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)

sample744.0ms (18.5%)

Results

544.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 261.0ms

ival-log: 103.0ms (39.5% of total)

ival-atan2: 84.0ms (32.2% of total)

ival-div: 58.0ms (22.2% of total)

const: 12.0ms (4.6% of total)

backward-pass: 3.0ms (1.1% of total)

Bogosity

preprocess21.0ms (0.5%)

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))

explain68.0ms (1.7%)

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

48.0ms

512×

valid

Compiler

Compiled 42 to 20 computations (52.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-atan2: 9.0ms (45.3% of total)

ival-log: 7.0ms (35.3% of total)

ival-div: 4.0ms (20.2% of total)

const: 1.0ms (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
▶	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (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)

localize38.0ms (0.9%)

Localize:

Found 3 expressions of interest:

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

Results

31.0ms

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 (39.5% of total)

ival-atan2: 2.0ms (26.4% of total)

ival-div: 2.0ms (26.4% of total)

const: 0.0ms (0% of total)

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

series34.0ms (0.8%)

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
26.0ms	im	@	0	(/ (atan2 im re) (log 10))
5.0ms	re	@	0	(/ (atan2 im re) (log 10))
0.0ms	re	@	-inf	(/ (atan2 im re) (log 10))
0.0ms	im	@	-inf	(/ (atan2 im re) (log 10))
0.0ms	im	@	inf	(/ (atan2 im re) (log 10))

rewrite99.0ms (2.5%)

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	1223	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 (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	216
0	6	216

Stop Event

1×	iter limit
1×	saturated

Counts

48 → 48

Calls

Call 1

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

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

eval20.0ms (0.5%)

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

prune17.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	150	6	156
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	150	7	157

Accuracy

100.0%

Counts

157 → 7

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))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
	86.7%	(/.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))))
▶	98.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
▶	99.2%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
▶	98.7%	(.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)))
▶	98.0%	(*.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)))

Compiler

Compiled 182 to 118 computations (35.2% saved)

simplify466.0ms (11.6%)

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 0 binary64) (atan2.f64 im re))
✓	cost-diff	256	(/.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))))
✓	cost-diff	19712	(*.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)))
✓	cost-diff	0	(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
✓	cost-diff	0	(log.f64 #s(literal 10 binary64))
✓	cost-diff	0	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64))
✓	cost-diff	19456	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(log.f64 #s(literal 10 binary64))
✓	cost-diff	0	(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
✓	cost-diff	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

1958×	`fmsub-define`
1890×	`fnmsub-define`
1882×	`fma-lowering-fma.f32`
1882×	`fma-lowering-fma.f64`
1780×	`-lowering-.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	135
1	57	134
2	112	129
3	325	129
4	1584	129
5	3728	129
6	5788	129
0	8414	129

Stop Event

1×	iter limit
1×	node limit

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
(* (pow (log 10) -1/2) (* (pow (log 10) -1/2) (atan2 im re)))
(pow (log 10) -1/2)
(log 10)
10
-1/2
(* (pow (log 10) -1/2) (atan2 im re))
(atan2 im re)
im
re
(* (/ (- 0 (atan2 im re)) (- 0 (pow (log 10) 3))) (pow (log 10) 2))
(/ (- 0 (atan2 im re)) (- 0 (pow (log 10) 3)))
(- 0 (atan2 im re))
0
(atan2 im re)
im
re
(- 0 (pow (log 10) 3))
(pow (log 10) 3)
(log 10)
10
3
(pow (log 10) 2)
2

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

localize242.0ms (6%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.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))))
✓	accuracy	99.8%	(*.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)))
✓	accuracy	98.4%	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))
✓	accuracy	97.5%	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.9%	(*.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re))
✓	accuracy	98.8%	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	accuracy	98.7%	(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	99.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
✓	accuracy	98.7%	(/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(neg.f64 (log.f64 #s(literal 1/10 binary64)))
✓	accuracy	98.7%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))

