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)

sample877.0ms (20.4%)

Results

864.0ms

8256×

body

256

valid

Bogosity

preprocess15.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

12×	`sub-neg`
8×	`fma-def`
8×	`+-commutative`
4×	`*-commutative`
4×	`associate--r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	76
1	23	76
2	27	76
3	30	76
4	39	76
5	46	76
6	53	76

Stop Event

1×

saturated

Calls

Call 1

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify5.0ms (0.1%)

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))

eval1.0ms (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)

localize34.0ms (0.8%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

series46.0ms (1.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
37.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
8.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	re	@	inf	(/.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))

rewrite56.0ms (1.3%)

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 (1.3%)

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))

eval9.0ms (0.2%)

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

prune14.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	6	37

Accurracy

100.0%

Counts

37 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.2%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶	53.5%	(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))
▶	78.7%	(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
▶	98.7%	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
▶	98.2%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶	53.5%	(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))
▶	78.7%	(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
▶	98.7%	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 244 to 200 computations (18% saved)

localize363.0ms (8.4%)

Local Accuracy

Found 12 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
✓	99.4%	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
✓	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))
✓	97.3%	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
✓	99.8%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	99.3%	(/.f64 (log.f64 10) (atan2.f64 im re))
✓	100.0%	(+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
	99.3%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	89.4%	(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
✓	99.3%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	99.2%	(log.f64 1/10)

Compiler

Compiled 146 to 85 computations (41.8% saved)

series42.0ms (1%)

Counts

10 → 144

Calls

54 calls:

Time	Variable		Point	Expression
17.0ms	im	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
5.0ms	re	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
5.0ms	re	@	-inf	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
1.0ms	im	@	0	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
1.0ms	re	@	-inf	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))

rewrite320.0ms (7.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1704×	`fma-def`
678×	`expm1-udef`
670×	`log1p-udef`
484×	`add-sqr-sqrt`
466×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	192
1	562	172
2	6786	172

Stop Event

1×	node limit

Counts

10 → 1177

Calls

Call 1

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

simplify505.0ms (11.7%)

Algorithm

1×	egg-herbie

Rules

1438×	`fma-neg`
904×	`log-prod`
716×	`associate-r`
646×	`associate-l`
592×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	782	45837
1	1700	43637
2	6420	43637

Stop Event

1×	node limit

Counts

1321 → 589

Calls

Call 1

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

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

eval265.0ms (6.2%)

Compiler: Compiled 12546 to 9012 computations (28.2% saved)

prune105.0ms (2.4%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	730	3	733
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	732	7	739

Accurracy

100.0%

Counts

739 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.3%	(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
✓	98.2%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	53.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
▶	98.3%	(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	99.3%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
▶	50.3%	(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
✓	98.2%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	53.5%	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
▶	98.3%	(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	99.3%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))

Compiler

Compiled 148 to 120 computations (18.9% saved)

localize161.0ms (3.7%)

Local Accuracy

Found 9 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2)
✓	98.7%	(/.f64 (log.f64 1/10) (atan2.f64 im re))
	98.4%	(log.f64 1/10)
✓	91.5%	(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
✓	99.5%	(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
✓	98.7%	(/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re))
✓	99.5%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	98.7%	(/.f64 (log.f64 1/10) (atan2.f64 im re))
	98.4%	(log.f64 1/10)

Compiler

Compiled 95 to 60 computations (36.8% saved)

series121.0ms (2.8%)

Counts

7 → 120

Calls

42 calls:

Time	Variable		Point	Expression
32.0ms	im	@	inf	(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
21.0ms	re	@	inf	(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
18.0ms	re	@	-inf	(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
17.0ms	im	@	-inf	(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
16.0ms	im	@	0	(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)

rewrite114.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`log-prod`
680×	`expm1-udef`
666×	`log1p-udef`
428×	`add-sqr-sqrt`
412×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	161
1	448	135
2	5483	135

Stop Event

1×	node limit

Counts

7 → 338

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 (log.f64 10)) (atan2.f64 im re))
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2)

