Details

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
100%	99.9%	0%	0.1%	0%	0%	0%	3

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample918.0ms (20.3%)

Results

908.0ms

8256×

body

256

valid

Bogosity

preprocess16.0ms (0.4%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.9b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series33.0ms (0.7%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
10.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
1.0ms	re	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))
1.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))
1.0ms	re	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite42.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`pow1_binary64`
633×	`add-log-exp_binary64`
633×	`log1p-expm1-u_binary64`
633×	`expm1-log1p-u_binary64`
619×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	141	9
2	1701	9

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))))

simplify40.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

677×	`log-prod_binary64`
452×	`associate-l_binary64`
395×	`associate-r_binary64`
329×	`fma-def_binary64`
286×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	480
1	198	390
2	642	306
3	4181	306

Stop Event

1×	node limit

Counts

31 → 36

Calls

Call 1

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

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

eval9.0ms (0.2%)

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

prune11.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	30	6	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	7	37

Error

0.0b

Counts

37 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	0.2b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
	2.2b	(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
▶	0.8b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
▶	5.8b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
▶	6.3b	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))

Compiler

Compiled 160 to 126 computations (21.3% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	1.0b	(log.f64 1/10)

Compiler

Compiled 21 to 10 computations (52.4% saved)

series32.0ms (0.7%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	im	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
13.0ms	re	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
1.0ms	re	@	inf	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
1.0ms	im	@	inf	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
1.0ms	re	@	-inf	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))

rewrite45.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

699×	`pow1_binary64`
649×	`add-log-exp_binary64`
648×	`log1p-expm1-u_binary64`
648×	`expm1-log1p-u_binary64`
635×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	166	12
2	2166	12

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 1/10)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (cbrt.f64 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 1/10)) (sqrt.f64 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 1/10) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 1/10)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 1/10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 1/10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 1/10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 -9/10)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 1/10)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (log.f64 1/10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x .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))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 1/10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 1/10)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (cbrt.f64 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 1/10)) (sqrt.f64 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 1/10) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 1/10) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 1/10)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 1/10)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 1/10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 1/10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 -9/10)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 1/10)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 1/10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 1/10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))))

simplify48.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

814×	`log-div_binary64`
649×	`fma-def_binary64`
427×	`associate-/r*_binary64`
425×	`unswap-sqr_binary64`
378×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	923
1	246	794
2	1003	668
3	6569	668

Stop Event

1×	node limit

Counts

75 → 61

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

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

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	0.8b	(/.f64 (log.f64 10) (atan2.f64 im re))

Compiler

Compiled 25 to 15 computations (40% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite49.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

838×	`pow1_binary64`
781×	`add-log-exp_binary64`
781×	`log1p-expm1-u_binary64`
781×	`expm1-log1p-u_binary64`
763×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	183	18
2	2161	18

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log.f64 10) 2)) (*.f64 (cbrt.f64 (log.f64 10)) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 10)) (*.f64 (sqrt.f64 (log.f64 10)) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 10) 2)) 1) (/.f64 (cbrt.f64 (log.f64 10)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 10)) 1) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 10) 2)) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (atan2.f64 im re))) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 10) 2)) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) -1) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 1/10)) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))))

simplify54.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

554×	`log-div_binary64`
492×	`fma-def_binary64`
455×	`log-prod_binary64`
414×	`associate-*l/_binary64`
379×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	1238
1	380	1133
2	1184	1061
3	5867	1061

Stop Event

1×	node limit

Counts

95 → 86

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

localize17.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.8b	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)
	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	6.3b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))

Compiler

Compiled 34 to 21 computations (38.2% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite77.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

869×	`pow1_binary64`
817×	`add-log-exp_binary64`
817×	`log1p-expm1-u_binary64`
817×	`expm1-log1p-u_binary64`
796×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	212	21
2	2297	21

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) 1/3) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x 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(atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 2))) (cbrt.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (/.f64 1 (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) 3) (/.f64 1 (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3/2) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) 3) (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3) (pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) (atan2.f64 im re)) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) 1) (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) (/.f64 (log.f64 10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 3) (pow.f64 (log.f64 1/10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3)) (neg.f64 (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2)) (log.f64 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) (atan2.f64 im re)) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) 1) (/.f64 (log.f64 10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) (neg.f64 (atan2.f64 im re))) (log.f64 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))))))

simplify62.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

708×	`associate-/r*_binary64`
557×	`fma-neg_binary64`
281×	`associate-/r/_binary64`
271×	`fma-def_binary64`
240×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	171	1448
1	400	1427
2	1595	1427
3	7561	1427

Stop Event

1×	node limit

Counts

126 → 87

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

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
✓	0.8b	(pow.f64 (atan2.f64 im re) 3)
✓	1.6b	(pow.f64 (log.f64 10) 3)
✓	6.3b	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))

Compiler

Compiled 41 to 28 computations (31.7% saved)

series26.0ms (0.6%)

Counts

4 → 24

Calls

18 calls:

Time	Variable		Point	Expression
18.0ms	im	@	-inf	(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
1.0ms	im	@	0	(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
1.0ms	re	@	0	(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))
1.0ms	im	@	inf	(pow.f64 (atan2.f64 im re) 3)
1.0ms	re	@	inf	(pow.f64 (atan2.f64 im re) 3)

rewrite79.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`log-prod_binary64`
375×	`exp-prod_binary64`
318×	`prod-exp_binary64`
274×	`pow-prod-down_binary64`
257×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	236	34
2	2635	34

Stop Event

1×	node limit

Counts

4 → 193

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))
(pow.f64 (log.f64 10) 3)
(pow.f64 (atan2.f64 im re) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (atan2.f64 im re) (/.f64 1 (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log1p.f64 9)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log1p.f64 9) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log1p.f64 9))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log1p.f64 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log1p.f64 9) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log1p.f64 9) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3))) (cbrt.f64 (neg.f64 (pow.f64 (log1p.f64 9) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) 1) (log1p.f64 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)) (cbrt.f64 (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 2)) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x 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3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 im re))) 1) (.f64 3 (log.f64 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 3 (log.f64 (atan2.f64 im re))) (.f64 (.f64 3 (log.f64 (log1p.f64 9))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 im re))) 1) (.f64 (.f64 3 (log.f64 (log1p.f64 9))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 im re))) 1) (.f64 -3 (log.f64 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1/3) (.f64 2 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1) (.f64 2 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 -3 (log.f64 (log1p.f64 9))) (.f64 (*.f64 3 (log.f64 (atan2.f64 im re))) 1)))))))

simplify88.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

946×	`fma-neg_binary64`
349×	`exp-prod_binary64`
339×	`associate-/l/_binary64`
261×	`sqr-pow_binary64`
196×	`associate-/r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	439	4294969710
1	946	2379
2	2860	2379
3	7381	2379