Results

165.0ms

256×

valid

Compiler

Compiled 160 to 29 computations (81.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 70.0ms

ival-mult: 29.0ms (41.3% of total)

ival-pow: 13.0ms (18.5% of total)

ival-div: 10.0ms (14.2% of total)

ival-log: 7.0ms (10% of total)

...c/correct-round.rkt:119:19: 4.0ms (5.7% of total)

ival-sub: 3.0ms (4.3% of total)

ival-atan2: 3.0ms (4.3% of total)

const: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

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

series44.0ms (1.1%)

Counts

17 → 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 (* (pow (log 10) -1/2) (* (pow (log 10) -1/2) (atan2 im re)))>
#<alt (pow (log 10) -1/2)>
#<alt (* (pow (log 10) -1/2) (atan2 im re))>
#<alt (* (/ (- 0 (atan2 im re)) (- 0 (pow (log 10) 3))) (pow (log 10) 2))>
#<alt (/ (- 0 (atan2 im re)) (- 0 (pow (log 10) 3)))>
#<alt (- 0 (atan2 im re))>
#<alt (pow (log 10) 3)>
#<alt (pow (log 10) 2)>

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 (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (* (sqrt (/ 1 (log 10))) (atan2 im re))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (log 10))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<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
18.0ms	im	@	0	(/ (atan2 im re) (neg (log 1/10)))
10.0ms	re	@	0	(/ (atan2 im re) (neg (log 1/10)))
1.0ms	im	@	0	(/ (- 0 (atan2 im re)) (- 0 (pow (log 10) 3)))
1.0ms	im	@	0	(* (pow (log 10) -1/2) (atan2 im re))
1.0ms	re	@	-inf	(/ (atan2 im re) (neg (log 1/10)))

rewrite276.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3330×	`-lowering-.f32`
3330×	`-lowering-.f64`
2110×	`/-lowering-/.f32`
2110×	`/-lowering-/.f64`
1978×	`frac-times`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	94
1	133	88
2	853	86
0	10090	86

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 1414

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)
(* (pow (log 10) -1/2) (* (pow (log 10) -1/2) (atan2 im re)))
(pow (log 10) -1/2)
(* (pow (log 10) -1/2) (atan2 im re))
(* (/ (- 0 (atan2 im re)) (- 0 (pow (log 10) 3))) (pow (log 10) 2))
(/ (- 0 (atan2 im re)) (- 0 (pow (log 10) 3)))
(- 0 (atan2 im re))
(pow (log 10) 3)
(pow (log 10) 2)

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

simplify76.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

74×	`sum3-define`
48×	`+-lowering-+.f64`
48×	`+-lowering-+.f32`
40×	`fma-define`
32×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	1608
1	33	1608
2	43	1608
3	51	1608
4	59	1608
5	75	1608
6	90	1608
7	120	1608
8	196	1608
9	213	1608
10	219	1608
11	220	1608
0	220	1608

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

eval275.0ms (6.8%)

Compiler: Compiled 35245 to 3376 computations (90.4% saved)

prune270.0ms (6.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	2138	2	2140
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	2140	7	2147

Accuracy

100.0%

Counts

2147 → 7

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))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	98.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
▶	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
✓	99.2%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
✓	98.7%	(.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)))
▶	98.0%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))

Compiler

Compiled 79 to 59 computations (25.3% saved)

simplify351.0ms (8.7%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
✓	cost-diff	0	(*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
✓	cost-diff	0	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)))
✓	cost-diff	19456	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))

Rules

2932×	`-lowering-.f32`
2932×	`-lowering-.f64`
2728×	`/-lowering-/.f32`
2728×	`/-lowering-/.f64`
1904×	`fnmadd-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	71
1	32	67
2	68	62
3	141	60
4	246	60
5	743	60
6	3030	60
7	4297	60
8	6708	60
0	8626	60