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 0 (/.f64 (log1p.f64 -9/10) (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 (log1p.f64 -9/10) (neg.f64 (/.f64 1 (atan2.f64 im re))))
(*.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)) -1)
(*.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)) 1)
(*.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
(*.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re)))
(*.f64 (log.f64 10) (/.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))) (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)) 2)) (neg.f64 (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 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))) (neg.f64 (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 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)) 4))) (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)) 2))))
(*.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 1 (sqrt.f64 (atan2.f64 im re))) (/.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 (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 (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))))
(*.f64 (neg.f64 (cbrt.f64 (pow.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 (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))) (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))))
(pow.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)) 1)
(pow.f64 (pow.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)) 2) 1/2)
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 -9/10)) -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)
(neg.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)) 2))
(fabs.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
(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 1/10 (/.f64 1 (atan2.f64 im re)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))))))
(log.f64 (/.f64 1 (/.f64 1 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))))
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simplify204.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1156×	`log-prod`
794×	`exp-prod`
792×	`cube-prod`
580×	`associate-r`
554×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	519	11778
1	1156	11486
2	4652	11426

Stop Event

1×	node limit

Counts

458 → 292

Calls

Call 1

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

eval154.0ms (3.6%)

Compiler: Compiled 6679 to 4814 computations (27.9% saved)

prune75.0ms (1.7%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	453	2	455
Fresh	0	0	0
Picked	1	2	3
Done	1	3	4
Total	455	7	462

Accurracy

100.0%

Counts

462 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.3%	(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
✓	53.5%	(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))
▶	47.5%	(/.f64 -1 (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))) 2))
▶	98.2%	(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
✓	99.3%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	50.3%	(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
✓	53.5%	(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))
▶	47.5%	(/.f64 -1 (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))) 2))
▶	98.2%	(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
✓	99.3%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))

Compiler

Compiled 146 to 118 computations (19.2% saved)

localize110.0ms (2.6%)

Local Accuracy

Found 6 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 -1 (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))) 2))
✓	99.5%	(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))) 2)
✓	99.4%	(/.f64 (log1p.f64 -9/10) (atan2.f64 im re))
✓	96.7%	(sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
✓	99.7%	(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
✓	99.4%	(/.f64 (log1p.f64 -9/10) (atan2.f64 im re))

Compiler

Compiled 69 to 42 computations (39.1% saved)

series60.0ms (1.4%)

Counts

6 → 144

Calls

36 calls:

Time	Variable		Expression
41.0ms	im	@	(/.f64 (log1p.f64 -9/10) (atan2.f64 im re))
6.0ms	re	@	(/.f64 (log1p.f64 -9/10) (atan2.f64 im re))
4.0ms	im	@	(sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
1.0ms	im	@	(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))) 2)
0.0ms	im	@	(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))

rewrite131.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1138×	`log-prod`
622×	`pow-prod-down`
566×	`pow-prod-up`
528×	`pow-exp`
450×	`expm1-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	118
1	315	114
2	3174	114

Stop Event

1×	node limit

Counts

6 → 275

Calls

Call 1

Inputs
(/.f64 (log1p.f64 -9/10) (atan2.f64 im re))
(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
(sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
(/.f64 (log1p.f64 -9/10) (atan2.f64 im re))
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))) 2)
(/.f64 -1 (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))) 2))

