Metrics for math.log10 on complex, imaginary part

analyze0.0ms (0%)

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
100%	99.9%	0%	0.1%	0%	0%	0%	3

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.1s (22.2%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess21.0ms (0.4%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 re im) (log.f64 10))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 re im) (log.f64 10))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Accurracy

98.7%

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 12 computations (25% saved)

localize41.0ms (0.8%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 17 to 10 computations (41.2% saved)

series30.0ms (0.6%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
5.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	re	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	im	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite85.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1712×	`pow1`
1578×	`add-exp-log`
1578×	`log1p-expm1-u`
1578×	`expm1-log1p-u`
1540×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	178	17
2	2135	17

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))

Outputs
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

simplify50.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1364×	`log-prod`
962×	`fma-def`
942×	`associate-r`
856×	`associate-l`
572×	`log-div`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	86	929
1	198	749
2	637	581
3	4195	581

Stop Event

1×	node limit

Counts

31 → 36

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

Outputs
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))

eval8.0ms (0.2%)

Compiler: Compiled 411 to 258 computations (37.2% saved)

prune78.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	28	8	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	9	37

Accurracy

100.0%

Counts

37 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
	52.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.7%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	78.3%	(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
▶	51.3%	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
	98.7%	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
▶	86.6%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
▶	85.7%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
	98.0%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
	52.1%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.7%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	78.3%	(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
▶	51.3%	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
	98.7%	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
▶	86.6%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
▶	85.7%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))

Compiler

Compiled 404 to 320 computations (20.8% saved)

localize433.0ms (8.8%)

Local Accuracy

Found 15 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
✓	99.7%	(/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))
✓	98.2%	(sqrt.f64 (atan2.f64 im re))
✓	99.4%	(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
✓	99.4%	(pow.f64 (atan2.f64 im re) 3)
✓	98.8%	(pow.f64 (log.f64 10) 3)
✓	92.9%	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
✓	99.4%	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)
	99.3%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	92.9%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
✓	100.0%	(+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
	99.3%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	89.4%	(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
✓	99.3%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	99.2%	(log.f64 1/10)

Compiler

Compiled 166 to 89 computations (46.4% saved)

series52.0ms (1.1%)

Counts

13 → 168

Calls

66 calls:

Time	Variable		Point	Expression
17.0ms	im	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
13.0ms	im	@	0	(pow.f64 (atan2.f64 im re) 3)
6.0ms	re	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
1.0ms	im	@	0	(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
1.0ms	im	@	inf	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))

rewrite304.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`fma-def`
658×	`expm1-udef`
650×	`log1p-udef`
474×	`add-sqr-sqrt`
456×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	235
1	595	215
2	6754	215

Stop Event

1×	node limit

Counts

13 → 1200

Calls

Call 1

Inputs
(log.f64 1/10)
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(pow.f64 (log.f64 10) 3)
(pow.f64 (atan2.f64 im re) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(sqrt.f64 (atan2.f64 im re))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))

