Metrics for math.log10 on complex, imaginary part

analyze2.0ms (0.1%)

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 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-atan2: 0.0ms (0% of total)

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

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

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample702.0ms (26.2%)

Results

515.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 290.0ms

ival-log: 112.0ms (38.6% of total)

ival-atan2: 104.0ms (35.8% of total)

ival-div: 60.0ms (20.7% of total)

const: 13.0ms (4.5% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess19.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

104×	`sum3-define`
68×	`fma-define`
54×	`sub-neg`
52×	`fmsub-define`
32×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	42
1	33	42
2	47	42
3	67	42
4	101	42
5	136	42
6	167	42
7	203	42
8	269	42
9	273	42
10	275	42
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)))

Call 2

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

Outputs
(/ (atan2 im re) (log 10))
(/ (atan2 im (neg re)) (log 10))
(/ (atan2 (neg im) re) (log 10))
(neg (/ (atan2 im (neg re)) (log 10)))
(/ (atan2 im (neg re)) (neg (log 10)))
(neg (/ (atan2 (neg im) re) (log 10)))
(/ (atan2 (neg im) re) (neg (log 10)))
(/ (atan2 re im) (log 10))

explain60.0ms (2.3%)

FPErrors

Click to see full error table

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

Results

39.0ms

512×

valid

Compiler

Compiled 42 to 20 computations (52.4% saved)

Precisions

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

ival-atan2: 8.0ms (44% of total)

ival-log: 6.0ms (33% of total)

ival-div: 4.0ms (22% of total)

const: 1.0ms (5.5% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify3.0ms (0.1%)

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)

localize27.0ms (1%)

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

Results

20.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-log: 3.0ms (38.3% of total)

ival-atan2: 2.0ms (25.5% of total)

ival-div: 2.0ms (25.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series41.0ms (1.5%)

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
27.0ms	im	@	0	(/ (atan2 im re) (log 10))
12.0ms	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))

rewrite89.0ms (3.3%)

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	54	11
3	220	11
0	1219	11

Stop Event

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

Counts

3 → 108

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

simplify7.0ms (0.3%)

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)

eval22.0ms (0.8%)

Compiler: Compiled 1651 to 261 computations (84.2% saved)

prune20.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	149	7	156
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	149	8	157

Accuracy

100.0%

Counts

157 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.6%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
▶	98.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 #s(literal 10 binary64)))
▶	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
	88.6%	(/.f64 (-.f64 #s(literal 0 binary64) (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)))
▶	99.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
	98.5%	(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 180 to 136 computations (24.4% saved)

simplify28.0ms (1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 #s(literal 10 binary64)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
✓	cost-diff	0	(log.f64 #s(literal 1/10 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)))
✓	cost-diff	128	(/.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	128	(/.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	0	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
✓	cost-diff	-64	(neg.f64 (log.f64 #s(literal 1/10 binary64)))
✓	cost-diff	-64	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	cost-diff	0	(log.f64 #s(literal 1/10 binary64))
✓	cost-diff	0	(atan2.f64 im re)

Rules

252×	`fma-define`
178×	`sum3-define`
136×	`fmsub-define`
124×	`fma-lowering-fma.f32`
124×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	110
1	44	108
2	99	108
3	195	108
4	269	108
5	356	108
6	420	108
7	548	108
8	597	108
9	723	108
10	851	108
11	852	108
0	852	108

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

Outputs
(/ (atan2 im re) (neg (log 1/10)))
(-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(atan2 im re)
(atan2.f64 im re)
im
re
(neg (log 1/10))
(-.f64 #s(literal 0 binary64) (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 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (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 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (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 (/ 1 (atan2 im re))) (log 10))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/ 1 (/ 1 (atan2 im re)))
(atan2.f64 im re)
1
#s(literal 1 binary64)
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2 im re)
(atan2.f64 im re)
im
re
(log 10)
(log.f64 #s(literal 10 binary64))
10
#s(literal 10 binary64)

localize114.0ms (4.3%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
✓	accuracy	98.6%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 #s(literal 10 binary64)))
✓	accuracy	99.9%	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
✓	accuracy	98.7%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.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	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	accuracy	98.6%	(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	99.6%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
✓	accuracy	98.6%	(/.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	98.6%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))

Results

78.0ms

256×

valid

Compiler

Compiled 127 to 22 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 21.0ms (52.2% of total)

ival-log: 7.0ms (17.4% of total)

ival-neg: 5.0ms (12.4% of total)

