Metrics for math.log10 on complex, imaginary part

analyze2.0ms (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
75%	74.9%	25%	0.1%	0%	0%	0%	3
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	4
93.8%	93.7%	6.2%	0.1%	0%	0%	0%	5
96.9%	96.8%	3.1%	0.1%	0%	0%	0%	6
98.4%	98.3%	1.6%	0.1%	0%	0%	0%	7
99.2%	99.1%	0.8%	0.1%	0%	0%	0%	8
99.6%	99.5%	0.4%	0.1%	0%	0%	0%	9
99.8%	99.7%	0.2%	0.1%	0%	0%	0%	10
99.9%	99.8%	0.1%	0.1%	0%	0%	0%	11
100%	99.9%	0%	0.1%	0%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample998.0ms (19.6%)

Results

986.0ms

8256×

body

256

valid

Bogosity

preprocess64.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

64×	`fma-def`
44×	`sub-neg`
24×	`+-commutative`
16×	`fma-neg`
16×	`*-commutative`

Problems

256×

No Errors

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	185
1	36	185
2	48	185
3	66	185
4	93	185
5	118	185
6	141	185
7	154	185
8	181	185

Stop Event

1×

saturated

Calls

Call 1

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

Compiler

Compiled 25 to 16 computations (36% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune2.0ms (0%)

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)

localize38.0ms (0.7%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 10 computations (41.2% saved)

series33.0ms (0.7%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
6.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	im	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	re	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite107.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`unpow-prod-down`
528×	`log-prod`
491×	`log1p-expm1-u`
491×	`expm1-log1p-u`
467×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	110	23
2	1339	23

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

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

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

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

974×	`log-prod`
768×	`unswap-sqr`
718×	`log-div`
642×	`fma-def`
544×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	199	2322
1	478	2146
2	1400	2100
3	5680	1972

Stop Event

1×	node limit

Counts

62 → 95

Calls

Call 1

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

Outputs
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(+.f64 (*.f64 2 (log.f64 (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 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))) 3)
(+.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 (atan2.f64 im re) (log.f64 10))
(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (log.f64 (E.f64)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.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 (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 (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 (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 (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 (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))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) -2)) (cbrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 3))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(/.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))) (atan2.f64 im re))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))
(/.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 (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 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 10)) (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 (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 (pow.f64 (cbrt.f64 (log.f64 10)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) -2)) (cbrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 3))
(*.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2) 3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3/2)))
(pow.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3/2) 1/6) 4)
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) (atan2.f64 im re)) 1/3) (cbrt.f64 (/.f64 1 (log.f64 10))))
(.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))) (cbrt.f64 (/.f64 1 (log.f64 10))))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (.f64 (log.f64 10) (log.f64 10)))) (cbrt.f64 (/.f64 1 (log.f64 10))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (cbrt.f64 (pow.f64 (.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 8)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 5/2)) (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2) -1) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1) (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2))
(/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) -2) -1) (pow.f64 (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))) -1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (pow.f64 (pow.f64 (atan2.f64 im re) -1/2) -1) (pow.f64 (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))) -1))
(*.f64 (/.f64 1 (pow.f64 (atan2.f64 im re) -1/2)) (/.f64 1 (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) 1) (pow.f64 (atan2.f64 im re) -1/2))
(/.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)) (pow.f64 (atan2.f64 im re) -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (log.f64 10)) (atan2.f64 im re)) -1))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) -2)) (cbrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 3))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) -1) (pow.f64 (/.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re))) -1))
(*.f64 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2))) (/.f64 1 (/.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re)))))
(.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (*.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (cbrt.f64 (atan2.f64 im re))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 10)) -2)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))
(pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))) 3)
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (sqrt.f64 (atan2.f64 im re))) -1) (pow.f64 (/.f64 (cbrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) -1))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))
(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) -2)) (cbrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 3))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)) -1))
(*.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 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (log.f64 10))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re))) -1))
(*.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 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (log.f64 10))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) -1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) -1))
(pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) -2)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) 1/2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (E.f64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1) -1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2)) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(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 (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))
(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 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1/3))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -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))

eval61.0ms (1.2%)