Stop Event

1×	node limit

Counts

217 → 215

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 0 (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1)
(*.f64 (atan2.f64 im re) (/.f64 1 (log1p.f64 9)))
(*.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log1p.f64 9)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log1p.f64 9)))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 9)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (log1p.f64 9) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log1p.f64 9))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3)))
(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log1p.f64 9) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log1p.f64 9) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3))) (cbrt.f64 (neg.f64 (pow.f64 (log1p.f64 9) 3))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (log1p.f64 9)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log1p.f64 9))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)) (cbrt.f64 (log1p.f64 9)))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 6) 1/6)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 9) 1/9)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3/2) 2/3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3) -1/3)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3)) -1)
(pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 2)) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 2))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1) 1/3))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log1p.f64 9))))
(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log1p.f64 9)) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (atan2.f64 im re)) 1) (.f64 (log.f64 (log1p.f64 9)) 1)))
(+.f64 0 (pow.f64 (log1p.f64 9) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 9) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log1p.f64 9) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 9) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log1p.f64 9) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log1p.f64 9) 3))) 1)
(*.f64 (log1p.f64 9) (pow.f64 (log1p.f64 9) 2))
(*.f64 (pow.f64 (log1p.f64 9) 3) 1)
(*.f64 1 (pow.f64 (log1p.f64 9) 3))
(*.f64 (pow.f64 (log1p.f64 9) 2) (log1p.f64 9))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 9)) 2) (.f64 (cbrt.f64 (log1p.f64 9)) (pow.f64 (log1p.f64 9) 2)))
(*.f64 (sqrt.f64 (log1p.f64 9)) (pow.f64 (log1p.f64 9) 5/2))
(*.f64 (pow.f64 (log1p.f64 9) 3/2) (pow.f64 (log1p.f64 9) 3/2))
(.f64 (.f64 (pow.f64 (log1p.f64 9) 2) 1) (log1p.f64 9))
(.f64 (pow.f64 (.f64 (log1p.f64 9) (cbrt.f64 (log1p.f64 9))) 2) (cbrt.f64 (log1p.f64 9)))
(*.f64 (pow.f64 (log1p.f64 9) 5/2) (sqrt.f64 (log1p.f64 9)))
(sqrt.f64 (pow.f64 (log1p.f64 9) 6))
(log.f64 (exp.f64 (pow.f64 (log1p.f64 9) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log1p.f64 9) 3))))
(cbrt.f64 (pow.f64 (log1p.f64 9) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log1p.f64 9) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log1p.f64 9) 3)))
(exp.f64 (*.f64 3 (log.f64 (log1p.f64 9))))
(exp.f64 (.f64 (.f64 3 (log.f64 (log1p.f64 9))) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (log1p.f64 9))) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 9) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 9) 3/2)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 9)) 1) 3))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (log1p.f64 9))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log1p.f64 9)) 3/2) 2))
(exp.f64 (+.f64 (.f64 (log.f64 (log1p.f64 9)) 1) (.f64 2 (log.f64 (log1p.f64 9)))))
(exp.f64 (+.f64 (.f64 2 (log.f64 (log1p.f64 9))) (.f64 (log.f64 (log1p.f64 9)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (log1p.f64 9)) 3/2) (log.f64 (pow.f64 (log1p.f64 9) 3/2))))
(exp.f64 (+.f64 (log.f64 (pow.f64 (log1p.f64 9) 3/2)) (*.f64 (log.f64 (log1p.f64 9)) 3/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (log1p.f64 9)) 3/2) (.f64 (log.f64 (log1p.f64 9)) 3/2)))
(+.f64 0 (pow.f64 (atan2.f64 im re) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 im re) 3))) 1)
(*.f64 (atan2.f64 im re) (pow.f64 (atan2.f64 im re) 2))
(*.f64 (pow.f64 (atan2.f64 im re) 3) 1)
(*.f64 1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 (pow.f64 (atan2.f64 im re) 2) (atan2.f64 im re))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) 2)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) 5/2))
(*.f64 (pow.f64 (atan2.f64 im re) 3/2) (pow.f64 (atan2.f64 im re) 3/2))
(*.f64 (pow.f64 (atan2.f64 im re) 5/2) (sqrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (pow.f64 (atan2.f64 im re) 2) 1) (atan2.f64 im re))
(.f64 (pow.f64 (.f64 (atan2.f64 im re) (cbrt.f64 (atan2.f64 im re))) 2) (cbrt.f64 (atan2.f64 im re)))
(sqrt.f64 (pow.f64 (atan2.f64 im re) 6))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 im re) 3))))
(cbrt.f64 (pow.f64 (atan2.f64 im re) 9))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 im re) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 im re) 3)))
(exp.f64 (*.f64 3 (log.f64 (atan2.f64 im re))))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 im re))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) 9)) 1/3))
(exp.f64 (.f64 (.f64 2 (log.f64 (atan2.f64 im re))) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) 3/2)) 2))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 im re)) 1) 3))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (atan2.f64 im re))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 im re)) 3/2) 2))
(exp.f64 (+.f64 (.f64 (log.f64 (atan2.f64 im re)) 1) (.f64 2 (log.f64 (atan2.f64 im re)))))
(exp.f64 (+.f64 (.f64 2 (log.f64 (atan2.f64 im re))) (.f64 (log.f64 (atan2.f64 im re)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 3/2) (log.f64 (pow.f64 (atan2.f64 im re) 3/2))))
(exp.f64 (+.f64 (log.f64 (pow.f64 (atan2.f64 im re) 3/2)) (*.f64 (log.f64 (atan2.f64 im re)) 3/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (atan2.f64 im re)) 3/2) (.f64 (log.f64 (atan2.f64 im re)) 3/2)))
(+.f64 0 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))) 1)
(.f64 (atan2.f64 im re) (.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log1p.f64 9) -3)))
(*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log1p.f64 9) -3))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3) 1)
(*.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 2))
(*.f64 1 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 2) (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(.f64 (pow.f64 (atan2.f64 im re) 2) (.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) -3)))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3/2) (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3/2))
(*.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3)) (/.f64 1 (neg.f64 (pow.f64 (log1p.f64 9) 3))))
(*.f64 (pow.f64 (log1p.f64 9) -3) (pow.f64 (atan2.f64 im re) 3))
(.f64 (pow.f64 (atan2.f64 im re) 3/2) (.f64 (pow.f64 (atan2.f64 im re) 3/2) (pow.f64 (log1p.f64 9) -3)))
(*.f64 (/.f64 1 (log1p.f64 9)) (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log1p.f64 9) 2)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log1p.f64 9)) (/.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) 2)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) 2)) (/.f64 (pow.f64 (atan2.f64 im re) 2) (log1p.f64 9)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3/2) (log1p.f64 9)) (/.f64 (pow.f64 (atan2.f64 im re) 3/2) (pow.f64 (log1p.f64 9) 2)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3/2) (pow.f64 (log1p.f64 9) 2)) (/.f64 (pow.f64 (atan2.f64 im re) 3/2) (log1p.f64 9)))
(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log1p.f64 9) 3)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) 1) (/.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) 3)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3/2) 1) (/.f64 (pow.f64 (atan2.f64 im re) 3/2) (pow.f64 (log1p.f64 9) 3)))
(*.f64 (pow.f64 (log1p.f64 9) -2) (/.f64 (pow.f64 (atan2.f64 im re) 3) (log1p.f64 9)))
(*.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) 3/2)) (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log1p.f64 9) 3/2)))
(*.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log1p.f64 9) 3/2)) (/.f64 (atan2.f64 im re) (pow.f64 (log1p.f64 9) 3/2)))
(*.f64 (pow.f64 (log1p.f64 9) -3/2) (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log1p.f64 9) 3/2)))
(.f64 (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 2) 1) (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(.f64 (pow.f64 (.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 5/2) (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3) 1)
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 6) 1/2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 9) 1/3)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 9)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 6)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3/2) 2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3) -1)
(pow.f64 (exp.f64 1) (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 9) (pow.f64 (log1p.f64 9) 9)) 1/3)
(pow.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))) 2)) (cbrt.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))) (sqrt.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (neg.f64 (pow.f64 (log1p.f64 9) 3))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 6))
(log.f64 (exp.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 9))
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 9) (pow.f64 (log1p.f64 9) 9)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)))
(exp.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 9)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3/2)) 2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3)) -1))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1) 1))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1/3) 3))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1) 3))
(exp.f64 (-.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 im re))) 1) (*.f64 3 (log.f64 (log1p.f64 9)))))
(exp.f64 (-.f64 (.f64 3 (log.f64 (atan2.f64 im re))) (.f64 (*.f64 3 (log.f64 (log1p.f64 9))) 1)))
(exp.f64 (-.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 im re))) 1) (.f64 (.f64 3 (log.f64 (log1p.f64 9))) 1)))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 im re))) 1) (*.f64 -3 (log.f64 (log1p.f64 9)))))
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1/3) (*.f64 2 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1) (.f64 2 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(exp.f64 (+.f64 (.f64 2 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) (.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1/3)))
(exp.f64 (+.f64 (.f64 2 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1)))
(exp.f64 (+.f64 (.f64 -3 (log.f64 (log1p.f64 9))) (.f64 (*.f64 3 (log.f64 (atan2.f64 im re))) 1)))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 0 (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1)
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(*.f64 (atan2.f64 im re) (/.f64 1 (log1p.f64 9)))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(*.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1)
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(*.f64 1 (/.f64 (atan2.f64 im re) (log1p.f64 9)))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log1p.f64 9)))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log1p.f64 9)))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 9)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 9)) -2) (/.f64 (cbrt.f64 (log1p.f64 9)) (atan2.f64 im re)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(*.f64 (pow.f64 (log1p.f64 9) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log1p.f64 9))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3)))
(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log1p.f64 9) (cbrt.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log1p.f64 9) (sqrt.f64 (atan2.f64 im re))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3))) (cbrt.f64 (neg.f64 (pow.f64 (log1p.f64 9) 3))))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (log1p.f64 9)))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log1p.f64 9))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log1p.f64 9)) 2)) (cbrt.f64 (log1p.f64 9)))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3) 1/3)
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1)
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 2) 1/2)
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 6) 1/6)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 9) 1/9)
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 9) 1/18) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 9) 1/18))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 3)
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2)
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3/2) 2/3)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3/2)) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3/2)))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3) -1/3)
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3) -1/6) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3) -1/6))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3)) -1)
(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3)))
(pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -1)
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 2)) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 2))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
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(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 6)
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3/2) 2)
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3) -1)
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(pow.f64 (exp.f64 1) (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 9) (pow.f64 (log1p.f64 9) 9)) 1/3)
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 9) (pow.f64 (log1p.f64 9) 9)))
(pow.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3) 1) -1)
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))) 2)) (cbrt.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))) (sqrt.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(neg.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (neg.f64 (pow.f64 (log1p.f64 9) 3))))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 6))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(log.f64 (exp.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 9))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 9) (pow.f64 (log1p.f64 9) 9)))
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(exp.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 9)) 1/3))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3/2)) 2))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) -3)) -1))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1) 1))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1/3) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(exp.f64 (-.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 im re))) 1) (*.f64 3 (log.f64 (log1p.f64 9)))))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(exp.f64 (-.f64 (.f64 3 (log.f64 (atan2.f64 im re))) (.f64 (*.f64 3 (log.f64 (log1p.f64 9))) 1)))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(exp.f64 (-.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 im re))) 1) (.f64 (.f64 3 (log.f64 (log1p.f64 9))) 1)))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 im re))) 1) (*.f64 -3 (log.f64 (log1p.f64 9)))))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(exp.f64 (+.f64 (.f64 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1/3) (*.f64 2 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1) (.f64 2 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(exp.f64 (+.f64 (.f64 2 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) (.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1/3)))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(exp.f64 (+.f64 (.f64 2 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1)))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)
(exp.f64 (+.f64 (.f64 -3 (log.f64 (log1p.f64 9))) (.f64 (*.f64 3 (log.f64 (atan2.f64 im re))) 1)))
(pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3)