...c/correct-round.rkt:119:19: 4.0ms (9.9% of total)

ival-atan2: 3.0ms (7.5% of total)

const: 1.0ms (2.5% of total)

backward-pass: 0.0ms (0% of total)

series47.0ms (1.8%)

Counts

15 → 264

Calls

Call 1

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

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

Calls

66 calls:

Time	Variable		Point	Expression
21.0ms	im	@	0	(/ (atan2 im re) (neg (log 1/10)))
6.0ms	im	@	-inf	(/ (log 10) (atan2 im re))
5.0ms	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)))

rewrite115.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

658×	`-lowering-.f32`
658×	`-lowering-.f64`
448×	`/-lowering-/.f32`
448×	`/-lowering-/.f64`
246×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	66
1	99	66
2	406	66
0	1498	66

Stop Event

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

Counts

15 → 593

Calls

Call 1

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

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

simplify37.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

56×	`sum3-define`
36×	`+-lowering-+.f64`
36×	`+-lowering-+.f32`
32×	`fma-define`
28×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	1440
1	23	1440
2	29	1440
3	35	1440
4	45	1440
5	57	1440
6	73	1440
7	88	1440
8	110	1440
9	155	1440
10	161	1440
11	164	1440
0	164	1440

Stop Event

1×	iter limit
1×	saturated

Counts

264 → 264

Calls

Call 1

Inputs
(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)))
(* -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))
(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))
(/ 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
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (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)))
(/ (atan2 im re) (log 10))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/ (atan2 im re) (log 10))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/ (atan2 im re) (log 10))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/ (atan2 im re) (log 10))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/ (atan2 im re) (log 10))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/ (atan2 im re) (log 10))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/ (atan2 im re) (log 10))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/ (atan2 im re) (log 10))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/ (atan2 im re) (log 10))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/ (atan2 im re) (log 10))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/ (atan2 im re) (log 10))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/ (atan2 im re) (log 10))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/ (atan2 im re) (log 10))
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/ (atan2 im re) (log 10))
(/.f64 (atan2.f64 im re) (log.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)
(/ 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))

eval117.0ms (4.3%)

Compiler: Compiled 13816 to 1297 computations (90.6% saved)

prune71.0ms (2.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1132	2	1134
Fresh	2	0	2
Picked	1	4	5
Done	0	1	1
Total	1135	7	1142

Accuracy

100.0%

Counts

1142 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.0%	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	99.8%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.6%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	99.7%	(/.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)))
▶	98.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))))
✓	99.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))

Compiler

Compiled 74 to 59 computations (20.3% saved)

simplify134.0ms (5%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	64	(pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))
✓	cost-diff	12864	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	cost-diff	12928	(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64)))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))))

Rules

1078×	`fma-define`
834×	`fnmadd-define`
730×	`fmsub-define`
604×	`fnmsub-define`
508×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	58
1	33	52
2	63	52
3	142	52
4	297	52
5	554	52
6	852	52
7	1231	52
8	1344	52
9	1556	52
10	1953	52
11	2108	52
12	2647	52
13	3729	52
14	4152	52
15	4236	52
16	4240	52
17	4288	52
18	4320	52
0	4320	52

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize81.0ms (3%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64))
✓	accuracy	99.3%	(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	accuracy	99.2%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	97.9%	(pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))))
✓	accuracy	99.3%	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64)))

Results

37.0ms	134×	0	valid
22.0ms	122×	0	invalid

Compiler

Compiled 71 to 18 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-log: 7.0ms (22.1% of total)

ival-pow: 7.0ms (22.1% of total)

ival-div: 6.0ms (18.9% of total)

...c/correct-round.rkt:119:19: 4.0ms (12.6% of total)

ival-mult: 3.0ms (9.5% of total)

ival-atan2: 3.0ms (9.5% of total)

const: 1.0ms (3.2% of total)

ival-neg: 1.0ms (3.2% of total)

backward-pass: 0.0ms (0% of total)

series5.0ms (0.2%)

Counts

9 → 168

Calls

Call 1

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

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

Calls

42 calls:

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

rewrite119.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`-lowering-.f32`
908×	`-lowering-.f64`
492×	`/-lowering-/.f32`
492×	`/-lowering-/.f64`
210×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	41
1	71	36
2	284	36
0	1609	36

Stop Event

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

Counts

9 → 417

Calls

Call 1

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

Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))))
(-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
(/.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 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
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simplify41.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

52×	`sum3-define`
32×	`fma-define`
32×	`+-lowering-+.f64`
32×	`+-lowering-+.f32`
26×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	792
1	22	792
2	28	792
3	34	792
4	44	792
5	56	792
6	72	792
7	87	792
8	107	792
9	147	792
10	151	792
11	153	792
0	153	792

