Metrics for math.log10 on complex, imaginary part

analyze1.0ms (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)

sample949.0ms (21.3%)

Results

938.0ms

8256×

body

256

valid

Bogosity

preprocess13.0ms (0.3%)

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)

localize53.0ms (1.2%)

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)

series31.0ms (0.7%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
8.0ms	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	re	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite53.0ms (1.2%)

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))))

simplify54.0ms (1.2%)

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)

prune41.0ms (0.9%)

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
	98.7%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶	54.7%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	81.4%	(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
▶	54.0%	(*.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))))
▶	98.8%	(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
	86.4%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
	98.7%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶	54.7%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	81.4%	(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
▶	54.0%	(*.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))))
▶	98.8%	(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
	86.4%	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))

Compiler

Compiled 392 to 308 computations (21.4% saved)

localize258.0ms (5.8%)

Local Accuracy

Found 14 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(*.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))
✓	96.1%	(sqrt.f64 (atan2.f64 im re))
✓	99.7%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
	99.3%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	96.7%	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
✓	99.8%	(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
✓	99.4%	(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
	99.3%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.4%	(-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
	99.3%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	91.8%	(+.f64 1 (-.f64 (/.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 155 to 78 computations (49.7% saved)

series34.0ms (0.8%)

Counts

11 → 168

Calls

60 calls:

Time	Variable		Point	Expression
15.0ms	im	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
7.0ms	re	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
1.0ms	re	@	inf	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
1.0ms	im	@	inf	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
1.0ms	re	@	-inf	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))

rewrite192.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1720×	`log-prod`
1220×	`fma-def`
630×	`expm1-udef`
622×	`log1p-udef`
444×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	207
1	519	187
2	6088	187

Stop Event

1×	node limit

Counts

11 → 1014

Calls

Call 1

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

simplify414.0ms (9.3%)

Algorithm

1×	egg-herbie

Rules

1446×	`fma-neg`
986×	`times-frac`
946×	`associate-r`
934×	`associate-l`
720×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	736	34206
1	1501	32832
2	7439	32832

Stop Event

1×	node limit

Counts

1182 → 529

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))
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(fma.f64 (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 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)

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

eval292.0ms (6.5%)

Compiler: Compiled 14807 to 9516 computations (35.7% saved)

prune162.0ms (3.6%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	893	2	895
Fresh	2	1	3
Picked	2	3	5
Done	0	1	1
Total	897	7	904

Accurracy

100.0%

Counts

904 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	54.7%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	54.0%	(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	99.8%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	81.4%	(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
▶	98.7%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	54.7%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	54.0%	(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	99.8%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	81.4%	(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))

Compiler

Compiled 148 to 112 computations (24.3% saved)

localize102.0ms (2.3%)

Local Accuracy

Found 8 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	99.3%	(/.f64 (log.f64 10) (atan2.f64 im re))
✓	99.9%	(/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re)))
✓	99.7%	(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
	96.1%	(sqrt.f64 (atan2.f64 im re))
✓	99.9%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	99.3%	(/.f64 (log.f64 1/10) (atan2.f64 im re))
	99.2%	(log.f64 1/10)

Compiler

Compiled 80 to 39 computations (51.3% saved)

series42.0ms (0.9%)

Counts

6 → 96

Calls

36 calls:

Time	Variable		Point	Expression
29.0ms	im	@	0	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
1.0ms	re	@	inf	(/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re)))
1.0ms	im	@	-inf	(/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re)))
1.0ms	im	@	inf	(/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re)))
1.0ms	im	@	0	(/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re)))

rewrite109.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1646×	`log-prod`
566×	`expm1-udef`
556×	`log1p-udef`
494×	`log-pow`
430×	`log-div`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	124
1	383	106
2	4995	106

Stop Event

1×	node limit

Counts

6 → 347

Calls

Call 1

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

simplify141.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1866×	`fma-def`
778×	`log-prod`
436×	`cube-prod`
418×	`associate-/l*`
418×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	479	11491
1	1086	11129
2	3964	10963

Stop Event

1×	node limit

Counts

443 → 293

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

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

eval407.0ms (9.1%)

Compiler: Compiled 6201 to 3425 computations (44.8% saved)

prune62.0ms (1.4%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	401	1	402
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	402	7	409

Accurracy

100.0%

Counts

409 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.7%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	54.0%	(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	98.7%	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
✓	99.8%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	81.4%	(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
✓	54.7%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	54.0%	(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	98.7%	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
✓	99.8%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	81.4%	(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))

Compiler

Compiled 148 to 112 computations (24.3% saved)

localize54.0ms (1.2%)

Local Accuracy

Found 2 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
✓	98.7%	(/.f64 (log1p.f64 9) (atan2.f64 im re))

Compiler

Compiled 26 to 16 computations (38.5% saved)

series15.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	im	@	0	(/.f64 (log1p.f64 9) (atan2.f64 im re))
6.0ms	re	@	0	(/.f64 (log1p.f64 9) (atan2.f64 im re))
0.0ms	im	@	inf	(/.f64 (log1p.f64 9) (atan2.f64 im re))
0.0ms	re	@	inf	(/.f64 (log1p.f64 9) (atan2.f64 im re))
0.0ms	im	@	-inf	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))

rewrite101.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

986×	`cbrt-prod`
972×	`log-prod`
782×	`exp-prod`
574×	`prod-exp`
528×	`pow-prod-down`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	224	34
2	2635	34

Stop Event

1×	node limit

Counts

2 → 108

Calls

Call 1

Inputs
(/.f64 (log1p.f64 9) (atan2.f64 im re))
(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))