Outputs
(+.f64 0 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re)))) 2)) (log.f64 (cbrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 1)
(*.f64 (log.f64 1/10) (/.f64 1 (atan2.f64 im re)))
(*.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1)
(*.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (.f64 (cbrt.f64 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re))))
(*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1/4) (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3/4))
(.f64 (sqrt.f64 (log.f64 1/10)) (.f64 (sqrt.f64 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re))))
(*.f64 (log.f64 10) (/.f64 1 (neg.f64 (atan2.f64 im re))))
(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10))
(*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3/4) (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) -2) (/.f64 (log.f64 1/10) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (atan2.f64 im re) -1/2) (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) 1) (/.f64 (cbrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 1/10)) (sqrt.f64 (atan2.f64 im re))))
(*.f64 (/.f64 (sqrt.f64 (log.f64 1/10)) 1) (/.f64 (sqrt.f64 (log.f64 1/10)) (atan2.f64 im re)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 1/10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (sqrt.f64 (log.f64 1/10)) (cbrt.f64 (atan2.f64 im re))))
(*.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 5/6) (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1/6))
(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1)
(pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1/6) 6)
(pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -3/2) 2/3)
(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 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1/4) 4)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)
(pow.f64 (/.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (atan2.f64 im re) 3)) 1/3)
(pow.f64 (/.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1) -1)
(neg.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -2))
(log.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -3))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(exp.f64 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 1/2) 2))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 1) 2))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 3))
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) -1))
(log1p.f64 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))
(+.f64 0 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))) 1)
(*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 1)
(*.f64 1 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))
(*.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))
(*.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1/2) (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1/2))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)
(*.f64 (/.f64 -1 (log.f64 1/10)) (atan2.f64 im re))
(.f64 (.f64 (/.f64 -1 (log.f64 1/10)) 1) (atan2.f64 im re))
(.f64 (.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (/.f64 -1 (log.f64 1/10)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 -1 (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) 3)
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(*.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2)) (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))
(*.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1/2) (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1/2))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)
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(.f64 (.f64 (/.f64 -1 (log.f64 1/10)) 1) (atan2.f64 im re))
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(.f64 (.f64 (/.f64 -1 (log.f64 1/10)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (/.f64 -1 (log.f64 10)) (neg.f64 (atan2.f64 im re)))
(pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (neg.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 (log.f64 10) (atan2.f64 im re)) -3) 1/3)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1/2) 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 1/10)) 2))
(log.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3))
(expm1.f64 (log1p.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))
(exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1/2)) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -1))
(log1p.f64 (expm1.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))

simplify127.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1632×	`times-frac`
824×	`fma-def`
798×	`associate-*r/`
778×	`associate-/l*`
672×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	312	9291
1	644	8983
2	1727	8807

Stop Event

1×	node limit

Counts

419 → 165

Calls

Call 1

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

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

eval68.0ms (1.6%)

Compiler: Compiled 3168 to 2289 computations (27.7% saved)

prune35.0ms (0.8%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	222	1	223
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	223	7	230

Accurracy

100.0%

Counts

230 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.3%	(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
✓	53.5%	(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))
✓	98.2%	(/.f64 -1 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re)))
✓	99.3%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
	99.4%	(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))

Compiler

Compiled 186 to 137 computations (26.3% saved)

regimes25.0ms (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 -9/10) (atan2.f64 im re)))
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(/.f64 -1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10)))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2) -1/2)
(/.f64 -1 (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))) 2))
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

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

Calls

4 calls:

7.0ms	im
6.0ms	re
3.0ms	(atan2.f64 im re)
3.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))

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 92 computations (30.8% saved)

regimes9.0ms (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:

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

Results

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

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

soundness163.0ms (3.8%)

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 73 to 46 computations (37% saved)

end0.0ms (0%)

preprocess27.0ms (0.6%)

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

analyze1.0ms (0%)

sample877.0ms (20.4%)

preprocess15.0ms (0.3%)

simplify5.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize34.0ms (0.8%)

series46.0ms (1.1%)

rewrite56.0ms (1.3%)

simplify54.0ms (1.3%)

eval9.0ms (0.2%)

prune14.0ms (0.3%)

localize363.0ms (8.4%)

series42.0ms (1%)

rewrite320.0ms (7.4%)

simplify505.0ms (11.7%)

eval265.0ms (6.2%)

prune105.0ms (2.4%)

localize161.0ms (3.7%)

series121.0ms (2.8%)

rewrite114.0ms (2.6%)

simplify204.0ms (4.8%)

eval154.0ms (3.6%)

prune75.0ms (1.7%)

localize110.0ms (2.6%)

series60.0ms (1.4%)

rewrite131.0ms (3%)

simplify127.0ms (3%)

eval68.0ms (1.6%)

prune35.0ms (0.8%)

regimes25.0ms (0.6%)

regimes9.0ms (0.2%)

simplify5.0ms (0.1%)

soundness163.0ms (3.8%)

end0.0ms (0%)

preprocess27.0ms (0.6%)

Profiling