Outputs
(-.f64 0 (log.f64 10))
(-.f64 (exp.f64 (log1p.f64 (log.f64 1/10))) 1)
(*.f64 (log.f64 1/10) 1)
(*.f64 1 (log.f64 1/10))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (neg.f64 (cbrt.f64 (log.f64 10))))
(*.f64 (cbrt.f64 (log.f64 1/10)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (cbrt.f64 (log.f64 1/10)))
(*.f64 (sqrt.f64 (log.f64 10)) (neg.f64 (sqrt.f64 (log.f64 10))))
(*.f64 (sqrt.f64 (log.f64 1/10)) (sqrt.f64 (log.f64 1/10)))
(*.f64 -1 (log.f64 10))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(pow.f64 (log.f64 1/10) 1)
(pow.f64 (cbrt.f64 (log.f64 1/10)) 3)
(pow.f64 (pow.f64 (log.f64 1/10) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 1/10)) 2)
(neg.f64 (log.f64 10))
(sqrt.f64 (pow.f64 (log.f64 1/10) 2))
(cbrt.f64 (pow.f64 (log.f64 1/10) 3))
(expm1.f64 (log1p.f64 (log.f64 1/10)))
(exp.f64 (log.f64 (log.f64 1/10)))
(exp.f64 (*.f64 (log.f64 (log.f64 1/10)) 1))
(log1p.f64 -9/10)
(+.f64 1 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1))
(+.f64 1 (*.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 1))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 0)
(+.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) -1)
(+.f64 -1 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(+.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 1)
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1)
(-.f64 0 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(-.f64 (/.f64 0 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3) (+.f64 (pow.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))))
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) (/.f64 1 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 1/10)))
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)))
(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 10) -3) 1/3))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(.f64 (cbrt.f64 (atan2.f64 im re)) (.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 im re))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10))))
(.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))) (sqrt.f64 (atan2.f64 im re))))
(.f64 (pow.f64 (atan2.f64 im re) 1/4) (.f64 (pow.f64 (atan2.f64 im re) 1/4) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(.f64 (sqrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))) (.f64 (sqrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))) (sqrt.f64 (atan2.f64 im re))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(.f64 (expm1.f64 (.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (/.f64 1 (log.f64 1/10)) (atan2.f64 im re))
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) -1) (/.f64 1 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2) 1/3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3/2) 1/3))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 1/10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 -1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1))
(.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))))
(.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))) (sqrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))))
(.f64 (.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (sqrt.f64 (atan2.f64 im re))))
(.f64 (.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) (pow.f64 (atan2.f64 im re) 1/4)) (pow.f64 (atan2.f64 im re) 1/4))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)
(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1))
(hypot.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (hypot.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(hypot.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3/2) 1/3) (hypot.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1/3))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(fma.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)) 0)
(fma.f64 (atan2.f64 im re) (/.f64 1 (log.f64 1/10)) 0)
(fma.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)) 0)
(fma.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 10) -3) 1/3) 0)
(fma.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 0)
(fma.f64 1 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) -1)
(fma.f64 1 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 1)
(fma.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1 0)
(fma.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1 -1)
(fma.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) 0)
(fma.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 1/10)) 0)
(fma.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10))) 0)
(fma.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) (sqrt.f64 (atan2.f64 im re)) 0)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)) (cbrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) -1)
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) -1)
(fma.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) 0)
(fma.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2) 1/3) 0)
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(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) -1)
(fma.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) 0)
(fma.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2) 1/3) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 0)
(fma.f64 (cbrt.f64 (atan2.f64 im re)) (*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 im re))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10))) 0)
(fma.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))) (sqrt.f64 (atan2.f64 im re))) 0)
(fma.f64 (pow.f64 (atan2.f64 im re) 1/4) (*.f64 (pow.f64 (atan2.f64 im re) 1/4) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) -1)
(fma.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 0)
(fma.f64 (sqrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))) (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))) (sqrt.f64 (atan2.f64 im re))) 0)
(fma.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 0)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3)) (/.f64 1 (fma.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))) 0)
(fma.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re) 0)
(fma.f64 (/.f64 1 (log.f64 1/10)) (atan2.f64 im re) 0)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) (/.f64 1 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) -1)
(fma.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) -1) (/.f64 1 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)) (cbrt.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1))) (cbrt.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)) (sqrt.f64 (+.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)) 1)
(fma.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 1/10)) 0)
(fma.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2) 1/3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 0)
(fma.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3/2) 1/3) 0)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) 0)
(fma.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 0)
(fma.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))) 0)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))) 0)
(fma.f64 (/.f64 1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) 0)
(fma.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 1/10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 1/10))) 0)
(fma.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))) 0)
(fma.f64 (/.f64 -1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) 0)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1) (-.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) 0)
(fma.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))) 0)
(fma.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))) (sqrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))) 0)
(fma.f64 (*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (sqrt.f64 (atan2.f64 im re))) 0)
(fma.f64 (*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) (pow.f64 (atan2.f64 im re) 1/4)) (pow.f64 (atan2.f64 im re) 1/4) 0)

simplify534.0ms (10.9%)

Algorithm

1×	egg-herbie

Rules

1088×	`fma-neg`
1020×	`associate-/l*`
664×	`associate-/r*`
552×	`log-prod`
512×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	854	40998
1	1876	40246
2	7054	40246