Compiler: Compiled 1399 to 934 computations (33.2% saved)

prune110.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	88	7	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	88	8	96

Accuracy

100.0%

Counts

96 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.3%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶	53.3%	(pow.f64 (E.f64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
	98.3%	(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)) -1))
	98.8%	(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))) (atan2.f64 im re))
▶	98.1%	(*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
▶	82.0%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
▶	98.3%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶	53.3%	(pow.f64 (E.f64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
	98.3%	(*.f64 (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)) -1))
	98.8%	(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))) (atan2.f64 im re))
▶	98.1%	(*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
▶	82.0%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

Compiler

Compiled 364 to 304 computations (16.5% saved)

localize354.0ms (7%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
	99.3%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.2%	(pow.f64 (E.f64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
✓	96.4%	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
✓	51.9%	(E.f64)
✓	99.8%	(exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
	99.3%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	91.4%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
✓	99.9%	(/.f64 1 (atan2.f64 im re))
✓	99.7%	(pow.f64 (/.f64 1 (atan2.f64 im re)) -1)
✓	99.4%	(*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
✓	99.2%	(/.f64 1 (log.f64 10))
✓	99.7%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	99.3%	(/.f64 (log.f64 10) (atan2.f64 im re))
✓	99.3%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	99.2%	(log.f64 1/10)

Compiler

Compiled 143 to 78 computations (45.5% saved)

series169.0ms (3.3%)

Counts

13 → 144

Calls

60 calls:

Time	Variable		Point	Expression
35.0ms	im	@	inf	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
17.0ms	im	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
15.0ms	re	@	inf	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
14.0ms	im	@	0	(log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
14.0ms	im	@	0	(pow.f64 (E.f64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

rewrite427.0ms (8.4%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`log1p-expm1-u`
791×	`expm1-log1p-u`
438×	`expm1-udef`
434×	`log1p-udef`
232×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	275
1	403	243
2	4664	243

Stop Event

1×	node limit

Counts

13 → 628

Calls

Call 1

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

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

simplify251.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

928×	`log-prod`
718×	`exp-prod`
686×	`associate-r`
684×	`fma-neg`
652×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	685	21286
1	1497	20428
2	6007	20428

Stop Event

1×	node limit

Counts

772 → 421

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

eval659.0ms (13%)

Compiler: Compiled 13016 to 8878 computations (31.8% saved)

prune198.0ms (3.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	799	2	801
Fresh	1	1	2
Picked	2	3	5
Done	0	1	1
Total	802	7	809

Accuracy

100.0%

Counts

809 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.3%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶	99.3%	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
✓	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)))
▶	98.8%	(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))) (atan2.f64 im re))
✓	82.0%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
✓	98.3%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶	99.3%	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
✓	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)))
▶	98.8%	(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))) (atan2.f64 im re))
✓	82.0%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

Compiler

Compiled 146 to 118 computations (19.2% saved)

localize297.0ms (5.8%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f64 -1 (atan2.f64 im re))
✓	99.5%	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
✓	98.7%	(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10))
	98.4%	(log.f64 1/10)
✓	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)
✓	98.8%	(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))) (atan2.f64 im re))

Compiler

Compiled 94 to 62 computations (34% saved)

series11.0ms (0.2%)

Counts

6 → 96

Calls

36 calls:

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

rewrite101.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`log1p-expm1-u`
823×	`expm1-log1p-u`
444×	`expm1-udef`
440×	`log1p-udef`
244×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	200
1	327	134
2	4326	134

Stop Event

1×	node limit

Counts

6 → 234

Calls

Call 1

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

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

simplify148.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1778×	`log-prod`
536×	`associate-/l/`
522×	`distribute-rgt-in`
510×	`distribute-lft-in`
476×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	8910
1	697	8904
2	2423	8874
3	7610	8874

Stop Event

1×	node limit

Counts

330 → 175

Calls

Call 1

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

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

eval135.0ms (2.7%)