localize21.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
✓	0.8b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 39 to 29 computations (25.6% saved)

series35.0ms (0.8%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
31.0ms	re	@	-inf	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
1.0ms	im	@	0	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
1.0ms	re	@	0	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
0.0ms	re	@	inf	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
0.0ms	im	@	-inf	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))

rewrite60.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

503×	`log-prod_binary64`
388×	`prod-exp_binary64`
387×	`exp-prod_binary64`
292×	`pow-prod-down_binary64`
259×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	222	20
2	2718	20

Stop Event

1×	node limit

Counts

2 → 153

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (sqrt.f64 (log.f64 10)) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (sqrt.f64 (log.f64 10)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10))) (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (/.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (neg.f64 (sqrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (*.f64 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)) (neg.f64 (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (neg.f64 (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (log.f64 10)) (neg.f64 (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (neg.f64 (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (neg.f64 (atan2.f64 im re))) (pow.f64 (neg.f64 (sqrt.f64 (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (atan2.f64 im re)) 1) (*.f64 (neg.f64 (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (atan2.f64 im re) -1) (*.f64 (sqrt.f64 (log.f64 10)) (neg.f64 (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (atan2.f64 im re)) -1) (pow.f64 (neg.f64 (sqrt.f64 (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/4)) (pow.f64 (log.f64 10) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 1) (sqrt.f64 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (cbrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (neg.f64 (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)) (neg.f64 (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (log.f64 10) -1/2) (neg.f64 (atan2.f64 im re))) (neg.f64 (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) -1) (neg.f64 (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 3) (pow.f64 (log.f64 10) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (log.f64 10)) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)) (sqrt.f64 (log.f64 10))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 3) (pow.f64 (log.f64 10) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 10))) -1) (log.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -1/2 (log.f64 (log.f64 10))) 1) (log.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 -1/2 (log.f64 (log.f64 10))) (*.f64 (log.f64 (atan2.f64 im re)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 10))) -1) (*.f64 (log.f64 (atan2.f64 im re)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (*.f64 -1/2 (log.f64 (log.f64 10))) 1) (*.f64 (log.f64 (atan2.f64 im re)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 -1/2 (log.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (sqrt.f64 (log.f64 10))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (sqrt.f64 (log.f64 10))) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (atan2.f64 im re)) (*.f64 (*.f64 -1/2 (log.f64 (log.f64 10))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (*.f64 -1/2 (log.f64 (log.f64 10))) 1)))))))

simplify64.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

759×	`fma-def_binary64`
520×	`unswap-sqr_binary64`
333×	`distribute-rgt-in_binary64`
247×	`div-sub_binary64`
231×	`log-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	359	2486
1	827	2415
2	2654	2415