Stop Event

1×	node limit

Counts

1368 → 608

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(fma.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 1/10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 1/10))) 0)
(fma.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))) 0)
(fma.f64 (/.f64 -1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) 0)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1) (-.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) 0)
(fma.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))) 0)
(fma.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))) (sqrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))) 0)
(fma.f64 (*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (sqrt.f64 (atan2.f64 im re))) 0)
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Outputs
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(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
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(fma.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))) 0)
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(fma.f64 (/.f64 -1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) 0)
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1) (-.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1) 1)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) 0)
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(fma.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2)))) (cbrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))) 0)
(.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 2))) (cbrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))))
(fma.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))) (sqrt.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10))) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (sqrt.f64 (atan2.f64 im re))) 0)
(.f64 (cbrt.f64 (atan2.f64 im re)) (.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) (cbrt.f64 (sqrt.f64 (atan2.f64 im re)))))
(*.f64 (cbrt.f64 (sqrt.f64 (atan2.f64 im re))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re)))))
(fma.f64 (*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) (pow.f64 (atan2.f64 im re) 1/4)) (pow.f64 (atan2.f64 im re) 1/4) 0)
(/.f64 (atan2.f64 im re) (log.f64 10))

eval336.0ms (6.8%)

Compiler: Compiled 14081 to 9090 computations (35.4% saved)

prune111.0ms (2.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	787	2	789
Fresh	2	1	3
Picked	3	2	5
Done	0	1	1
Total	792	6	798

Accurracy

100.0%

Counts

798 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.7%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	99.0%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	78.3%	(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
▶	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)))
▶	98.0%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.7%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	99.0%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	78.3%	(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
▶	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)))

Compiler

Compiled 120 to 96 computations (20% saved)

localize165.0ms (3.3%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	99.2%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	98.7%	(/.f64 (log.f64 10) (atan2.f64 im re))
✓	99.2%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	98.7%	(/.f64 (log.f64 1/10) (atan2.f64 im re))
	98.4%	(log.f64 1/10)
✓	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)))
✓	98.4%	(pow.f64 (log.f64 10) -3)
✓	98.4%	(cbrt.f64 (pow.f64 (log.f64 10) -3))

Compiler

Compiled 76 to 47 computations (38.2% saved)

series29.0ms (0.6%)

Counts

7 → 72

Calls

30 calls:

Time	Variable		Point	Expression
21.0ms	re	@	-inf	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
1.0ms	im	@	0	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
0.0ms	im	@	-inf	(/.f64 (log.f64 1/10) (atan2.f64 im re))
0.0ms	im	@	inf	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
0.0ms	im	@	-inf	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)

rewrite179.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`log-prod`
776×	`pow-exp`
612×	`expm1-udef`
604×	`log1p-udef`
536×	`log-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	141
1	395	125
2	4777	107

Stop Event

1×	node limit

Counts

7 → 338

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (log.f64 10) -3))
(pow.f64 (log.f64 10) -3)
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 (log.f64 10) (atan2.f64 im re))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)

