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)

sample1.1s (36.4%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess20.0ms (0.7%)

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)

simplify3.0ms (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))

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Accurracy

98.7%

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 12 computations (25% saved)

localize43.0ms (1.5%)

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)

series53.0ms (1.8%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
43.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
9.0ms	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	im	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite56.0ms (1.9%)

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))))

simplify58.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

31 → 36

Calls

Call 1

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

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

eval10.0ms (0.3%)

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

prune8.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	3	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Accurracy

100.0%

Counts

37 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.7%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	98.7%	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
▶	98.7%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.7%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	98.7%	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 84 to 68 computations (19% saved)

localize144.0ms (4.9%)

Local Accuracy

Found 6 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	98.7%	(/.f64 (log.f64 10) (atan2.f64 im re))
✓	98.7%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	98.4%	(log.f64 1/10)
✓	99.9%	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
✓	98.8%	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 82 to 49 computations (40.2% saved)

series37.0ms (1.3%)

Counts

6 → 96

Calls

30 calls:

Time	Variable		Point	Expression
18.0ms	im	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
9.0ms	re	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
1.0ms	im	@	0	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
1.0ms	im	@	inf	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
1.0ms	re	@	inf	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))

rewrite116.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1582×	`log-prod`
564×	`expm1-udef`
556×	`log1p-udef`
394×	`add-sqr-sqrt`
378×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	94
1	412	94
2	5259	94

Stop Event

1×	node limit

Counts

6 → 363

Calls

Call 1

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

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

simplify148.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

656×	`log-prod`
530×	`associate-/l*`
484×	`distribute-lft-neg-in`
474×	`associate-r`
456×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	471	11943
1	1019	11767
2	4109	11767

Stop Event

1×	node limit

Counts

459 → 294

Calls

Call 1

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

eval101.0ms (3.4%)

Compiler: Compiled 4499 to 3250 computations (27.8% saved)

prune45.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	291	3	294
Fresh	0	0	0
Picked	2	1	3
Done	0	1	1
Total	293	5	298

Accurracy

100.0%

Counts

298 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(pow.f64 (/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re))) -1)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.7%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	98.7%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
▶	98.8%	(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))
▶	99.7%	(pow.f64 (/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re))) -1)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.7%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	98.7%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
▶	98.8%	(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 104 to 84 computations (19.2% saved)

localize161.0ms (5.5%)

Local Accuracy

Found 6 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(pow.f64 (/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re))) -1)
✓	98.7%	(/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re)))
	98.4%	(log.f64 1/10)
✓	99.9%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
	98.7%	(/.f64 (log.f64 10) (atan2.f64 im re))
✓	98.8%	(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 91 to 57 computations (37.4% saved)

series8.0ms (0.3%)

Counts

4 → 96

Calls

24 calls:

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

rewrite98.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`log-prod`
586×	`expm1-udef`
576×	`log1p-udef`
442×	`add-sqr-sqrt`
424×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	132
1	459	68
2	5773	68

Stop Event

1×	node limit

Counts

4 → 269

Calls

Call 1

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

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

simplify110.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1478×	`unswap-sqr`
1056×	`fma-def`
462×	`log-prod`
416×	`distribute-lft-in`
400×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	340	8047
1	808	7837
2	2561	7545

Stop Event

1×	node limit

Counts

365 → 185

Calls

Call 1

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

Outputs
(/.f64 (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))
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eval81.0ms (2.8%)

Compiler: Compiled 3644 to 2503 computations (31.3% saved)

prune69.0ms (2.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	268	1	269
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	269	5	274

Accurracy

100.0%

Counts

274 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.7%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	98.7%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
▶	99.7%	(/.f64 1 (/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re))))
✓	98.8%	(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.7%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	98.7%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
▶	99.7%	(/.f64 1 (/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re))))
✓	98.8%	(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 104 to 84 computations (19.2% saved)

localize50.0ms (1.7%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 32 to 17 computations (46.9% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite65.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

992×	`log-prod`
808×	`exp-prod`
544×	`prod-exp`
518×	`pow-prod-down`
492×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	240	17
2	3014	17

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

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

simplify77.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

868×	`distribute-lft-in`
840×	`distribute-rgt-in`
490×	`exp-prod`
452×	`associate-/l*`
452×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	184	2176
1	432	2130
2	1054	2130
3	3758	2130

Stop Event

1×	node limit

Counts

94 → 81

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

Outputs
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(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 1/10))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 1/10))))
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(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 1/10)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 1/10))))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(exp.f64 (-.f64 (.f64 (log.f64 (atan2.f64 im re)) 1) (.f64 (log.f64 (log.f64 1/10)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(/.f64 (atan2.f64 im re) (log.f64 1/10))

eval48.0ms (1.6%)

Compiler: Compiled 2365 to 1622 computations (31.4% saved)

prune29.0ms (1%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	182	0	182
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	182	5	187

Accurracy

100.0%

Counts

187 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.7%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	98.7%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
✓	99.7%	(/.f64 1 (/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re))))
✓	98.8%	(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 126 to 91 computations (27.8% saved)

regimes19.0ms (0.6%)

Counts

8 → 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 10) (atan2.f64 im re)))
(/.f64 1 (/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re))))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(pow.f64 (/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re))) -1)
(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))
(*.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:

5.0ms	re
5.0ms	im
3.0ms	(atan2.f64 im re)
3.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))

Results

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

Compiler

Compiled 93 to 62 computations (33.3% saved)

regimes9.0ms (0.3%)

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	im
2.0ms	re
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)

simplify10.0ms (0.3%)

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×	done
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)

soundness159.0ms (5.4%)

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%)

preprocess26.0ms (0.9%)

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

analyze1.0ms (0%)

sample1.1s (36.4%)

preprocess20.0ms (0.7%)

simplify3.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize43.0ms (1.5%)

series53.0ms (1.8%)

rewrite56.0ms (1.9%)

simplify58.0ms (2%)

eval10.0ms (0.3%)

prune8.0ms (0.3%)

localize144.0ms (4.9%)

series37.0ms (1.3%)

rewrite116.0ms (4%)

simplify148.0ms (5.1%)

eval101.0ms (3.4%)

prune45.0ms (1.5%)

localize161.0ms (5.5%)

series8.0ms (0.3%)

rewrite98.0ms (3.4%)

simplify110.0ms (3.7%)

eval81.0ms (2.8%)

prune69.0ms (2.4%)

localize50.0ms (1.7%)

series1.0ms (0%)

rewrite65.0ms (2.2%)

simplify77.0ms (2.6%)

eval48.0ms (1.6%)

prune29.0ms (1%)

regimes19.0ms (0.6%)

regimes9.0ms (0.3%)

simplify10.0ms (0.3%)

soundness159.0ms (5.4%)

end0.0ms (0%)

preprocess26.0ms (0.9%)

Profiling