Stop Event

1×	node limit

Counts

201 → 176

Calls

Call 1

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

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

eval216.0ms (4.8%)

Compiler: Compiled 9472 to 6717 computations (29.1% saved)

prune141.0ms (3.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	652	9	661
Fresh	1	0	1
Picked	1	0	1
Done	2	3	5
Total	656	12	668

Error

Counts

668 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(pow.f64 (/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re))) -1)
▶	0.9b	(pow.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10)) -1)
	31.3b	(pow.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)) 2)
▶	0.2b	(pow.f64 (*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (atan2.f64 im re)))) -1)
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	0.9b	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (log1p.f64 9)))
✓	0.2b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	0.9b	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
	0.8b	(*.f64 (pow.f64 (log1p.f64 9) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))))
	31.6b	(sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2))
✓	5.8b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
▶	6.3b	(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 3) (pow.f64 (log.f64 1/10) 3)))

Compiler

Compiled 250 to 208 computations (16.8% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (neg.f64 (atan2.f64 im re)))
✓	0.1b	(pow.f64 (*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (atan2.f64 im re)))) -1)
✓	0.9b	(*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (atan2.f64 im re))))
	1.0b	(log.f64 1/10)

Compiler

Compiled 42 to 23 computations (45.2% saved)

series13.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

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

rewrite52.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`pow1_binary64`
874×	`add-log-exp_binary64`
872×	`log1p-expm1-u_binary64`
872×	`expm1-log1p-u_binary64`
115×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	242	25
2	2835	25

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 1/10) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 1/10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 1/10) 1) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 1/10) -1) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 1/10) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log.f64 1/10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 1/10) -1) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (/.f64 1 (atan2.f64 im re)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3) (pow.f64 (log.f64 1/10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 1/10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2))) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) -1/2) (pow.f64 (atan2.f64 im re) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) -1) (pow.f64 (cbrt.f64 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) -1) (pow.f64 (sqrt.f64 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 im re) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 im re) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 im re) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (atan2.f64 im re))))))))

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

647×	`times-frac_binary64`
559×	`fma-def_binary64`
538×	`log-div_binary64`
416×	`unswap-sqr_binary64`
321×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	1426
1	313	1420
2	1121	1414
3	6970	1414

Stop Event

1×	node limit

Counts

143 → 82

Calls

Call 1

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

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

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
✓	0.8b	(/.f64 (log1p.f64 9) (atan2.f64 im re))

Compiler

Compiled 25 to 15 computations (40% saved)

series26.0ms (0.6%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
15.0ms	im	@	0	(/.f64 (log1p.f64 9) (atan2.f64 im re))
6.0ms	re	@	0	(/.f64 (log1p.f64 9) (atan2.f64 im re))
0.0ms	im	@	inf	(/.f64 (log1p.f64 9) (atan2.f64 im re))
0.0ms	re	@	inf	(/.f64 (log1p.f64 9) (atan2.f64 im re))
0.0ms	im	@	-inf	(/.f64 (log1p.f64 9) (atan2.f64 im re))

rewrite55.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

837×	`pow1_binary64`
777×	`add-log-exp_binary64`
777×	`expm1-log1p-u_binary64`
776×	`log1p-expm1-u_binary64`
759×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	185	18
2	2185	18

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (*.f64 (cbrt.f64 (log.f64 10)) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 10)) (*.f64 (sqrt.f64 (log.f64 10)) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) 1) (/.f64 (cbrt.f64 (log.f64 10)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 10)) 1) (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (log.f64 10) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (/.f64 (sqrt.f64 (log.f64 10)) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (atan2.f64 im re))) (/.f64 (log.f64 10) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2) (sqrt.f64 (atan2.f64 im re))) (/.f64 (cbrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 10) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 10) 3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (log.f64 1/10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 1/10)) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 10)) 1) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 10)) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))))

simplify63.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

822×	`log-prod_binary64`
766×	`log-div_binary64`
446×	`unswap-sqr_binary64`
425×	`fma-neg_binary64`
412×	`associate-/l*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	158	1073
1	384	1068
2	1299	1068
3	5778	1068

Stop Event

1×	node limit

Counts

115 → 75

Calls

Call 1

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

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

localize21.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (atan2.f64 im re))
✓	0.1b	(pow.f64 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10)) -1)
✓	0.9b	(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10))

Compiler

Compiled 35 to 22 computations (37.1% saved)

series6.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

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

rewrite57.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

931×	`pow1_binary64`
864×	`add-log-exp_binary64`
862×	`log1p-expm1-u_binary64`
862×	`expm1-log1p-u_binary64`
843×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	219	25
2	2441	25

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 9) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log1p.f64 9)) 2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log1p.f64 9)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log1p.f64 9)) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log1p.f64 9) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log1p.f64 9) 1) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log1p.f64 9) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log1p.f64 9)) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 9) -1) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log1p.f64 9) 3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3) (pow.f64 (log1p.f64 9) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log1p.f64 9) 3) (pow.f64 (/.f64 1 (atan2.f64 im re)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log1p.f64 9)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log1p.f64 9)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) -1) (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log1p.f64 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (log1p.f64 9)) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2)) (cbrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (/.f64 1 (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) -1/2) (pow.f64 (atan2.f64 im re) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) -1) (pow.f64 (cbrt.f64 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (atan2.f64 im re)) -1) (pow.f64 (sqrt.f64 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 im re) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 im re) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 im re) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (atan2.f64 im re))))))))

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

607×	`log-div_binary64`
484×	`unswap-sqr_binary64`
454×	`fma-def_binary64`
451×	`fma-neg_binary64`
359×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	147	1414
1	322	1219
2	1114	1030
3	6271	1030

Stop Event

1×	node limit

Counts

115 → 77

Calls

Call 1

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

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

localize20.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9)))
✓	0.8b	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (log1p.f64 9)))

Compiler

Compiled 31 to 21 computations (32.3% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	im	@	0	(/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9)))
1.0ms	re	@	0	(/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9)))
0.0ms	im	@	-inf	(/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9)))
0.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9)))
0.0ms	re	@	-inf	(/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9)))

rewrite326.0ms (7.2%)

Algorithm

1×	batch-egg-rewrite

Rules

941×	`pow1_binary64`
878×	`add-log-exp_binary64`
878×	`expm1-log1p-u_binary64`
877×	`log1p-expm1-u_binary64`
858×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	189	20
2	2398	20