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(* (/ (atan2 im re) (pow (log 10) 3)) (pow (log 10) 2))
(/ (atan2 im re) (pow (log 10) 3))
(atan2 im re)
im
re
(pow (log 10) 3)
(log 10)
10
3
(pow (log 10) 2)
2
(/ 1 (* (/ -1 (atan2 im re)) (log 1/10)))
1
(* (/ -1 (atan2 im re)) (log 1/10))
(/ -1 (atan2 im re))
-1
(atan2 im re)
im
re
(log 1/10)
1/10

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

localize153.0ms (3.8%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
✓	accuracy	98.7%	(*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64)))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	99.9%	(/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64)))
✓	accuracy	99.8%	(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))) (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)))
✓	accuracy	98.4%	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))
✓	accuracy	97.5%	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 3 binary64))

Results

131.0ms

256×

valid

Compiler

Compiled 75 to 19 computations (74.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

ival-atan2: 58.0ms (62% of total)

ival-mult: 11.0ms (11.8% of total)

ival-log: 7.0ms (7.5% of total)

ival-pow: 7.0ms (7.5% of total)

ival-div: 5.0ms (5.3% of total)

...c/correct-round.rkt:119:19: 4.0ms (4.3% of total)

const: 1.0ms (1.1% of total)

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

series6.0ms (0.1%)

Counts

9 → 144

Calls

Call 1

Inputs
#<alt (* (/ (atan2 im re) (pow (log 10) 3)) (pow (log 10) 2))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (atan2 im re)>
#<alt (pow (log 10) 3)>
#<alt (/ 1 (* (/ -1 (atan2 im re)) (log 1/10)))>
#<alt (* (/ -1 (atan2 im re)) (log 1/10))>
#<alt (/ -1 (atan2 im re))>
#<alt (pow (log 10) 2)>
#<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 (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (/ (atan2 im re) (pow (log 10) 3))>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (atan2 im re)>
#<alt (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 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (* -1 (/ (log 1/10) (atan2 im re)))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>
#<alt (/ -1 (atan2 im re))>

Calls

36 calls:

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

rewrite104.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`-lowering-.f32`
886×	`-lowering-.f64`
670×	`/-lowering-/.f32`
670×	`/-lowering-/.f64`
232×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	60
1	64	56
2	310	43
0	1580	43

Stop Event

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

Counts

9 → 414

Calls

Call 1

Inputs
(* (/ (atan2 im re) (pow (log 10) 3)) (pow (log 10) 2))
(/ (atan2 im re) (pow (log 10) 3))
(atan2 im re)
(pow (log 10) 3)
(/ 1 (* (/ -1 (atan2 im re)) (log 1/10)))
(* (/ -1 (atan2 im re)) (log 1/10))
(/ -1 (atan2 im re))
(pow (log 10) 2)
(log 1/10)

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

simplify43.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

92×	`sum3-define`
56×	`fma-define`
52×	`+-lowering-+.f64`
52×	`+-lowering-+.f32`
42×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	864
1	28	864
2	43	864
3	57	864
4	68	864
5	88	864
6	107	864
7	127	864
8	163	864
9	248	864
10	258	864
11	263	864
0	263	864

Stop Event

1×	iter limit
1×	saturated

Counts

144 → 144

Calls

Call 1

Inputs
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (log 10))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(/ (atan2 im re) (pow (log 10) 3))
(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 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (atan2 im re)))
(* -1 (/ (log 1/10) (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))

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

eval90.0ms (2.2%)

Compiler: Compiled 8165 to 833 computations (89.8% saved)

prune62.0ms (1.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	601	1	602
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	602	7	609

Accuracy

100.0%

Counts

609 → 7

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))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	98.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
▶	98.1%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))))
✓	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
✓	99.2%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
✓	98.7%	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)))

Compiler

Compiled 76 to 57 computations (25% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 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	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