Stop Event

1×	iter limit
1×	saturated

Counts

168 → 168

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))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ (log 10) (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(/ 1 (atan2 im re))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(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)))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (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)))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ (log 10) (atan2 im re))
(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(/ 1 (atan2 im re))
(/.f64 #s(literal 1 binary64) (atan2.f64 im re))
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
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(atan2 im re)
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(atan2 im re)
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(atan2 im re)
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(atan2 im re)
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(atan2 im re)
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(atan2 im re)
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(atan2 im re)
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(atan2 im re)
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(atan2 im re)
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(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
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(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
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(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))

eval71.0ms (2.6%)

Compiler: Compiled 8633 to 1112 computations (87.1% saved)

prune66.0ms (2.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	656	1	657
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	657	7	664

Accuracy

100.0%

Counts

664 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	54.0%	(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	99.8%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.6%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	99.7%	(/.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)))
✓	98.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))))
✓	99.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))

Compiler

Compiled 73 to 58 computations (20.5% saved)

simplify37.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(sqrt.f64 (atan2.f64 im re))
✓	cost-diff	12800	(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	cost-diff	12864	(pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))

Rules

322×	`fma-define`
288×	`fnmadd-define`
278×	`sum3-define`
266×	`fmsub-define`
220×	`fnmsub-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	17	26
2	32	26
3	57	26
4	78	26
5	106	26
6	144	26
7	193	26
8	227	26
9	324	26
10	502	26
11	584	26
12	790	26
13	1166	26
14	1314	26
15	1352	26
16	1377	26
17	1396	26
18	1404	26
0	1404	26

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

Outputs
(/ (pow (sqrt (atan2 im re)) 2) (neg (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(pow (sqrt (atan2 im re)) 2)
(atan2.f64 im re)
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(atan2 im re)
(atan2.f64 im re)
im
re
2
#s(literal 2 binary64)
(neg (log 1/10))
(-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64)))
(log 1/10)
(log.f64 #s(literal 1/10 binary64))
1/10
#s(literal 1/10 binary64)

localize48.0ms (1.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64))
✓	accuracy	99.3%	(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	accuracy	99.2%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	97.9%	(sqrt.f64 (atan2.f64 im re))

Results

19.0ms	122×	0	invalid
16.0ms	134×	0	valid

Compiler

Compiled 35 to 11 computations (68.6% saved)

Precisions

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

ival-log: 6.0ms (25.8% of total)

...c/correct-round.rkt:119:19: 5.0ms (21.5% of total)

ival-atan2: 4.0ms (17.2% of total)

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

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

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

ival-neg: 1.0ms (4.3% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series2.0ms (0.1%)

Counts

5 → 96

Calls

Call 1

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

Outputs
#<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 (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (sqrt (atan2 im re))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>

Calls

24 calls:

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

rewrite273.0ms (10.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3538×	`-lowering-.f32`
3538×	`-lowering-.f64`
2322×	`/-lowering-/.f32`
2322×	`/-lowering-/.f64`
938×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	37	18
2	154	18
3	822	18
4	6518	18
0	8128	18