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (*.f64 (pow.f64 (log.f64 10) -1/2) (pow.f64 (log.f64 10) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10))) (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (pow.f64 (log.f64 10) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (pow.f64 (log.f64 10) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))) (/.f64 1 (neg.f64 (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (/.f64 (pow.f64 (log.f64 10) -1/2) (cbrt.f64 (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10))) 1) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) 1) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (cbrt.f64 (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10))) (cbrt.f64 (log.f64 10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (cbrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (cbrt.f64 (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 1/4)) (/.f64 (pow.f64 (log.f64 10) -1/2) (pow.f64 (log.f64 10) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4)) (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10))) (pow.f64 (log.f64 10) 1/4)) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (pow.f64 (log.f64 10) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (neg.f64 (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 3) (pow.f64 (log.f64 10) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (neg.f64 (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) -1/2) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (cbrt.f64 (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (log.f64 10) 1/4)) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (cbrt.f64 (log.f64 10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (log.f64 10) 1/4)) (/.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (log.f64 10)) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))))))

simplify73.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

586×	`fma-def_binary64`
472×	`associate-/r*_binary64`
442×	`associate-*l/_binary64`
419×	`unswap-sqr_binary64`
409×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	1846
1	427	1754
2	1622	1703
3	7199	1703

Stop Event

1×	node limit

Counts

122 → 102

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

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(pow.f64 (neg.f64 (atan2.f64 im re)) 3)
	1.0b	(log.f64 1/10)
✓	1.6b	(pow.f64 (log.f64 1/10) 3)
✓	6.3b	(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 3) (pow.f64 (log.f64 1/10) 3)))

Compiler

Compiled 48 to 29 computations (39.6% saved)

series13.0ms (0.3%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	im	@	-inf	(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 3) (pow.f64 (log.f64 1/10) 3)))
2.0ms	im	@	0	(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 3) (pow.f64 (log.f64 1/10) 3)))
1.0ms	re	@	0	(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 3) (pow.f64 (log.f64 1/10) 3)))
1.0ms	re	@	-inf	(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 3) (pow.f64 (log.f64 1/10) 3)))
1.0ms	im	@	inf	(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (atan2.f64 im re)) 3) (pow.f64 (log.f64 1/10) 3)))

rewrite61.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

502×	`log-prod_binary64`
386×	`exp-prod_binary64`
271×	`pow-prod-down_binary64`
258×	`pow2_binary64`
210×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	261	22
2	3073	22

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (log.f64 1/10)) (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 1/10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 1/10) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (/.f64 (log.f64 1/10) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) (sqrt.f64 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 9) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 2)) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 1/10)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (*.f64 (log.f64 (log.f64 1/10)) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (log.f64 1/10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 1/10) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 1/10) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 1/10) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 1/10) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 1/10) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 1/10) (pow.f64 (log.f64 1/10) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 1/10) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 1/10) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 1/10) 2) (log.f64 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (*.f64 (cbrt.f64 (log.f64 1/10)) (pow.f64 (log.f64 1/10) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 1/10)) (pow.f64 (log.f64 1/10) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 1/10) 3/2) (pow.f64 (log.f64 1/10) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 1/10) 5/2) (sqrt.f64 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 1/10) 2) 1) (log.f64 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 1/10) (cbrt.f64 (log.f64 1/10))) 2) (cbrt.f64 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 1/10) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 1/10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 1/10) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 1/10) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 1/10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 1/10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 1/10))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (log.f64 1/10))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 1/10) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (log.f64 1/10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 1/10)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (log.f64 1/10))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 1/10)) 3/2) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (atan2.f64 im re) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (atan2.f64 im re) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 im re) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (pow.f64 (atan2.f64 im re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (atan2.f64 im re) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) 2) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (atan2.f64 im re) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) 3/2) (pow.f64 (atan2.f64 im re) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) 3/2) (neg.f64 (pow.f64 (atan2.f64 im re) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3/2)) (pow.f64 (atan2.f64 im re) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) 5/2) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (atan2.f64 im re) 2) 1) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 (atan2.f64 im re))) 2) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (atan2.f64 im re) 2) -1) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (pow.f64 (atan2.f64 im re) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (atan2.f64 im re) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 im re) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 im re) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 im re) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 im re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (atan2.f64 im re))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) 9)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (atan2.f64 im re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (*.f64 3 (log.f64 (atan2.f64 im re))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (atan2.f64 im re)) 3/2) 2))))))

simplify73.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

544×	`associate-/l*_binary64`
438×	`fma-neg_binary64`
390×	`fma-def_binary64`
354×	`associate-*l/_binary64`
310×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	304	4294969147
1	637	1836
2	1771	1836
3	7741	1836