32×	`-lowering-.f32`
32×	`-lowering-.f64`
26×	`/-lowering-/.f32`
26×	`/-lowering-/.f64`
16×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	18	25
2	29	25
3	51	25
4	60	25
0	60	25

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

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)

localize49.0ms (1.2%)

Localize:

Found 4 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	99.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))))
✓	accuracy	98.7%	(*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64)))

Results

38.0ms

256×

valid

Compiler

Compiled 35 to 10 computations (71.4% saved)

Precisions

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

ival-div: 4.0ms (34.4% of total)

ival-log: 3.0ms (25.8% of total)

ival-atan2: 2.0ms (17.2% of total)

ival-mult: 2.0ms (17.2% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

5 → 96

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

Calls

24 calls:

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

rewrite164.0ms (4.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1080×	`-lowering-.f32`
1080×	`-lowering-.f64`
676×	`/-lowering-/.f32`
676×	`/-lowering-/.f64`
296×	`unpow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	32	21
2	141	21
3	508	21
0	2929	21

Stop Event

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

Counts

5 → 356

Calls

Call 1

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

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	456
1	12	456
0	12	456

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

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

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

eval53.0ms (1.3%)

Compiler: Compiled 6430 to 977 computations (84.8% saved)

prune49.0ms (1.2%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	452	0	452
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	452	7	459

Accuracy

100.0%

Counts

459 → 7

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))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	98.1%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	98.1%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 10 binary64))))
✓	99.2%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (log.f64 #s(literal 1/10 binary64))))
✓	99.2%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
✓	98.7%	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -1/2 binary64)) (atan2.f64 im re)))

Compiler

Compiled 192 to 98 computations (49% saved)

regimes13.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes23.0ms (0.6%)

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:

19.0ms	re
1.0ms	im
1.0ms	(atan2.f64 im re)
1.0ms	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify7.0ms (0.2%)

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)))

soundness92.0ms (2.3%)

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	1223	11

Stop Event

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

Compiler

Compiled 25 to 18 computations (28% saved)

preprocess43.0ms (1.1%)

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	17	864
1	28	864
2	43	864
3	57	864
4	68	864
5	88	864
6	107	864
7	127	864
8	163	864
9	248	864
10	258	864
11	263	864
0	263	864

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	17	864
1	28	864
2	43	864
3	57	864
4	68	864
5	88	864
6	107	864
7	127	864
8	163	864
9	248	864
10	258	864
11	263	864
0	263	864

analyze2.0ms (0.1%)

sample744.0ms (18.5%)

preprocess21.0ms (0.5%)

explain68.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize38.0ms (0.9%)

series34.0ms (0.8%)

rewrite99.0ms (2.5%)

simplify7.0ms (0.2%)

eval20.0ms (0.5%)

prune17.0ms (0.4%)

simplify466.0ms (11.6%)

localize242.0ms (6%)

series44.0ms (1.1%)

rewrite276.0ms (6.9%)

simplify76.0ms (1.9%)

eval275.0ms (6.8%)

prune270.0ms (6.7%)

simplify351.0ms (8.7%)

localize153.0ms (3.8%)

series6.0ms (0.1%)

rewrite104.0ms (2.6%)

simplify43.0ms (1.1%)

eval90.0ms (2.2%)

prune62.0ms (1.5%)

simplify6.0ms (0.1%)

localize49.0ms (1.2%)

series3.0ms (0.1%)

rewrite164.0ms (4.1%)

simplify12.0ms (0.3%)

eval53.0ms (1.3%)

prune49.0ms (1.2%)

regimes13.0ms (0.3%)

regimes23.0ms (0.6%)

simplify7.0ms (0.2%)

soundness92.0ms (2.3%)

preprocess43.0ms (1.1%)

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	17	864
1	28	864
2	43	864
3	57	864
4	68	864
5	88	864
6	107	864
7	127	864
8	163	864
9	248	864
10	258	864
11	263	864
0	263	864