Compiler: Compiled 3427 to 2491 computations (27.3% saved)

prune39.0ms (0.8%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	273	2	275
Fresh	0	0	0
Picked	1	2	3
Done	1	3	4
Total	275	7	282

Accuracy

100.0%

Counts

282 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.3%	(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	98.3%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
✓	99.3%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	98.8%	(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))) (atan2.f64 im re))
✓	82.0%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.3%	(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	98.3%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
✓	99.3%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	98.8%	(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))) (atan2.f64 im re))
✓	82.0%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

Compiler

Compiled 146 to 118 computations (19.2% saved)

localize133.0ms (2.6%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
	99.9%	(/.f64 -1 (atan2.f64 im re))
✓	98.4%	(/.f64 1 (log.f64 1/10))
	98.4%	(log.f64 1/10)
✓	98.3%	(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
✓	99.5%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
	98.7%	(/.f64 (log.f64 10) (atan2.f64 im re))

Compiler

Compiled 55 to 34 computations (38.2% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite82.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1058×	`log-prod`
937×	`log1p-expm1-u`
937×	`expm1-log1p-u`
340×	`expm1-udef`
336×	`log1p-udef`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	69
1	238	57
2	3301	57

Stop Event

1×	node limit

Counts

3 → 144

Calls

Call 1

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

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

simplify72.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

994×	`associate-/r*`
952×	`fma-def`
758×	`associate-/l/`
710×	`unswap-sqr`
618×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	224	5830
1	534	5564
2	1981	5384

Stop Event

1×	node limit

Counts

192 → 122

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

eval180.0ms (3.5%)

Compiler: Compiled 3332 to 2394 computations (28.2% saved)

prune43.0ms (0.8%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	236	1	237
Fresh	0	0	0
Picked	0	2	2
Done	1	4	5
Total	237	7	244

Accuracy

100.0%

Counts

244 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
	49.2%	(/.f64 (/.f64 1 (log.f64 1/10)) (pow.f64 (sqrt.f64 (/.f64 -1 (atan2.f64 im re))) 2))
✓	99.3%	(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	98.3%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
✓	99.3%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	82.0%	(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

Compiler

Compiled 204 to 152 computations (25.5% saved)

regimes29.0ms (0.6%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 149 to 105 computations (29.5% saved)

regimes12.0ms (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:

4.0ms	im
3.0ms	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)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	22	50
2	26	50
3	29	50
4	30	50

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)

soundness209.0ms (4.1%)

Rules

974×	`log-prod`
768×	`unswap-sqr`
718×	`log-div`
712×	`unpow-prod-down`
642×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	110	23
2	1339	23
0	199	2322
1	478	2146
2	1400	2100
3	5680	1972

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 73 to 46 computations (37% saved)

end0.0ms (0%)

preprocess54.0ms (1.1%)

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

analyze2.0ms (0%)

sample998.0ms (19.6%)

preprocess64.0ms (1.3%)

eval0.0ms (0%)

prune2.0ms (0%)

localize38.0ms (0.7%)

series33.0ms (0.7%)

rewrite107.0ms (2.1%)

simplify62.0ms (1.2%)

eval61.0ms (1.2%)

prune110.0ms (2.2%)

localize354.0ms (7%)

series169.0ms (3.3%)

rewrite427.0ms (8.4%)

simplify251.0ms (4.9%)

eval659.0ms (13%)

prune198.0ms (3.9%)

localize297.0ms (5.8%)

series11.0ms (0.2%)

rewrite101.0ms (2%)

simplify148.0ms (2.9%)

eval135.0ms (2.7%)

prune39.0ms (0.8%)

localize133.0ms (2.6%)

series1.0ms (0%)

rewrite82.0ms (1.6%)

simplify72.0ms (1.4%)

eval180.0ms (3.5%)

prune43.0ms (0.8%)

regimes29.0ms (0.6%)

regimes12.0ms (0.2%)

simplify3.0ms (0.1%)

soundness209.0ms (4.1%)

end0.0ms (0%)

preprocess54.0ms (1.1%)

Profiling