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)

Operations

Operation ival-log

Operation ival-div

Operation ival-atan2

Operation const

sample1.2s (25%)

Results

1.2s

8256×

body

256

valid

Operations

Operation ival-log

Operation ival-div

Operation ival-atan2

Operation const

Bogosity

preprocess91.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Problems

255×	No Errors
1×	`(/.f64 (atan2.f64 im re) (log.f64 10))`

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)

Operations

Operation ival-log

Operation ival-div

Operation ival-atan2

Operation const

eval0.0ms (0%)

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

prune1.0ms (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)

localize125.0ms (2.5%)

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)

Operations

Operation ival-log

Operation ival-div

Operation ival-atan2

Operation const

series31.0ms (0.6%)

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	re	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	re	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite109.0ms (2.2%)

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))))

simplify78.0ms (1.6%)

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))

eval30.0ms (0.6%)

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

prune16.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	91	4	95
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	5	96

Accuracy

100.0%

Counts

96 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶	97.6%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	98.8%	(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))) (atan2.f64 im re))
▶	98.6%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶	97.6%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (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 104 to 84 computations (19.2% saved)

localize370.0ms (7.5%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	99.8%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	98.7%	(/.f64 (log.f64 10) (atan2.f64 im re))
	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	98.7%	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
✓	91.0%	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
✓	98.7%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	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 112 to 68 computations (39.3% saved)

Operations

Operation ival-sqrt

Operation ival-pow

Operation ival-neg

Operation ival-mult

Operation ival-log

Operation ival-div

Operation ival-cbrt

Operation ival-atan2

Operation const

series50.0ms (1%)

Counts

7 → 120

Calls

36 calls:

Time	Variable		Point	Expression
17.0ms	im	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
9.0ms	re	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
2.0ms	im	@	0	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
2.0ms	im	@	0	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
2.0ms	im	@	-inf	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))

rewrite128.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`log1p-expm1-u`
635×	`expm1-log1p-u`
388×	`expm1-udef`
384×	`log1p-udef`
220×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	227
1	359	147
2	4343	147