Stop Event

1×	node limit

Counts

176 → 146

Calls

Call 1

Inputs
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(+.f64 0 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1)
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(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 1/10)))
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(*.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 -1 (/.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 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 1/10)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) -2) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(*.f64 (pow.f64 (log.f64 1/10) -1/2) (/.f64 (atan2.f64 im re) (sqrt.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 -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 (atan2.f64 im re) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 1/10) 3))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -3)))
(/.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 (atan2.f64 im re)) (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 1/10))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) (sqrt.f64 (log.f64 1/10)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (log.f64 1/10)))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 6) 1/6)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 9) 1/9)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 2) 1/2)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3/2) 2/3)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -3) -1/3)
(pow.f64 (exp.f64 1/3) (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(pow.f64 (exp.f64 1) (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -3)) -1)
(pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 2)) (cbrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))) (sqrt.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(sqrt.f64 (pow.f64 (/.f64 (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)))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(log1p.f64 (expm1.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 (.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 2))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1) 1/3))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))) 1/3) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1) 1))
(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 1/10))))
(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 1/10)) 1)))
(exp.f64 (-.f64 (.f64 (log.f64 (atan2.f64 im re)) 1) (.f64 (log.f64 (log.f64 1/10)) 1)))
(+.f64 0 (pow.f64 (log.f64 1/10) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 1/10) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 1/10) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 1/10) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 1/10) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 1/10) 3))) 1)
(*.f64 (log.f64 1/10) (pow.f64 (log.f64 1/10) 2))
(*.f64 (pow.f64 (log.f64 1/10) 3) 1)
(*.f64 1 (pow.f64 (log.f64 1/10) 3))
(*.f64 (pow.f64 (log.f64 1/10) 2) (log.f64 1/10))
(.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (.f64 (cbrt.f64 (log.f64 1/10)) (pow.f64 (log.f64 1/10) 2)))
(*.f64 (sqrt.f64 (log.f64 1/10)) (pow.f64 (log.f64 1/10) 5/2))
(*.f64 (pow.f64 (log.f64 1/10) 3/2) (pow.f64 (log.f64 1/10) 3/2))
(*.f64 (pow.f64 (log.f64 1/10) 5/2) (sqrt.f64 (log.f64 1/10)))
(.f64 (.f64 (pow.f64 (log.f64 1/10) 2) 1) (log.f64 1/10))
(.f64 (pow.f64 (.f64 (log.f64 1/10) (cbrt.f64 (log.f64 1/10))) 2) (cbrt.f64 (log.f64 1/10)))
(sqrt.f64 (pow.f64 (log.f64 1/10) 6))
(log.f64 (exp.f64 (pow.f64 (log.f64 1/10) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 1/10) 3))))
(cbrt.f64 (pow.f64 (log.f64 1/10) 9))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 1/10) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 1/10) 3)))
(exp.f64 (*.f64 3 (log.f64 (log.f64 1/10))))
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 1/10))) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 1/10))) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 1/10) 9)) 1/3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (log.f64 1/10))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 1/10)) 1) 3))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (log.f64 1/10))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 1/10)) 3/2) 2))
(+.f64 0 (pow.f64 (atan2.f64 im re) 3))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))))
(-.f64 0 (pow.f64 (atan2.f64 im re) 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 im re) 3))) 1)
(*.f64 (atan2.f64 im re) (pow.f64 (atan2.f64 im re) 2))
(*.f64 (pow.f64 (atan2.f64 im re) 3) 1)
(*.f64 1 (pow.f64 (atan2.f64 im re) 3))
(*.f64 (pow.f64 (atan2.f64 im re) 2) (atan2.f64 im re))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) 2)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) 5/2))
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(*.f64 (pow.f64 (atan2.f64 im re) 3/2) (pow.f64 (atan2.f64 im re) 3/2))
(*.f64 (pow.f64 (atan2.f64 im re) 3/2) (neg.f64 (pow.f64 (atan2.f64 im re) 3/2)))
(*.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3/2)) (pow.f64 (atan2.f64 im re) 3/2))
(*.f64 (pow.f64 (atan2.f64 im re) 5/2) (sqrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (pow.f64 (atan2.f64 im re) 2) 1) (atan2.f64 im re))
(.f64 (pow.f64 (.f64 (atan2.f64 im re) (cbrt.f64 (atan2.f64 im re))) 2) (cbrt.f64 (atan2.f64 im re)))
(.f64 (.f64 (pow.f64 (atan2.f64 im re) 2) -1) (atan2.f64 im re))
(neg.f64 (pow.f64 (atan2.f64 im re) 3))
(sqrt.f64 (pow.f64 (atan2.f64 im re) 6))
(log.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 im re) 3))))
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 im re) 3)))))
(cbrt.f64 (pow.f64 (atan2.f64 im re) 9))
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 im re) 3)))
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 im re) 3)))
(exp.f64 (*.f64 3 (log.f64 (atan2.f64 im re))))
(exp.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 im re))) 1))
(exp.f64 (.f64 (.f64 2 (log.f64 (atan2.f64 im re))) 3/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) 9)) 1/3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (atan2.f64 im re))) 2))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 im re)) 1) 3))
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (atan2.f64 im re))) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 im re)) 3/2) 2))