Outputs
(+.f64 0 (/.f64 -1 (log.f64 1/10)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10)))) (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (log.f64 1/10)))) 1)
(*.f64 (/.f64 -1 (log.f64 1/10)) 1)
(*.f64 -1 (/.f64 1 (log.f64 1/10)))
(*.f64 1 (/.f64 -1 (log.f64 1/10)))
(*.f64 (cbrt.f64 (/.f64 -1 (log.f64 1/10))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6))) (cbrt.f64 (/.f64 -1 (log.f64 1/10))))
(*.f64 (sqrt.f64 (/.f64 -1 (log.f64 1/10))) (sqrt.f64 (/.f64 -1 (log.f64 1/10))))
(*.f64 (pow.f64 1 1/3) (/.f64 -1 (log.f64 1/10)))
(.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6))) 1/3)) (cbrt.f64 (/.f64 -1 (log.f64 1/10))))
(.f64 (exp.f64 (.f64 (.f64 -3/2 (log.f64 (log.f64 10))) 1/3)) (exp.f64 (.f64 (*.f64 -3/2 (log.f64 (log.f64 10))) 1/3)))
(/.f64 -1 (log.f64 1/10))
(/.f64 1 (log.f64 10))
(/.f64 1 (/.f64 (log.f64 1/10) -1))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (log.f64 1/10)))
(/.f64 (/.f64 -1 (sqrt.f64 (log.f64 1/10))) (sqrt.f64 (log.f64 1/10)))
(pow.f64 (log.f64 10) -1)
(pow.f64 (pow.f64 (log.f64 10) -3) 1/3)
(pow.f64 (/.f64 -1 (log.f64 1/10)) 1)
(pow.f64 (cbrt.f64 (/.f64 -1 (log.f64 1/10))) 3)
(pow.f64 (sqrt.f64 (/.f64 -1 (log.f64 1/10))) 2)
(pow.f64 (/.f64 (log.f64 1/10) -1) -1)
(sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)))
(log.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (log.f64 1/10)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (log.f64 1/10))))
(exp.f64 (neg.f64 (log.f64 (log.f64 10))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 10) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 10))) 1))
(exp.f64 (*.f64 (log.f64 (log.f64 10)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 10)) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 10) -3)) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 10) -3)) 1/3) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (log.f64 10))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log.f64 (log.f64 10)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -1 (log.f64 1/10)))) 2))
(log1p.f64 (expm1.f64 (/.f64 -1 (log.f64 1/10))))
(+.f64 0 (pow.f64 (log.f64 10) -3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 10) -3))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 10) -3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 10) -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 10) -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 10) -3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 10) -3))) 1)
(*.f64 (pow.f64 (log.f64 10) -3) 1)
(*.f64 (/.f64 -1 (log.f64 1/10)) (cbrt.f64 (pow.f64 (log.f64 10) -6)))
(*.f64 1 (pow.f64 (log.f64 10) -3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)) (/.f64 -1 (log.f64 1/10)))
(*.f64 (pow.f64 (log.f64 10) -3/2) (pow.f64 (log.f64 10) -3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) -3) (pow.f64 (cbrt.f64 (log.f64 10)) -3))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 10)) -3) (pow.f64 (sqrt.f64 (log.f64 10)) -3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)) 1) (/.f64 -1 (log.f64 1/10)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)))) (cbrt.f64 (/.f64 -1 (log.f64 1/10))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)) (sqrt.f64 (/.f64 -1 (log.f64 1/10)))) (sqrt.f64 (/.f64 -1 (log.f64 1/10))))
(sqrt.f64 (pow.f64 (log.f64 10) -6))
(log.f64 (exp.f64 (pow.f64 (log.f64 10) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 10) -3))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 10) -3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 10) -3)))
(exp.f64 (log.f64 (pow.f64 (log.f64 10) -3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 10) -3)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 10)) 1) -3))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 10) -3)) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 10))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 10) -3)) 1/3) 3))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (log.f64 10))) 1) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 10) 2)) -3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (pow.f64 (log.f64 10) -3))) 1/3))
(exp.f64 (.f64 (.f64 -3/2 (log.f64 (log.f64 10))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 10)) -3/2) 2))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 10) -3)))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1)
(/.f64 (/.f64 -1 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 10))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 10) -3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) -3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) -1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1/2) 2))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(+.f64 0 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re)))) (cbrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 1)
(*.f64 (log.f64 10) (/.f64 1 (neg.f64 (atan2.f64 im re))))
(*.f64 (log.f64 1/10) (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1)
(*.f64 1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (.f64 (cbrt.f64 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(.f64 (sqrt.f64 (log.f64 1/10)) (.f64 (sqrt.f64 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10))
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(.f64 (.f64 (/.f64 -1 (log.f64 1/10)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)))) (cbrt.f64 (/.f64 -1 (log.f64 1/10))))
(.f64 (.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 -1 (log.f64 1/10)))) (sqrt.f64 (/.f64 -1 (log.f64 1/10))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 -1 (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(/.f64 (/.f64 -1 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 10))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 10) -3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) -3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) -1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1/2) 2))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

simplify228.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

702×	`log-prod`
584×	`associate-/r/`
578×	`exp-prod`
486×	`sqr-pow`
422×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	516	8742
1	1103	8002
2	3422	7780