Stop Event

1×	node limit

Counts

7 → 409

Calls

Call 1

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

Outputs
(-.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1)
(-.f64 (/.f64 0 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(/.f64 (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 (atan2.f64 im re) (log.f64 1/10))
(/.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 1 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1))
(/.f64 1 (/.f64 (sqrt.f64 (log.f64 10)) (*.f64 (pow.f64 (log.f64 10) -1/2) (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 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 1/10) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (*.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) (sqrt.f64 (log.f64 1/10))) (sqrt.f64 (log.f64 1/10)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 10))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)) (cbrt.f64 (atan2.f64 im re))) (cbrt.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 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))) (cbrt.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 (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 10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (cbrt.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 (*.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 (atan2.f64 im re) (log.f64 10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)) 3/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(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)))
(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 10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(-.f64 0 (log.f64 10))
(-.f64 (exp.f64 (log1p.f64 (log.f64 1/10))) 1)
(*.f64 (sqrt.f64 (log.f64 10)) (neg.f64 (sqrt.f64 (log.f64 10))))
(*.f64 (log.f64 1/10) 1)
(*.f64 -1 (log.f64 10))
(*.f64 1 (log.f64 1/10))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (neg.f64 (cbrt.f64 (log.f64 10))))
(*.f64 (cbrt.f64 (log.f64 1/10)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 1/10) 2)) (cbrt.f64 (log.f64 1/10)))
(*.f64 (sqrt.f64 (log.f64 1/10)) (sqrt.f64 (log.f64 1/10)))
(*.f64 (neg.f64 (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(pow.f64 (log.f64 1/10) 1)
(pow.f64 (cbrt.f64 (log.f64 1/10)) 3)
(pow.f64 (pow.f64 (log.f64 1/10) 3) 1/3)
(pow.f64 (sqrt.f64 (log.f64 1/10)) 2)
(neg.f64 (log.f64 10))
(sqrt.f64 (pow.f64 (log.f64 1/10) 2))
(cbrt.f64 (pow.f64 (log.f64 1/10) 3))
(expm1.f64 (log1p.f64 (log.f64 1/10)))
(exp.f64 (log.f64 (log.f64 1/10)))
(exp.f64 (*.f64 (log.f64 (log.f64 1/10)) 1))
(log1p.f64 -9/10)
(-.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1)
(-.f64 (/.f64 0 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (pow.f64 (log.f64 10) -1/2) (.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re)))
(*.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)) (atan2.f64 im re))
(*.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (/.f64 -1 (atan2.f64 im re)) -1))
(*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 1/10)))
(*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (pow.f64 (/.f64 1 (cbrt.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 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 (cbrt.f64 (pow.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 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))))
(*.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 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 1/10))))
(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/6) (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/6) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))))
(*.f64 (/.f64 -1 (log.f64 10)) (atan2.f64 im re))
(.f64 (.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))) 3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/6) 3))
(*.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 -1 (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 -1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.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 (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 (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 (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 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 1/10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) 1) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (cbrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (cbrt.f64 (sqrt.f64 (log.f64 10)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)) 1) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)))) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/6)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/6))
(.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 (/.f64 1 (cbrt.f64 (log.f64 10))) 2)) (/.f64 1 (cbrt.f64 (log.f64 10))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)) 3/2)
(pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2) -1/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(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)))
(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 10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
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(*.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))))
(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 (/.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 10) (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2))
(log.f64 (pow.f64 10 (/.f64 -1 (atan2.f64 im re))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 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 10) 3) (pow.f64 (atan2.f64 im re) 3)))
(cbrt.f64 (/.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (atan2.f64 im re) 3)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 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 0 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1)
(-.f64 (/.f64 0 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (pow.f64 (log.f64 10) -1/2) (.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re)))
(*.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)) (atan2.f64 im re))
(*.f64 (/.f64 -1 (log.f64 1/10)) (pow.f64 (/.f64 -1 (atan2.f64 im re)) -1))
(*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 1/10)))
(*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(.f64 (pow.f64 (/.f64 1 (cbrt.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 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 (cbrt.f64 (pow.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 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))))
(*.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 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 1/10))))
(.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/6) (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/6) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))))
(*.f64 (/.f64 -1 (log.f64 10)) (atan2.f64 im re))
(.f64 (.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))) 3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/6) 3) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/6) 3))
(*.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 -1 (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 -1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.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 (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 (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 (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 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 1/10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) 1) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (log.f64 10) -1/2) (cbrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (cbrt.f64 (sqrt.f64 (log.f64 10)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)) 1) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)))) (cbrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/6)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/6))
(.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 (/.f64 1 (cbrt.f64 (log.f64 10))) 2)) (/.f64 1 (cbrt.f64 (log.f64 10))))
(/.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 (atan2.f64 im re) (log.f64 1/10))
(/.f64 -1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.f64 1 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1))
(/.f64 1 (/.f64 (sqrt.f64 (log.f64 10)) (*.f64 (pow.f64 (log.f64 10) -1/2) (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 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 1/10) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (*.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) (sqrt.f64 (log.f64 1/10))) (sqrt.f64 (log.f64 1/10)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 10))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)) (cbrt.f64 (atan2.f64 im re))) (cbrt.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 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))) (cbrt.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 (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 10) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 1/10) 2))) (cbrt.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 (*.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 10)))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(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)))
(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 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))))

simplify264.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

926×	`associate-/r/`
582×	`log-prod`
554×	`distribute-rgt-in`
536×	`distribute-lft-in`
420×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	398	16819
1	896	16305
2	3346	16025

Stop Event

1×	node limit

Counts

529 → 237

Calls

Call 1

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

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

eval145.0ms (2.9%)

Compiler: Compiled 4859 to 3372 computations (30.6% saved)

prune57.0ms (1.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	328	4	332
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	330	7	337

