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)

sample755.0ms (22.2%)

Results

543.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 262.0ms

ival-log: 100.0ms (38.1% of total)

ival-atan2: 86.0ms (32.8% of total)

ival-div: 62.0ms (23.6% of total)

const: 11.0ms (4.2% of total)

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

Bogosity

preprocess52.0ms (1.5%)

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))

explain69.0ms (2%)

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

47.0ms

512×

valid

Compiler

Compiled 42 to 20 computations (52.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-atan2: 6.0ms (35.8% of total)

ival-log: 6.0ms (35.8% of total)

ival-div: 4.0ms (23.9% of total)

const: 1.0ms (6% 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)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	14
0	6	14

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize36.0ms (1%)

Localize:

Found 3 expressions of interest:

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

Results

25.0ms

256×

valid

Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions

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

ival-atan2: 3.0ms (37.5% of total)

ival-log: 3.0ms (37.5% of total)

ival-div: 2.0ms (25% of total)

const: 0.0ms (0% of total)

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

series37.0ms (1.1%)

Counts

3 → 48

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
27.0ms	im	@	0	(/ (atan2 im re) (log 10))
9.0ms	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))

rewrite107.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`/-lowering-/.f32`
578×	`/-lowering-/.f64`
552×	`-lowering-.f32`
552×	`-lowering-.f64`
414×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	14	11
2	54	11
3	190	11
4	583	11
0	2281	11

Stop Event

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

Counts

3 → 94

Calls

Call 1

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

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

eval15.0ms (0.4%)

Compiler: Compiled 1259 to 197 computations (84.4% saved)

prune23.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	135	7	142
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	135	8	143

Accuracy

100.0%

Counts

143 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
▶	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
▶	98.2%	(/.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) (atan2.f64 im re)))
▶	98.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
▶	99.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
	82.8%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))) (pow.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) #s(literal 2 binary64)))
	83.8%	(*.f64 (/.f64 #s(literal -1 binary64) (atan2.f64 im re)) (/.f64 (pow.f64 (-.f64 #s(literal 0 binary64) (atan2.f64 im re)) #s(literal 2 binary64)) (log.f64 #s(literal 1/10 binary64))))

Compiler

Compiled 188 to 142 computations (24.5% saved)

simplify150.0ms (4.4%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(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 2 binary64)) (atan2.f64 im re))
✓	cost-diff	0	(log.f64 #s(literal 10 binary64))
✓	cost-diff	12992	(/.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) (atan2.f64 im re)))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
✓	cost-diff	0	(log.f64 #s(literal 1/10 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)))
✓	cost-diff	128	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(log.f64 #s(literal 10 binary64))
✓	cost-diff	0	(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	cost-diff	0	(atan2.f64 im re)
✓	cost-diff	0	(log.f64 #s(literal 1/10 binary64))
✓	cost-diff	0	(/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
✓	cost-diff	-64	(neg.f64 (log.f64 #s(literal 1/10 binary64)))
✓	cost-diff	-64	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	cost-diff	0	(log.f64 #s(literal 1/10 binary64))
✓	cost-diff	0	(atan2.f64 im re)

Rules

2588×	`-lowering-.f32`
2588×	`-lowering-.f64`
1790×	`fmsub-define`
1606×	`fma-define`
1446×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	115
1	41	113
2	72	111
3	104	111
4	195	111
5	388	111
6	1545	111
7	2901	111
8	6001	111
0	8238	111

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

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

localize149.0ms (4.4%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.4%	(/.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) (atan2.f64 im re)))
✓	accuracy	98.7%	(/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) (atan2.f64 im re))
✓	accuracy	98.4%	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64))
✓	accuracy	99.9%	(/.f64 #s(literal -1 binary64) (atan2.f64 im re))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64)))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	98.3%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(log.f64 #s(literal 10 binary64))
✓	accuracy	99.4%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	accuracy	98.7%	(/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	99.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
✓	accuracy	98.7%	(/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	100.0%	(atan2.f64 im re)
✓	accuracy	100.0%	(neg.f64 (log.f64 #s(literal 1/10 binary64)))
✓	accuracy	98.7%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))

Results

114.0ms

256×

valid

Compiler

Compiled 128 to 23 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 16.0ms (42.9% of total)

ival-log: 8.0ms (21.5% of total)

...c/correct-round.rkt:119:19: 6.0ms (16.1% of total)

ival-atan2: 3.0ms (8% of total)

ival-pow: 3.0ms (8% of total)

const: 1.0ms (2.7% of total)

ival-neg: 1.0ms (2.7% of total)

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

series50.0ms (1.5%)

Counts

15 → 240

Calls

Call 1

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

Calls

60 calls:

Time	Variable		Point	Expression
28.0ms	im	@	0	(/ (atan2 im re) (neg (log 1/10)))
6.0ms	re	@	0	(/ (atan2 im re) (neg (log 1/10)))
1.0ms	im	@	inf	(/ 1 (/ (log 10) (atan2 im re)))
1.0ms	re	@	inf	(/ (atan2 im re) (neg (log 1/10)))
1.0ms	im	@	inf	(/ (atan2 im re) (neg (log 1/10)))

rewrite244.0ms (7.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2582×	`fma-lowering-fma.f32`
2582×	`fma-lowering-fma.f64`
1504×	`+-lowering-+.f64`
1504×	`+-lowering-+.f32`
1466×	`fnmadd-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	71
1	98	69
2	445	69
3	1853	69
4	4864	69
0	8469	69

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 1133

Calls

Call 1

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

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

simplify38.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	1464
1	22	1440
2	31	1440
3	38	1440
4	48	1440
5	60	1440
6	76	1440
7	91	1440
8	113	1440
9	158	1440
10	164	1440
11	167	1440
0	167	1440

Stop Event

1×	iter limit
1×	saturated

Counts

240 → 240

Calls

Call 1

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

eval199.0ms (5.9%)

Compiler: Compiled 22867 to 2061 computations (91% saved)

prune119.0ms (3.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	1708	1	1709
Fresh	2	0	2
Picked	0	5	5
Done	0	1	1
Total	1710	7	1717

Accuracy

100.0%

Counts

1717 → 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)))
✓	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
▶	98.3%	(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	98.2%	(/.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) (atan2.f64 im re)))
✓	98.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	99.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))

Compiler

Compiled 77 to 59 computations (23.4% saved)

simplify37.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(log.f64 #s(literal 1/10 binary64))
✓	cost-diff	0	(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64))
✓	cost-diff	12864	(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (log.f64 #s(literal 1/10 binary64)))
✓	cost-diff	12992	(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))

Rules

676×	`fma-define`
352×	`sum3-define`
322×	`fnmadd-define`
228×	`fma-lowering-fma.f32`
228×	`fmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	19	33
2	33	31
3	60	29
4	99	29
5	170	29
6	225	29
7	303	29
8	388	29
9	623	29
10	799	29
11	1087	29
12	1164	29
13	1510	29
14	1513	29
15	1520	29
0	1520	29

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize63.0ms (1.8%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.4%	(pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64))
✓	accuracy	98.4%	(*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (log.f64 #s(literal 1/10 binary64)))
✓	accuracy	98.4%	(log.f64 #s(literal 1/10 binary64))
✓	accuracy	98.3%	(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))

Results

46.0ms

256×

valid

Compiler

Compiled 42 to 12 computations (71.4% saved)

Precisions

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

ival-pow: 5.0ms (23% of total)

ival-div: 4.0ms (18.4% of total)

ival-log: 4.0ms (18.4% of total)

...c/correct-round.rkt:119:19: 4.0ms (18.4% of total)

ival-atan2: 3.0ms (13.8% of total)

ival-mult: 2.0ms (9.2% of total)

const: 1.0ms (4.6% of total)

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

series1.0ms (0%)

Counts

4 → 24

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite174.0ms (5.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1708×	`-lowering-.f32`
1708×	`-lowering-.f64`
1312×	`/-lowering-/.f32`
1312×	`/-lowering-/.f64`
1272×	`prod-exp`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	36	19
2	162	15
3	681	15
4	2182	15
0	8428	15

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 269

Calls

Call 1

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

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

simplify20.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	168
1	12	168
2	19	168
3	25	168
4	35	168
5	47	168
6	63	168
7	78	168
8	96	168
9	131	168
10	133	168
11	134	168
0	134	168

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

Outputs
(* -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))))

eval36.0ms (1%)

Compiler: Compiled 6184 to 833 computations (86.5% saved)

prune39.0ms (1.1%)

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	324	1	325
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	324	8	332

Accuracy

100.0%

Counts

332 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	98.3%	(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	98.2%	(/.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) (atan2.f64 im re)))
✓	98.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	99.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
▶	98.7%	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))

Compiler

Compiled 90 to 68 computations (24.4% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	cost-diff	0	(log.f64 #s(literal 10 binary64))
✓	cost-diff	0	(pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -2 binary64))
✓	cost-diff	12992	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))

Rules

52×	`-lowering-.f32`
52×	`-lowering-.f64`
28×	`associate-r`
18×	`/-lowering-/.f32`
18×	`/-lowering-/.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	13	30
2	20	27
3	26	27
4	29	26
5	34	25
6	36	25
7	59	25
8	59	25
9	66	25
10	76	25
11	76	25
0	76	25

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize43.0ms (1.3%)

Localize:

Found 4 expressions of interest:

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

Results

33.0ms

256×

valid

Compiler

Compiled 33 to 10 computations (69.7% saved)

Precisions

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

ival-log: 4.0ms (32.7% of total)

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

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

ival-atan2: 2.0ms (16.3% of total)

const: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Counts

4 → 48

Calls

Call 1

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

Calls

12 calls:

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

rewrite496.0ms (14.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`-lowering-.f32`
1562×	`-lowering-.f64`
1504×	`fma-lowering-fma.f32`
1504×	`fma-lowering-fma.f64`
1272×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	16	23
2	26	20
3	37	20
4	49	18
5	72	18
6	125	18
7	272	18
8	830	18
9	3637	18
0	8550	18

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 469

Calls

Call 1

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

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

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

4×	`-lowering-.f32`
4×	`-lowering-.f64`
2×	`*-commutative`
2×	`atan2-lowering-atan2.f32`
2×	`log-lowering-log.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	288
1	8	288
0	8	288

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))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))
(* (log 10) (atan2 im re))

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

eval70.0ms (2%)

Compiler: Compiled 11736 to 1391 computations (88.1% saved)

prune155.0ms (4.6%)

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	629	0	629
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	629	8	637

Accuracy

100.0%

Counts

637 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 #s(literal 1/10 binary64))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64)))
✓	99.4%	(/.f64 (/.f64 #s(literal 1 binary64) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	98.3%	(/.f64 (*.f64 (pow.f64 (log.f64 #s(literal 1/10 binary64)) #s(literal -2 binary64)) (log.f64 #s(literal 1/10 binary64))) (/.f64 #s(literal -1 binary64) (atan2.f64 im re)))
✓	98.2%	(/.f64 (log.f64 #s(literal 10 binary64)) (/.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal 2 binary64)) (atan2.f64 im re)))
✓	98.3%	(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 #s(literal 10 binary64)) (atan2.f64 im re)))
✓	99.4%	(/.f64 #s(literal -1 binary64) (/.f64 (log.f64 #s(literal 1/10 binary64)) (atan2.f64 im re)))
✓	98.7%	(.f64 (pow.f64 (log.f64 #s(literal 10 binary64)) #s(literal -2 binary64)) (.f64 (atan2.f64 im re) (log.f64 #s(literal 10 binary64))))

Compiler

Compiled 198 to 105 computations (47% saved)

regimes13.0ms (0.4%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.8%	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)

regimes8.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(atan2.f64 im re)
1.0ms	im
1.0ms	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)))

soundness138.0ms (4.1%)

Rules

578×	`/-lowering-/.f32`
578×	`/-lowering-/.f64`
552×	`-lowering-.f32`
552×	`-lowering-.f64`
414×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	14	11
2	54	11
3	190	11
4	583	11
0	2281	11

Stop Event

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

Compiler

Compiled 25 to 18 computations (28% saved)

preprocess25.0ms (0.7%)

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	8	168
1	12	168
2	19	168
3	25	168
4	35	168
5	47	168
6	63	168
7	78	168
8	96	168
9	131	168
10	133	168
11	134	168
0	134	168

Iter	Nodes	Cost
0	9	30
1	13	30
2	20	27
3	26	27
4	29	26
5	34	25
6	36	25
7	59	25
8	59	25
9	66	25
10	76	25
11	76	25
0	76	25

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	8	168
1	12	168
2	19	168
3	25	168
4	35	168
5	47	168
6	63	168
7	78	168
8	96	168
9	131	168
10	133	168
11	134	168
0	134	168

Iter	Nodes	Cost
0	9	30
1	13	30
2	20	27
3	26	27
4	29	26
5	34	25
6	36	25
7	59	25
8	59	25
9	66	25
10	76	25
11	76	25
0	76	25

analyze2.0ms (0.1%)

sample755.0ms (22.2%)

preprocess52.0ms (1.5%)

explain69.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize36.0ms (1%)

series37.0ms (1.1%)

rewrite107.0ms (3.1%)

simplify7.0ms (0.2%)

eval15.0ms (0.4%)

prune23.0ms (0.7%)

simplify150.0ms (4.4%)

localize149.0ms (4.4%)

series50.0ms (1.5%)

rewrite244.0ms (7.2%)

simplify38.0ms (1.1%)

eval199.0ms (5.9%)

prune119.0ms (3.5%)

simplify37.0ms (1.1%)

localize63.0ms (1.8%)

series1.0ms (0%)

rewrite174.0ms (5.1%)

simplify20.0ms (0.6%)

eval36.0ms (1%)

prune39.0ms (1.1%)

simplify7.0ms (0.2%)

localize43.0ms (1.3%)

series2.0ms (0.1%)

rewrite496.0ms (14.6%)

simplify11.0ms (0.3%)

eval70.0ms (2%)

prune155.0ms (4.6%)

regimes13.0ms (0.4%)

regimes8.0ms (0.2%)

simplify7.0ms (0.2%)

soundness138.0ms (4.1%)

preprocess25.0ms (0.7%)

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	8	168
1	12	168
2	19	168
3	25	168
4	35	168
5	47	168
6	63	168
7	78	168
8	96	168
9	131	168
10	133	168
11	134	168
0	134	168

Iter	Nodes	Cost
0	9	30
1	13	30
2	20	27
3	26	27
4	29	26
5	34	25
6	36	25
7	59	25
8	59	25
9	66	25
10	76	25
11	76	25
0	76	25