Stop Event

1×	node limit

Counts

410 → 279

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 0 (/.f64 -1 (log.f64 1/10)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10)))) (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (log.f64 1/10)))) 1)
(*.f64 (/.f64 -1 (log.f64 1/10)) 1)
(*.f64 -1 (/.f64 1 (log.f64 1/10)))
(*.f64 1 (/.f64 -1 (log.f64 1/10)))
(*.f64 (cbrt.f64 (/.f64 -1 (log.f64 1/10))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6))) (cbrt.f64 (/.f64 -1 (log.f64 1/10))))
(*.f64 (sqrt.f64 (/.f64 -1 (log.f64 1/10))) (sqrt.f64 (/.f64 -1 (log.f64 1/10))))
(*.f64 (pow.f64 1 1/3) (/.f64 -1 (log.f64 1/10)))
(.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6))) 1/3)) (cbrt.f64 (/.f64 -1 (log.f64 1/10))))
(.f64 (exp.f64 (.f64 (.f64 -3/2 (log.f64 (log.f64 10))) 1/3)) (exp.f64 (.f64 (*.f64 -3/2 (log.f64 (log.f64 10))) 1/3)))
(/.f64 -1 (log.f64 1/10))
(/.f64 1 (log.f64 10))
(/.f64 1 (/.f64 (log.f64 1/10) -1))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (log.f64 1/10)))
(/.f64 (/.f64 -1 (sqrt.f64 (log.f64 1/10))) (sqrt.f64 (log.f64 1/10)))
(pow.f64 (log.f64 10) -1)
(pow.f64 (pow.f64 (log.f64 10) -3) 1/3)
(pow.f64 (/.f64 -1 (log.f64 1/10)) 1)
(pow.f64 (cbrt.f64 (/.f64 -1 (log.f64 1/10))) 3)
(pow.f64 (sqrt.f64 (/.f64 -1 (log.f64 1/10))) 2)
(pow.f64 (/.f64 (log.f64 1/10) -1) -1)
(sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)))
(log.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 -1 (log.f64 1/10)))))
(expm1.f64 (log1p.f64 (/.f64 -1 (log.f64 1/10))))
(exp.f64 (neg.f64 (log.f64 (log.f64 10))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 10) -3)) 1/3))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 10))) 1))
(exp.f64 (*.f64 (log.f64 (log.f64 10)) -1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 10)) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 10) -3)) 1) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 10) -3)) 1/3) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (log.f64 10))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (neg.f64 (log.f64 (log.f64 10)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 -1 (log.f64 1/10)))) 2))
(log1p.f64 (expm1.f64 (/.f64 -1 (log.f64 1/10))))
(+.f64 0 (pow.f64 (log.f64 10) -3))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 10) -3))) (cbrt.f64 (exp.f64 (pow.f64 (log.f64 10) -3))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 10) -3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 10) -3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 10) -3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 10) -3))) 1)
(*.f64 (pow.f64 (log.f64 10) -3) 1)
(*.f64 (/.f64 -1 (log.f64 1/10)) (cbrt.f64 (pow.f64 (log.f64 10) -6)))
(*.f64 1 (pow.f64 (log.f64 10) -3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)) (/.f64 -1 (log.f64 1/10)))
(*.f64 (pow.f64 (log.f64 10) -3/2) (pow.f64 (log.f64 10) -3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) -3) (pow.f64 (cbrt.f64 (log.f64 10)) -3))
(*.f64 (pow.f64 (sqrt.f64 (log.f64 10)) -3) (pow.f64 (sqrt.f64 (log.f64 10)) -3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)) 1) (/.f64 -1 (log.f64 1/10)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)))) (cbrt.f64 (/.f64 -1 (log.f64 1/10))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)) (sqrt.f64 (/.f64 -1 (log.f64 1/10)))) (sqrt.f64 (/.f64 -1 (log.f64 1/10))))
(sqrt.f64 (pow.f64 (log.f64 10) -6))
(log.f64 (exp.f64 (pow.f64 (log.f64 10) -3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 10) -3))))
(cbrt.f64 (pow.f64 (pow.f64 (log.f64 10) -3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 10) -3)))
(exp.f64 (log.f64 (pow.f64 (log.f64 10) -3)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 10) -3)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 10)) 1) -3))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 10) -3)) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (log.f64 10))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (log.f64 10) -3)) 1/3) 3))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (log.f64 10))) 1) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 10) 2)) -3/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (pow.f64 (log.f64 10) -3))) 1/3))