Outputs
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (cbrt.f64 -1) (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (/.f64 (cbrt.f64 -1) (log.f64 1/10)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 -1) (log.f64 1/10)))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (cbrt.f64 -1) (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (/.f64 (cbrt.f64 -1) (log.f64 1/10)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 -1) (log.f64 1/10)))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (cbrt.f64 -1) (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (/.f64 (cbrt.f64 -1) (log.f64 1/10)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 -1) (log.f64 1/10)))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (cbrt.f64 -1) (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (/.f64 (cbrt.f64 -1) (log.f64 1/10)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 -1) (log.f64 1/10)))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (cbrt.f64 -1) (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (/.f64 (cbrt.f64 -1) (log.f64 1/10)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 -1) (log.f64 1/10)))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (cbrt.f64 -1) (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (/.f64 (cbrt.f64 -1) (log.f64 1/10)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 -1) (log.f64 1/10)))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (cbrt.f64 -1) (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (/.f64 (cbrt.f64 -1) (log.f64 1/10)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 -1) (log.f64 1/10)))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (cbrt.f64 -1) (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(*.f64 (/.f64 (cbrt.f64 -1) (log.f64 1/10)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 -1) (log.f64 1/10)))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 1/10))
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(exp.f64 (-.f64 (*.f64 (log.f64 (atan2.f64 im re)) 1) (log.f64 (log.f64 1/10))))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (*.f64 (log.f64 (log.f64 1/10)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(exp.f64 (-.f64 (.f64 (log.f64 (atan2.f64 im re)) 1) (.f64 (log.f64 (log.f64 1/10)) 1)))
(/.f64 (atan2.f64 im re) (log.f64 1/10))
(+.f64 0 (pow.f64 (log.f64 1/10) 3))
(pow.f64 (log.f64 1/10) 3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 1/10) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 1/10) 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (log.f64 1/10) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 1/10) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 1/10) 3)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (log.f64 1/10) 3)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 1/10) 3))) 1)
(pow.f64 (log.f64 1/10) 3)
(*.f64 (log.f64 1/10) (pow.f64 (log.f64 1/10) 2))
(pow.f64 (log.f64 1/10) 3)
(*.f64 (pow.f64 (log.f64 1/10) 3) 1)
(pow.f64 (log.f64 1/10) 3)
(*.f64 1 (pow.f64 (log.f64 1/10) 3))
(pow.f64 (log.f64 1/10) 3)
(*.f64 (pow.f64 (log.f64 1/10) 2) (log.f64 1/10))
(pow.f64 (log.f64 1/10) 3)
(.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (.f64 (cbrt.f64 (log.f64 1/10)) (pow.f64 (log.f64 1/10) 2)))
(pow.f64 (log.f64 1/10) 3)
(*.f64 (sqrt.f64 (log.f64 1/10)) (pow.f64 (log.f64 1/10) 5/2))
(*.f64 (pow.f64 (log.f64 1/10) 3/2) (pow.f64 (log.f64 1/10) 3/2))
(pow.f64 (log.f64 1/10) 3)
(*.f64 (pow.f64 (log.f64 1/10) 5/2) (sqrt.f64 (log.f64 1/10)))
(*.f64 (sqrt.f64 (log.f64 1/10)) (pow.f64 (log.f64 1/10) 5/2))
(.f64 (.f64 (pow.f64 (log.f64 1/10) 2) 1) (log.f64 1/10))
(pow.f64 (log.f64 1/10) 3)
(.f64 (pow.f64 (.f64 (log.f64 1/10) (cbrt.f64 (log.f64 1/10))) 2) (cbrt.f64 (log.f64 1/10)))
(pow.f64 (log.f64 1/10) 3)
(sqrt.f64 (pow.f64 (log.f64 1/10) 6))
(pow.f64 (log.f64 1/10) 3)
(log.f64 (exp.f64 (pow.f64 (log.f64 1/10) 3)))
(pow.f64 (log.f64 1/10) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 1/10) 3))))
(pow.f64 (log.f64 1/10) 3)
(cbrt.f64 (pow.f64 (log.f64 1/10) 9))
(pow.f64 (log.f64 1/10) 3)
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 1/10) 3)))
(pow.f64 (log.f64 1/10) 3)
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 1/10) 3)))
(pow.f64 (log.f64 1/10) 3)
(exp.f64 (*.f64 3 (log.f64 (log.f64 1/10))))
(pow.f64 (log.f64 1/10) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (log.f64 1/10))) 1))
(pow.f64 (log.f64 1/10) 3)
(exp.f64 (.f64 (.f64 2 (log.f64 (log.f64 1/10))) 3/2))
(pow.f64 (log.f64 1/10) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 1/10) 9)) 1/3))
(pow.f64 (log.f64 1/10) 3)
(exp.f64 (.f64 (.f64 3/2 (log.f64 (log.f64 1/10))) 2))
(pow.f64 (log.f64 1/10) 3)
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 1/10)) 1) 3))
(pow.f64 (log.f64 1/10) 3)
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (log.f64 1/10))) 1) 1))
(pow.f64 (log.f64 1/10) 3)
(exp.f64 (.f64 (.f64 (log.f64 (log.f64 1/10)) 3/2) 2))
(pow.f64 (log.f64 1/10) 3)
(+.f64 0 (pow.f64 (atan2.f64 im re) 3))
(pow.f64 (atan2.f64 im re) 3)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))))
(-.f64 0 (pow.f64 (atan2.f64 im re) 3))
(neg.f64 (pow.f64 (atan2.f64 im re) 3))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (atan2.f64 im re) 3))) 1)
(pow.f64 (atan2.f64 im re) 3)
(*.f64 (atan2.f64 im re) (pow.f64 (atan2.f64 im re) 2))
(pow.f64 (atan2.f64 im re) 3)
(*.f64 (pow.f64 (atan2.f64 im re) 3) 1)
(pow.f64 (atan2.f64 im re) 3)
(*.f64 1 (pow.f64 (atan2.f64 im re) 3))
(pow.f64 (atan2.f64 im re) 3)
(*.f64 (pow.f64 (atan2.f64 im re) 2) (atan2.f64 im re))
(pow.f64 (atan2.f64 im re) 3)
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) 2)))
(pow.f64 (atan2.f64 im re) 3)
(*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) 5/2))
(*.f64 -1 (pow.f64 (atan2.f64 im re) 3))
(neg.f64 (pow.f64 (atan2.f64 im re) 3))
(*.f64 (pow.f64 (atan2.f64 im re) 3/2) (pow.f64 (atan2.f64 im re) 3/2))
(pow.f64 (atan2.f64 im re) 3)
(*.f64 (pow.f64 (atan2.f64 im re) 3/2) (neg.f64 (pow.f64 (atan2.f64 im re) 3/2)))
(neg.f64 (pow.f64 (atan2.f64 im re) 3))
(*.f64 (neg.f64 (pow.f64 (atan2.f64 im re) 3/2)) (pow.f64 (atan2.f64 im re) 3/2))
(neg.f64 (pow.f64 (atan2.f64 im re) 3))
(*.f64 (pow.f64 (atan2.f64 im re) 5/2) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) 5/2))
(.f64 (.f64 (pow.f64 (atan2.f64 im re) 2) 1) (atan2.f64 im re))
(pow.f64 (atan2.f64 im re) 3)
(.f64 (pow.f64 (.f64 (atan2.f64 im re) (cbrt.f64 (atan2.f64 im re))) 2) (cbrt.f64 (atan2.f64 im re)))
(pow.f64 (atan2.f64 im re) 3)
(.f64 (.f64 (pow.f64 (atan2.f64 im re) 2) -1) (atan2.f64 im re))
(neg.f64 (pow.f64 (atan2.f64 im re) 3))
(neg.f64 (pow.f64 (atan2.f64 im re) 3))
(sqrt.f64 (pow.f64 (atan2.f64 im re) 6))
(pow.f64 (atan2.f64 im re) 3)
(log.f64 (exp.f64 (pow.f64 (atan2.f64 im re) 3)))
(pow.f64 (atan2.f64 im re) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 im re) 3))))
(pow.f64 (atan2.f64 im re) 3)
(log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (pow.f64 (atan2.f64 im re) 3)))))
(neg.f64 (pow.f64 (atan2.f64 im re) 3))
(cbrt.f64 (pow.f64 (atan2.f64 im re) 9))
(pow.f64 (atan2.f64 im re) 3)
(expm1.f64 (log1p.f64 (pow.f64 (atan2.f64 im re) 3)))
(pow.f64 (atan2.f64 im re) 3)
(log1p.f64 (expm1.f64 (pow.f64 (atan2.f64 im re) 3)))
(pow.f64 (atan2.f64 im re) 3)
(exp.f64 (*.f64 3 (log.f64 (atan2.f64 im re))))
(pow.f64 (atan2.f64 im re) 3)
(exp.f64 (.f64 (.f64 3 (log.f64 (atan2.f64 im re))) 1))
(pow.f64 (atan2.f64 im re) 3)
(exp.f64 (.f64 (.f64 2 (log.f64 (atan2.f64 im re))) 3/2))
(pow.f64 (atan2.f64 im re) 3)
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) 9)) 1/3))
(pow.f64 (atan2.f64 im re) 3)
(exp.f64 (.f64 (.f64 3/2 (log.f64 (atan2.f64 im re))) 2))
(pow.f64 (atan2.f64 im re) 3)
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 im re)) 1) 3))
(pow.f64 (atan2.f64 im re) 3)
(exp.f64 (.f64 (.f64 (*.f64 3 (log.f64 (atan2.f64 im re))) 1) 1))
(pow.f64 (atan2.f64 im re) 3)
(exp.f64 (.f64 (.f64 (log.f64 (atan2.f64 im re)) 3/2) 2))
(pow.f64 (atan2.f64 im re) 3)

eval148.0ms (3.3%)

Compiler: Compiled 6977 to 4870 computations (30.2% saved)

prune84.0ms (1.8%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	513	5	518
Fresh	3	1	4
Picked	1	0	1
Done	2	5	7
Total	519	11	530

Error

Counts

530 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.3b	(pow.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)) 2)
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	0.9b	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (log1p.f64 9)))
✓	0.2b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	0.9b	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
▶	0.9b	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10)))
▶	0.2b	(/.f64 1 (*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (atan2.f64 im re)))))
▶	0.2b	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
	0.8b	(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))
▶	31.6b	(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -2))
✓	5.8b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))

Compiler

Compiled 197 to 163 computations (17.3% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (neg.f64 (atan2.f64 im re)))
✓	0.1b	(/.f64 1 (*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (atan2.f64 im re)))))
	0.9b	(*.f64 (log.f64 1/10) (/.f64 1 (neg.f64 (atan2.f64 im re))))
	1.0b	(log.f64 1/10)

Compiler

Compiled 41 to 22 computations (46.3% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

892×	`pow1_binary64`
824×	`add-log-exp_binary64`
824×	`log1p-expm1-u_binary64`
824×	`expm1-log1p-u_binary64`
805×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	14
1	224	9
2	2770	9