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 472

Calls

Call 1

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

Outputs
(+.f64 (atan2.f64 im re) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (atan2.f64 im re))
(exp.f64 (log.f64 (atan2.f64 im re)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (log.f64 (atan2.f64 im re)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) #s(literal -1 binary64)))
(fabs.f64 (atan2.f64 im re))
(fabs.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(fabs.f64 (-.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) #s(literal 0 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(neg.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))
(/.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (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 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 3 binary64)))) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (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))) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) #s(literal 3 binary64))) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (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) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)))) (atan2.f64 im re))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (atan2.f64 im re) #s(literal 1 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 2 binary64)) #s(literal 1/2 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 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (atan2.f64 im re))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log.f64 (atan2.f64 im re))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (atan2.f64 im re))))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 (atan2.f64 im re)))
(pow.f64 (*.f64 (exp.f64 #s(literal 1/2 binary64)) (exp.f64 #s(literal 1/2 binary64))) (log.f64 (atan2.f64 im re)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 (atan2.f64 im re)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))
(*.f64 (atan2.f64 im re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (atan2.f64 im re))
(*.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (atan2.f64 im re)))
(*.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) (fabs.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) (/.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) (neg.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64)))))
(.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) (.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/8 binary64)) (.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/8 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64))))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64))))
(*.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64))) (/.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64))) (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64)))) (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64))) (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64))) (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64)))) (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)))
(.f64 (.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)))) (pow.f64 (atan2.f64 im re) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (atan2.f64 im re) #s(literal 3/4 binary64)) (pow.f64 (atan2.f64 im re) #s(literal 1/8 binary64))) (pow.f64 (atan2.f64 im re) #s(literal 1/8 binary64)))
(atan2.f64 im re)
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) #s(literal 0 binary64))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal 0 binary64)))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))) (.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))))
(+.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))))
(+.f64 (*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) #s(literal 0 binary64)) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(+.f64 (.f64 (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))) #s(literal 0 binary64)) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)))) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(+.f64 (.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))))
(exp.f64 (+.f64 (log.f64 (atan2.f64 im re)) (*.f64 #s(literal -1 binary64) (log.f64 (log.f64 #s(literal 10 binary64))))))
(exp.f64 (+.f64 (*.f64 #s(literal -1 binary64) (log.f64 (log.f64 #s(literal 10 binary64)))) (log.f64 (atan2.f64 im re))))
(exp.f64 (-.f64 (*.f64 #s(literal -1 binary64) (log.f64 (log.f64 #s(literal 10 binary64)))) (log.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)))))
(-.f64 #s(literal 0 binary64) (/.f64 (atan2.f64 im re) (log.f64 #s(literal 1/10 binary64))))
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(fma.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 4 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 4 binary64)))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) #s(literal 0 binary64))
(neg.f64 (log.f64 #s(literal 10 binary64)))
(/.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))
(/.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 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)) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(/.f64 (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 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64)))
(/.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)) (*.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 4 binary64))))
(/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 4 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 9 binary64))) (.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))) (.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))) (*.f64 (log.f64 #s(literal 10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 4 binary64))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)))
(/.f64 (/.f64 (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)))
(/.f64 (/.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))))
(/.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))
(*.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 1 binary64))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 10 binary64))))
(*.f64 (log.f64 #s(literal 1/10 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(*.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1 binary64))
(*.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(*.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))))
(.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))))
(*.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))
(*.f64 #s(literal -1 binary64) (log.f64 #s(literal 10 binary64)))
(*.f64 (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 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64))))
(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (/.f64 (log.f64 #s(literal 1/10 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 10 binary64))))
(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (/.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 10 binary64)))
(*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 1/10 binary64))) (log.f64 #s(literal 10 binary64)))
(*.f64 (/.f64 (log.f64 #s(literal 10 binary64)) (log.f64 #s(literal 10 binary64))) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (log.f64 #s(literal 1/10 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)) (log.f64 #s(literal 1/10 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)) (log.f64 #s(literal 1/10 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)) (log.f64 #s(literal 10 binary64))) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)) (log.f64 #s(literal 10 binary64))))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))))
(.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3/2 binary64)) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))))
(.f64 (/.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 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 (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) (*.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))) (log.f64 #s(literal 1/10 binary64)))
(.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64)))) (log.f64 #s(literal 10 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 4 binary64)))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64))) (log.f64 #s(literal 10 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 6 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 4 binary64)))
(*.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 4 binary64))) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 2 binary64)))
(.f64 (/.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal 4 binary64)))) (.f64 (log.f64 #s(literal 1/10 binary64)) (log.f64 #s(literal 10 binary64))))

simplify16.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

48×	`sum3-define`
32×	`fma-define`
28×	`+-lowering-+.f64`
28×	`+-lowering-+.f32`
24×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	408
1	13	408
2	20	408
3	26	408
4	36	408
5	48	408
6	64	408
7	79	408
8	97	408
9	132	408
10	134	408
11	135	408
0	135	408

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

Inputs
(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)))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(sqrt (atan2 im re))
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)
(atan2 im re)

Outputs
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(* -1 (/ (atan2 im re) (log 1/10)))
(/.f64 (atan2.f64 im re) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(sqrt (atan2 im re))
(sqrt.f64 (atan2.f64 im re))
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)
(atan2 im re)
(atan2.f64 im re)

eval58.0ms (2.2%)

Compiler: Compiled 8758 to 1280 computations (85.4% saved)

prune64.0ms (2.4%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	568	0	568
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	568	7	575

Accuracy

100.0%

Counts

575 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.0%	(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	99.8%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.6%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	99.7%	(/.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)))
✓	98.3%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))))
✓	99.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))

Compiler

Compiled 184 to 100 computations (45.7% saved)

regimes15.0ms (0.6%)

Counts

11 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))))
(/.f64 (/.f64 #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) (/.f64 #s(literal 1 binary64) (atan2.f64 im re))) (log.f64 #s(literal 10 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) #s(literal 2 binary64)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (pow.f64 (pow.f64 (atan2.f64 im re) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (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) (atan2.f64 im re)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))) (log.f64 #s(literal 10 binary64)))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes6.0ms (0.2%)