(exp.f64 (.f64 (.f64 -3/2 (log.f64 (log.f64 10))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 10)) -3/2) 2))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 10) -3)))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1)
(/.f64 (/.f64 -1 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 10))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
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(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 10) -3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) -3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
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(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3))
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(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6))) (.f64 (cbrt.f64 (/.f64 -1 (log.f64 1/10))) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 1/10))))
(.f64 (sqrt.f64 (/.f64 -1 (log.f64 1/10))) (.f64 (sqrt.f64 (/.f64 -1 (log.f64 1/10))) (atan2.f64 im re)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 1 (log.f64 1/10)) (neg.f64 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 -1 (log.f64 1/10)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (atan2.f64 im re) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6)))) (cbrt.f64 (/.f64 -1 (log.f64 1/10))))
(.f64 (.f64 (atan2.f64 im re) (sqrt.f64 (/.f64 -1 (log.f64 1/10)))) (sqrt.f64 (/.f64 -1 (log.f64 1/10))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 -1 (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(/.f64 (/.f64 -1 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 10))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 10) -3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) -3)))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) -1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1/2) 2))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(+.f64 0 (/.f64 -1 (log.f64 1/10)))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10)))) (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))))
(*.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -1 (log.f64 1/10))))) 2)
(-.f64 (exp.f64 (log1p.f64 (/.f64 -1 (log.f64 1/10)))) 1)
(/.f64 -1 (log.f64 1/10))
(*.f64 (/.f64 -1 (log.f64 1/10)) 1)
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(*.f64 -1 (/.f64 1 (log.f64 1/10)))
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(*.f64 1 (/.f64 -1 (log.f64 1/10)))
(/.f64 -1 (log.f64 1/10))
(*.f64 (cbrt.f64 (/.f64 -1 (log.f64 1/10))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6))) (cbrt.f64 (/.f64 -1 (log.f64 1/10))))
(*.f64 (cbrt.f64 (/.f64 -1 (log.f64 1/10))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6))))
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(.f64 (exp.f64 (.f64 (log.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6))) 1/3)) (cbrt.f64 (/.f64 -1 (log.f64 1/10))))
(*.f64 (cbrt.f64 (/.f64 -1 (log.f64 1/10))) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 10) -6))))
(.f64 (exp.f64 (.f64 (.f64 -3/2 (log.f64 (log.f64 10))) 1/3)) (exp.f64 (.f64 (*.f64 -3/2 (log.f64 (log.f64 10))) 1/3)))
(exp.f64 (+.f64 (.f64 1/3 (.f64 -3/2 (log.f64 (log.f64 10)))) (.f64 1/3 (.f64 -3/2 (log.f64 (log.f64 10))))))
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(pow.f64 (log.f64 10) -1)
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(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2))
(/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2))
(*.f64 (/.f64 -1 (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 -1 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(/.f64 (/.f64 -1 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(/.f64 (atan2.f64 im re) (log.f64 10))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 10) -3) (pow.f64 (atan2.f64 im re) 3)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) -3)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 1) -1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) -1/2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1/3))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1/2) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))