Accuracy

100.0%

Counts

337 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(pow.f64 (/.f64 (neg.f64 (log.f64 1/10)) (atan2.f64 im re)) -1)
▶	99.7%	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.7%	(/.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))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	98.6%	(/.f64 1 (/.f64 (log.f64 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))
▶	99.7%	(pow.f64 (/.f64 (neg.f64 (log.f64 1/10)) (atan2.f64 im re)) -1)
▶	99.7%	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.7%	(/.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))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	98.6%	(/.f64 1 (/.f64 (log.f64 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))

Compiler

Compiled 168 to 140 computations (16.7% saved)

localize683.0ms (13.8%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	99.8%	(pow.f64 (/.f64 (neg.f64 (log.f64 1/10)) (atan2.f64 im re)) -1)
✓	98.7%	(/.f64 (neg.f64 (log.f64 1/10)) (atan2.f64 im re))
	98.4%	(log.f64 1/10)
✓	99.9%	(/.f64 -1 (atan2.f64 im re))
✓	99.8%	(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)
✓	99.9%	(*.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re))
✓	99.9%	(/.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re)) (pow.f64 (log.f64 10) 1/4))
✓	99.8%	(/.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))
✓	99.8%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
	98.7%	(/.f64 (log.f64 10) (atan2.f64 im re))

Compiler

Compiled 143 to 94 computations (34.3% saved)

Operations

Operation ival-pow

Operation ival-neg

Operation ival-mult

Operation ival-log

Operation ival-div

Operation ival-atan2

Operation const

series43.0ms (0.9%)

Counts

9 → 192

Calls

54 calls:

Time	Variable		Point	Expression
16.0ms	im	@	0	(/.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re)) (pow.f64 (log.f64 10) 1/4))
7.0ms	re	@	0	(/.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re)) (pow.f64 (log.f64 10) 1/4))
2.0ms	re	@	inf	(*.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re))
1.0ms	re	@	0	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
1.0ms	im	@	0	(*.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re))

rewrite77.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

236×	`associate-r`
190×	`times-frac`
164×	`associate-l`
148×	`log1p-expm1-u`
148×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	287
1	405	287
2	4732	287

Stop Event

1×

unsound

Counts

9 → 364

Calls

Call 1

Inputs
(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
(/.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) (atan2.f64 im re)) (pow.f64 (log.f64 10) 1/4))
(*.f64 (pow.f64 (log.f64 10) -1/2) (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))
(/.f64 (neg.f64 (log.f64 1/10)) (atan2.f64 im re))
(pow.f64 (/.f64 (neg.f64 (log.f64 1/10)) (atan2.f64 im re)) -1)

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

simplify191.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1376×	`log-prod`
840×	`associate-r`
768×	`associate-l`
738×	`associate-/l*`
520×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	513	17430
1	1184	16730
2	5936	16730

Stop Event

1×	node limit

Counts

556 → 303

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(/.f64 (atan2.f64 im re) (log.f64 10))
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(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1)
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(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))

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

eval163.0ms (3.3%)

Compiler: Compiled 7333 to 5592 computations (23.7% saved)

prune65.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	454	3	457
Fresh	0	0	0
Picked	3	1	4
Done	1	2	3
Total	458	6	464

Accuracy

100.0%

Counts

464 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.7%	(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
▶	98.8%	(/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (atan2.f64 im re)) (pow.f64 (log.f64 10) 1/4))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	98.6%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
▶	99.7%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	99.7%	(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
▶	98.8%	(/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (atan2.f64 im re)) (pow.f64 (log.f64 10) 1/4))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	98.6%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
▶	99.7%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))

Compiler

Compiled 136 to 112 computations (17.6% saved)

localize307.0ms (6.2%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
	99.9%	(/.f64 -1 (atan2.f64 im re))
✓	98.7%	(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
✓	98.4%	(/.f64 1 (log.f64 1/10))
	98.4%	(log.f64 1/10)
✓	99.8%	(/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (atan2.f64 im re)) (pow.f64 (log.f64 10) 1/4))
✓	98.8%	(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (atan2.f64 im re))
✓	97.5%	(pow.f64 (log.f64 10) 3)
✓	99.8%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	98.7%	(/.f64 (log.f64 1/10) (atan2.f64 im re))
	98.4%	(log.f64 1/10)