Outputs
(+.f64 0 (/.f64 (log.f64 10) (atan2.f64 im re)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))) 2)) (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 (+.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re))) 1)
(*.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1)
(*.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (.f64 (cbrt.f64 (log.f64 10)) (/.f64 1 (atan2.f64 im re))))
(*.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(.f64 (sqrt.f64 (log.f64 10)) (.f64 (sqrt.f64 (log.f64 10)) (/.f64 1 (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (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 (pow.f64 (atan2.f64 im re) -1/2) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) 1) (/.f64 (cbrt.f64 (log.f64 10)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 10)) 1) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) (log.f64 10))) (cbrt.f64 (/.f64 1 (atan2.f64 im re))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) 1)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) -3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3) -1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) -2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (atan2.f64 im re) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(neg.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2)) (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 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2)) (cbrt.f64 (/.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 1 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.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)) (/.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)) 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))))
(*.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 (/.f64 1 (log.f64 10)) 1) (atan2.f64 im re))
(.f64 (.f64 (/.f64 1 (log.f64 10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (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 1/10)) (neg.f64 (atan2.f64 im re)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2) 1)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2) (/.f64 1 (log.f64 10)))) (cbrt.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3) -1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -2)
(pow.f64 (exp.f64 -1) (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2)) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 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))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -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 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3))
(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))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

simplify134.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1058×	`associate-*r/`
876×	`associate-*l/`
862×	`fma-def`
748×	`associate-/l*`
730×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	3870
1	605	3756
2	1678	3728
3	7741	3728

Stop Event

1×	node limit

Counts

156 → 135

Calls

Call 1

Inputs
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (atan2.f64 im re))
(/.f64 (log.f64 10) (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))
(/.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 (log.f64 10) (atan2.f64 im re)))
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(+.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 (+.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re))) 1)
(*.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1)
(*.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
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(*.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(.f64 (sqrt.f64 (log.f64 10)) (.f64 (sqrt.f64 (log.f64 10)) (/.f64 1 (atan2.f64 im re))))
(*.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (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 (pow.f64 (atan2.f64 im re) -1/2) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 10)) 1) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) (log.f64 10))) (cbrt.f64 (/.f64 1 (atan2.f64 im re))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) 1)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) -3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3) -1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) -2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)
(pow.f64 (/.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (atan2.f64 im re) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 2)) (cbrt.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))) (sqrt.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(neg.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 2))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2)) (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 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2)) (cbrt.f64 (/.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 1 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.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)) (/.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)) 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))))
(*.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 (/.f64 1 (log.f64 10)) 1) (atan2.f64 im re))
(.f64 (.f64 (/.f64 1 (log.f64 10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (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 1/10)) (neg.f64 (atan2.f64 im re)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2) 1)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2) (/.f64 1 (log.f64 10)))) (cbrt.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(pow.f64 (E.f64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3) -1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -2)
(pow.f64 (exp.f64 -1) (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2)) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 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))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -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 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3))
(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))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

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

eval58.0ms (1.3%)

Compiler: Compiled 1919 to 1312 computations (31.6% saved)

prune22.0ms (0.5%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	135	7	142

Accurracy

100.0%

Counts

142 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	54.7%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	54.0%	(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	98.7%	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
✓	99.8%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	81.4%	(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))

Compiler

Compiled 188 to 126 computations (33% saved)

regimes26.0ms (0.6%)

Counts

12 → 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 (log1p.f64 9) (atan2.f64 im re)))
(+.f64 1 (-.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
(*.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 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))

Calls

4 calls:

8.0ms	im
7.0ms	re
3.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
3.0ms	(atan2.f64 im re)

Results

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

Compiler

Compiled 133 to 83 computations (37.6% saved)

regimes12.0ms (0.3%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	re
3.0ms	im
2.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
2.0ms	(atan2.f64 im re)

Results

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

Compiler

Compiled 34 to 23 computations (32.4% 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	`im`
98.7%	1	`re`
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	16	61
1	21	61
2	25	61
3	28	61
4	29	61

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 27 to 21 computations (22.2% saved)

soundness569.0ms (12.7%)

Rules

1720×	`log-prod`
1712×	`pow1`
1712×	`pow1`
1578×	`add-exp-log`
1578×	`log1p-expm1-u`

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
0	25	207
1	519	187
2	6088	187
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
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 259 to 173 computations (33.2% saved)

end33.0ms (0.7%)

Compiler: Compiled 62 to 42 computations (32.3% saved)

analyze1.0ms (0%)

sample949.0ms (21.3%)

preprocess13.0ms (0.3%)

simplify11.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize53.0ms (1.2%)

series31.0ms (0.7%)

rewrite53.0ms (1.2%)

simplify54.0ms (1.2%)

eval8.0ms (0.2%)

prune41.0ms (0.9%)

localize258.0ms (5.8%)

series34.0ms (0.8%)

rewrite192.0ms (4.3%)

simplify414.0ms (9.3%)

eval292.0ms (6.5%)

prune162.0ms (3.6%)

localize102.0ms (2.3%)

series42.0ms (0.9%)

rewrite109.0ms (2.4%)

simplify141.0ms (3.2%)

eval407.0ms (9.1%)

prune62.0ms (1.4%)

localize54.0ms (1.2%)

series15.0ms (0.3%)

rewrite101.0ms (2.3%)

simplify134.0ms (3%)

eval58.0ms (1.3%)

prune22.0ms (0.5%)

regimes26.0ms (0.6%)

regimes12.0ms (0.3%)

regimes10.0ms (0.2%)

simplify5.0ms (0.1%)

soundness569.0ms (12.7%)

end33.0ms (0.7%)

Profiling