eval100.0ms (2%)

Compiler: Compiled 4041 to 2899 computations (28.3% saved)

prune92.0ms (1.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	301	3	304
Fresh	0	0	0
Picked	1	2	3
Done	1	2	3
Total	303	7	310

Accurracy

100.0%

Counts

310 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.7%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	98.0%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
✓	99.0%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
▶	99.0%	(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
▶	98.0%	(/.f64 -1 (*.f64 (log.f64 10) (/.f64 1 (neg.f64 (atan2.f64 im re)))))
✓	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.7%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	98.0%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
✓	99.0%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
▶	99.0%	(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
▶	98.0%	(/.f64 -1 (*.f64 (log.f64 10) (/.f64 1 (neg.f64 (atan2.f64 im re)))))
✓	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)))

Compiler

Compiled 146 to 118 computations (19.2% saved)

localize159.0ms (3.2%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
✓	99.2%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
	98.7%	(/.f64 (log.f64 10) (atan2.f64 im re))
✓	99.9%	(/.f64 1 (atan2.f64 im re))
✓	99.2%	(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
✓	98.7%	(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10))
	98.4%	(log.f64 1/10)
✓	99.9%	(/.f64 1 (neg.f64 (atan2.f64 im re)))
✓	99.2%	(/.f64 -1 (*.f64 (log.f64 10) (/.f64 1 (neg.f64 (atan2.f64 im re)))))
✓	98.7%	(*.f64 (log.f64 10) (/.f64 1 (neg.f64 (atan2.f64 im re))))

Compiler

Compiled 99 to 55 computations (44.4% saved)

series8.0ms (0.2%)

Counts

7 → 144

Calls

42 calls:

Time	Variable		Point	Expression
0.0ms	re	@	-inf	(/.f64 1 (atan2.f64 im re))
0.0ms	re	@	inf	(/.f64 1 (atan2.f64 im re))
0.0ms	re	@	inf	(/.f64 1 (neg.f64 (atan2.f64 im re)))
0.0ms	im	@	-inf	(/.f64 1 (neg.f64 (atan2.f64 im re)))
0.0ms	im	@	inf	(/.f64 1 (neg.f64 (atan2.f64 im re)))

rewrite147.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`log-prod`
502×	`expm1-udef`
494×	`log1p-udef`
422×	`add-sqr-sqrt`
410×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	157
1	438	111
2	5813	111

Stop Event

1×	node limit

Counts

7 → 309

Calls

Call 1

Inputs
(*.f64 (log.f64 10) (/.f64 1 (neg.f64 (atan2.f64 im re))))
(/.f64 -1 (*.f64 (log.f64 10) (/.f64 1 (neg.f64 (atan2.f64 im re)))))
(/.f64 1 (neg.f64 (atan2.f64 im re)))
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
(/.f64 1 (atan2.f64 im re))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))

Outputs
(+.f64 0 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))) (cbrt.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))))
(-.f64 0 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)))) 1)
(/.f64 (log1p.f64 9) (atan2.f64 im re))
(/.f64 1 (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(/.f64 1 (/.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1))
(/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))
(/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log1p.f64 9)))
(/.f64 -1 (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) 1)
(/.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -1)
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 9)) 2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(/.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(/.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) (/.f64 -1 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)))))
(/.f64 (sqrt.f64 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(/.f64 (sqrt.f64 (log1p.f64 9)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))))
(/.f64 (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (/.f64 (log1p.f64 9) 1) (atan2.f64 im re))
(/.f64 (/.f64 (log1p.f64 9) -1) (atan2.f64 im re))
(/.f64 (/.f64 (log1p.f64 9) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(/.f64 (/.f64 (log1p.f64 9) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (*.f64 (log1p.f64 9) -1) (atan2.f64 im re))
(/.f64 (*.f64 (log.f64 1/10) -1) (atan2.f64 im re))
(/.f64 (*.f64 -1 (log.f64 1/10)) (atan2.f64 im re))
(/.f64 (/.f64 (log.f64 1/10) 1) (atan2.f64 im re))
(/.f64 (/.f64 (log.f64 1/10) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(/.f64 (/.f64 (log.f64 1/10) -1) (atan2.f64 im re))
(pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) 1)
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -1)
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2)
(neg.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)))))
(log.f64 (/.f64 1 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))))
(log.f64 (/.f64 1 (/.f64 1 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))))
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) 3))
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 9) 3) (pow.f64 (/.f64 1 (atan2.f64 im re)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3) (pow.f64 (log.f64 1/10) 3)))
(cbrt.f64 (*.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (/.f64 1 (atan2.f64 im re)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3) (pow.f64 (log1p.f64 9) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log1p.f64 9) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 1))
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 1/10)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log1p.f64 9)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(*.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1)
(*.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -1)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(*.f64 (/.f64 1 (log.f64 1/10)) (atan2.f64 im re))
(*.f64 (/.f64 1 (log1p.f64 9)) (atan2.f64 im re))
(*.f64 (/.f64 1 (log1p.f64 9)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (/.f64 1 (sqrt.f64 (log1p.f64 9))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))))
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(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 1/10)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log1p.f64 9)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(*.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1)
(*.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -1)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(*.f64 (/.f64 1 (log.f64 1/10)) (atan2.f64 im re))
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(*.f64 (/.f64 1 (log1p.f64 9)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log1p.f64 9))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log1p.f64 9))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log1p.f64 9)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log1p.f64 9))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log1p.f64 9))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log1p.f64 9))))
(.f64 (.f64 (/.f64 1 (log1p.f64 9)) 1) (atan2.f64 im re))
(.f64 (.f64 (/.f64 1 (log1p.f64 9)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
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(*.f64 (/.f64 (/.f64 1 (log.f64 1/10)) 1) (atan2.f64 im re))
(*.f64 (/.f64 (/.f64 1 (log.f64 1/10)) -1) (atan2.f64 im re))
(pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -1)
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log1p.f64 9) 3)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))