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:

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

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify8.0ms (0.3%)

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) (-.f64 #s(literal 0 binary64) (log.f64 #s(literal 1/10 binary64))))

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

soundness81.0ms (3%)

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	54	11
3	220	11
0	1219	11

Stop Event

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

Compiler

Compiled 25 to 18 computations (28% saved)

preprocess34.0ms (1.3%)

Compiler: Compiled 48 to 34 computations (29.2% saved)

Iter	Nodes	Cost
0	16	42
1	33	42
2	47	42
3	67	42
4	101	42
5	136	42
6	167	42
7	203	42
8	269	42
9	273	42
10	275	42
0	6	6
0	6	6

Iter	Nodes	Cost
0	21	110
1	44	108
2	99	108
3	195	108
4	269	108
5	356	108
6	420	108
7	548	108
8	597	108
9	723	108
10	851	108
11	852	108
0	852	108

Iter	Nodes	Cost
0	15	792
1	22	792
2	28	792
3	34	792
4	44	792
5	56	792
6	72	792
7	87	792
8	107	792
9	147	792
10	151	792
11	153	792
0	153	792

Iter	Nodes	Cost
0	9	408
1	13	408
2	20	408
3	26	408
4	36	408
5	48	408
6	64	408
7	79	408
8	97	408
9	132	408
10	134	408
11	135	408
0	135	408

Iter	Nodes	Cost
0	16	42
1	33	42
2	47	42
3	67	42
4	101	42
5	136	42
6	167	42
7	203	42
8	269	42
9	273	42
10	275	42
0	6	6
0	6	6

Iter	Nodes	Cost
0	21	110
1	44	108
2	99	108
3	195	108
4	269	108
5	356	108
6	420	108
7	548	108
8	597	108
9	723	108
10	851	108
11	852	108
0	852	108

Iter	Nodes	Cost
0	15	792
1	22	792
2	28	792
3	34	792
4	44	792
5	56	792
6	72	792
7	87	792
8	107	792
9	147	792
10	151	792
11	153	792
0	153	792

Iter	Nodes	Cost
0	9	408
1	13	408
2	20	408
3	26	408
4	36	408
5	48	408
6	64	408
7	79	408
8	97	408
9	132	408
10	134	408
11	135	408
0	135	408

analyze2.0ms (0.1%)

sample702.0ms (26.2%)

preprocess19.0ms (0.7%)

explain60.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize27.0ms (1%)

series41.0ms (1.5%)

rewrite89.0ms (3.3%)

simplify7.0ms (0.3%)

eval22.0ms (0.8%)

prune20.0ms (0.7%)

simplify28.0ms (1%)

localize114.0ms (4.3%)

series47.0ms (1.8%)

rewrite115.0ms (4.3%)

simplify37.0ms (1.4%)

eval117.0ms (4.3%)

prune71.0ms (2.7%)

simplify134.0ms (5%)

localize81.0ms (3%)

series5.0ms (0.2%)

rewrite119.0ms (4.4%)

simplify41.0ms (1.5%)

eval71.0ms (2.6%)

prune66.0ms (2.5%)

simplify37.0ms (1.4%)

localize48.0ms (1.8%)

series2.0ms (0.1%)

rewrite273.0ms (10.2%)

simplify16.0ms (0.6%)

eval58.0ms (2.2%)

prune64.0ms (2.4%)

regimes15.0ms (0.6%)

regimes6.0ms (0.2%)

simplify8.0ms (0.3%)

soundness81.0ms (3%)

preprocess34.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	42
1	33	42
2	47	42
3	67	42
4	101	42
5	136	42
6	167	42
7	203	42
8	269	42
9	273	42
10	275	42
0	6	6
0	6	6

Iter	Nodes	Cost
0	21	110
1	44	108
2	99	108
3	195	108
4	269	108
5	356	108
6	420	108
7	548	108
8	597	108
9	723	108
10	851	108
11	852	108
0	852	108

Iter	Nodes	Cost
0	15	792
1	22	792
2	28	792
3	34	792
4	44	792
5	56	792
6	72	792
7	87	792
8	107	792
9	147	792
10	151	792
11	153	792
0	153	792

Iter	Nodes	Cost
0	9	408
1	13	408
2	20	408
3	26	408
4	36	408
5	48	408
6	64	408
7	79	408
8	97	408
9	132	408
10	134	408
11	135	408
0	135	408