Compiler

Compiled 117 to 85 computations (27.4% saved)

Operations

Operation ival-pow

Operation ival-mult

Operation ival-log

Operation ival-div

Operation ival-atan2

Operation const

series19.0ms (0.4%)

Counts

7 → 72

Calls

30 calls:

Time	Variable		Point	Expression
7.0ms	re	@	0	(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (atan2.f64 im re))
7.0ms	im	@	0	(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (atan2.f64 im re))
1.0ms	im	@	-inf	(/.f64 (log.f64 1/10) (atan2.f64 im re))
0.0ms	im	@	inf	(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (atan2.f64 im re))
0.0ms	re	@	inf	(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (atan2.f64 im re))

rewrite120.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1071×	`log1p-expm1-u`
560×	`expm1-udef`
556×	`log1p-udef`
262×	`associate-r`
178×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	189
1	390	173
2	5363	173

Stop Event

1×	node limit

Counts

7 → 227

Calls

Call 1

Inputs
(/.f64 (log.f64 1/10) (atan2.f64 im re))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(pow.f64 (log.f64 10) 3)
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (atan2.f64 im re))
(/.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 3)) 1/4) (atan2.f64 im re)) (pow.f64 (log.f64 10) 1/4))
(/.f64 1 (log.f64 1/10))
(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))

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

simplify117.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

904×	`distribute-lft-in`
652×	`log-prod`
580×	`associate-r`
536×	`cube-prod`
530×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	419	9453
1	1004	9131
2	4018	8685

Stop Event

1×	node limit

Counts

299 → 231

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

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

eval116.0ms (2.3%)

Compiler: Compiled 5210 to 3967 computations (23.9% saved)

prune46.0ms (0.9%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	350	1	351
Fresh	0	0	0
Picked	1	2	3
Done	0	3	3
Total	351	6	357

Accuracy

100.0%

Counts

357 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.7%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	99.7%	(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
	98.8%	(/.f64 (*.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -3/4)) (pow.f64 (log.f64 10) 1/4))
✓	99.8%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	98.6%	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
✓	99.7%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))

Compiler

Compiled 201 to 151 computations (24.9% saved)

regimes27.0ms (0.5%)

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

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

Calls

4 calls:

8.0ms	re
8.0ms	im
4.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
3.0ms	(atan2.f64 im re)

Results

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

Compiler

Compiled 156 to 112 computations (28.2% 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	(/.f64 (atan2.f64 im re) (log.f64 10))
3.0ms	re
3.0ms	im
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)

soundness188.0ms (3.8%)

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%)

preprocess27.0ms (0.6%)

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

analyze2.0ms (0%)

sample1.2s (25%)

preprocess91.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize125.0ms (2.5%)

series31.0ms (0.6%)

rewrite109.0ms (2.2%)

simplify78.0ms (1.6%)

eval30.0ms (0.6%)

prune16.0ms (0.3%)

localize370.0ms (7.5%)

series50.0ms (1%)

rewrite128.0ms (2.6%)

simplify264.0ms (5.3%)

eval145.0ms (2.9%)

prune57.0ms (1.2%)

localize683.0ms (13.8%)

series43.0ms (0.9%)

rewrite77.0ms (1.6%)

simplify191.0ms (3.9%)

eval163.0ms (3.3%)

prune65.0ms (1.3%)

localize307.0ms (6.2%)

series19.0ms (0.4%)

rewrite120.0ms (2.4%)

simplify117.0ms (2.4%)

eval116.0ms (2.3%)

prune46.0ms (0.9%)

regimes27.0ms (0.5%)

regimes12.0ms (0.2%)

simplify3.0ms (0.1%)

soundness188.0ms (3.8%)

end0.0ms (0%)

preprocess27.0ms (0.6%)

Profiling