simplify208.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1132×	`associate-/r*`
1046×	`fma-def`
696×	`associate-/r/`
654×	`distribute-lft-in`
636×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	9101
1	590	8851
2	2026	8493

Stop Event

1×	node limit

Counts

453 → 164

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
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(*.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
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Outputs
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(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
(pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -1)
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1)
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 3)
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3) 1/3)
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2)
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(neg.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log1p.f64 9))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -2))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log1p.f64 9))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log1p.f64 9))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log1p.f64 9) 3)))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) -1))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))

eval77.0ms (1.6%)

Compiler: Compiled 3226 to 2259 computations (30% saved)

prune44.0ms (0.9%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	248	1	249
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	249	7	256

Accurracy

100.0%

Counts

256 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.7%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	98.0%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
	98.0%	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10)))
✓	99.0%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	99.0%	(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
✓	98.8%	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)))

Compiler

Compiled 217 to 154 computations (29% saved)

regimes27.0ms (0.6%)

Counts

15 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10)))
(/.f64 -1 (*.f64 (log.f64 10) (/.f64 1 (neg.f64 (atan2.f64 im re)))))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) -3)))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))

Outputs
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))

Calls

4 calls:

8.0ms	re
7.0ms	im
5.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
4.0ms	(atan2.f64 im re)

Results

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

Compiler

Compiled 164 to 109 computations (33.5% saved)

regimes10.0ms (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 10))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))

Calls

4 calls:

3.0ms	re
2.0ms	im
2.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
2.0ms	(atan2.f64 im re)

Results

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`sub-neg`
4×	`neg-mul-1`
4×	`+-commutative`
4×	`*-commutative`
4×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	19	38
2	23	38
3	26	38
4	27	38

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (log.f64 10))

Outputs
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 17 to 13 computations (23.5% saved)

soundness213.0ms (4.3%)

Rules

1712×	`pow1`
1578×	`add-exp-log`
1578×	`log1p-expm1-u`
1578×	`expm1-log1p-u`
1540×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	178	17
2	2135	17
0	86	929
1	198	749
2	637	581
3	4195	581

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 73 to 46 computations (37% saved)

end41.0ms (0.8%)

Compiler: Compiled 46 to 32 computations (30.4% saved)

analyze0.0ms (0%)

sample1.1s (22.2%)

preprocess21.0ms (0.4%)

simplify11.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize41.0ms (0.8%)

series30.0ms (0.6%)

rewrite85.0ms (1.7%)

simplify50.0ms (1%)

eval8.0ms (0.2%)

prune78.0ms (1.6%)

localize433.0ms (8.8%)

series52.0ms (1.1%)

rewrite304.0ms (6.2%)

simplify534.0ms (10.9%)

eval336.0ms (6.8%)

prune111.0ms (2.2%)

localize165.0ms (3.3%)

series29.0ms (0.6%)

rewrite179.0ms (3.6%)

simplify228.0ms (4.6%)

eval100.0ms (2%)

prune92.0ms (1.9%)

localize159.0ms (3.2%)

series8.0ms (0.2%)

rewrite147.0ms (3%)

simplify208.0ms (4.2%)

eval77.0ms (1.6%)

prune44.0ms (0.9%)

regimes27.0ms (0.6%)

regimes10.0ms (0.2%)

simplify5.0ms (0.1%)

soundness213.0ms (4.3%)

end41.0ms (0.8%)

Profiling