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 1/10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 1/10)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) -1) (/.f64 1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (log.f64 1/10)) 1) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (log.f64 1/10)) -1) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))))))

simplify39.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

577×	`associate-/r/_binary64`
488×	`log-prod_binary64`
436×	`associate-l_binary64`
387×	`associate-r_binary64`
255×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	649
1	143	583
2	571	514
3	3952	511

Stop Event

1×	node limit

Counts

49 → 34

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

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

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	0.8b	(/.f64 (log.f64 1/10) (atan2.f64 im re))
	1.0b	(log.f64 1/10)

Compiler

Compiled 25 to 15 computations (40% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	re	@	0	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
0.0ms	re	@	inf	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
0.0ms	im	@	0	(/.f64 (log.f64 1/10) (atan2.f64 im re))
0.0ms	im	@	0	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
0.0ms	im	@	inf	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))

rewrite49.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

879×	`pow1_binary64`
813×	`add-log-exp_binary64`
813×	`log1p-expm1-u_binary64`
813×	`expm1-log1p-u_binary64`
796×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	184	20
2	2235	20

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 1/10) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (*.f64 (cbrt.f64 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 1/10)) (*.f64 (sqrt.f64 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (/.f64 1 (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) 1) (/.f64 (cbrt.f64 (log.f64 1/10)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 1/10)) 1) (/.f64 (sqrt.f64 (log.f64 1/10)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (/.f64 (log.f64 1/10) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 1/10)) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (/.f64 (sqrt.f64 (log.f64 1/10)) (cbrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (atan2.f64 im re))) (/.f64 (log.f64 1/10) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 1/10 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 1/10) 3) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 1/10) (atan2.f64 im re))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (log.f64 1/10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (log.f64 10)) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (log.f64 1/10)) 1) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (log.f64 1/10)) (cbrt.f64 (pow.f64 (atan2.f64 im re) 2))) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 -1 (log.f64 1/10)) (sqrt.f64 (atan2.f64 im re))) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))))))

simplify49.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

587×	`log-prod_binary64`
477×	`fma-neg_binary64`
436×	`fma-def_binary64`
387×	`unswap-sqr_binary64`
367×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	1085
1	310	979
2	1087	804
3	5121	804

Stop Event

1×	node limit

Counts

82 → 74

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

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

localize16.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (atan2.f64 im re))
✓	0.1b	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10)))
	0.9b	(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10))

Compiler

Compiled 34 to 21 computations (38.2% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite42.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`pow1_binary64`
817×	`add-log-exp_binary64`
817×	`log1p-expm1-u_binary64`
817×	`expm1-log1p-u_binary64`
798×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	201	9
2	2368	9

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (pow.f64 (log.f64 10) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (/.f64 (neg.f64 (log.f64 10)) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) -1) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))))

simplify35.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

580×	`associate-/l*_binary64`
485×	`log-prod_binary64`
395×	`associate-l_binary64`
349×	`associate-r_binary64`
317×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	461
1	134	461
2	483	458
3	3082	455

Stop Event

1×	node limit

Counts

48 → 29

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

localize16.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -2)
	0.8b	(/.f64 (log1p.f64 9) (atan2.f64 im re))
✓	3.6b	(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -2))

Compiler

Compiled 34 to 21 computations (38.2% saved)

series6.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	im	@	inf	(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -2))
1.0ms	im	@	-inf	(pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -2)
1.0ms	im	@	inf	(pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -2)
1.0ms	im	@	0	(pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -2)
1.0ms	re	@	inf	(pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -2)

rewrite51.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

924×	`pow1_binary64`
864×	`add-log-exp_binary64`
863×	`expm1-log1p-u_binary64`
862×	`log1p-expm1-u_binary64`
843×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	210	21
2	2409	21

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -4))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) -1) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) 1) (/.f64 (cbrt.f64 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) 2)) (sqrt.f64 (log.f64 10))) (/.f64 (cbrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10))))))) (#(struct:change 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cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 10) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (/.f64 (atan2.f64 im re) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) (*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -4)) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) -2) (pow.f64 (/.f64 1 (atan2.f64 im re)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2) -2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -2) (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))))))

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

667×	`unswap-sqr_binary64`
548×	`times-frac_binary64`
497×	`fma-def_binary64`
446×	`fma-neg_binary64`
359×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	154	1437
1	346	1314
2	1147	1301
3	7030	1301

Stop Event

1×	node limit

Counts

109 → 74

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

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

localize23.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))
✓	0.2b	(pow.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)) 2)
✓	3.8b	(sqrt.f64 (atan2.f64 im re))

Compiler

Compiled 40 to 25 computations (37.5% saved)

series11.0ms (0.2%)

Counts

3 → 48

Calls

18 calls:

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

rewrite53.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

469×	`log-prod_binary64`
378×	`prod-exp_binary64`
355×	`exp-prod_binary64`
277×	`pow-prod-down_binary64`
276×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	37
1	248	32
2	2643	32

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 im re)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) 1/6) (cbrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) 1/4) (pow.f64 (atan2.f64 im re) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (atan2.f64 im re) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 im re) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 im re) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 im re) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 im re) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (atan2.f64 im re)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (atan2.f64 im re) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (atan2.f64 im re)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (atan2.f64 im re))))) (sqrt.f64 (log.f64 (sqrt.f64 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (atan2.f64 im re) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3/2 (log.f64 (atan2.f64 im re))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (atan2.f64 im re))) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (atan2.f64 im re)) (*.f64 (pow.f64 (log.f64 10) -1/2) (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 10) -1/2) (pow.f64 (*.f64 (atan2.f64 im re) (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) -2))) (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))) (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (atan2.f64 im re) 1/4) (pow.f64 (log.f64 10) -1/4)) (pow.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)) 3/2) (*.f64 (pow.f64 (atan2.f64 im re) 1/4) (pow.f64 (log.f64 10) -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (atan2.f64 im re)) 1/2) (pow.f64 (log.f64 10) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)) (pow.f64 (log.f64 10) -1/2)) (sqrt.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) 5/6) (*.f64 (pow.f64 (atan2.f64 im re) 1/6) (pow.f64 (log.f64 10) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 10) -1/2) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 10) -1/2) 6) (pow.f64 (atan2.f64 im re) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))) 3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3/2) (pow.f64 (log.f64 10) -3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (atan2.f64 im re) 1/6) (pow.f64 (log.f64 10) -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (atan2.f64 im re) 1/4) (pow.f64 (log.f64 10) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))) (sqrt.f64 (log.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3/2) (pow.f64 (log.f64 10) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3/2) (pow.f64 (log.f64 10) -3/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (atan2.f64 im re) 1/6) (pow.f64 (log.f64 10) -1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (atan2.f64 im re) 1/4) (pow.f64 (log.f64 10) -1/4))) 2))))))

simplify65.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

604×	`fma-def_binary64`
521×	`log-prod_binary64`
507×	`unswap-sqr_binary64`
333×	`exp-prod_binary64`
327×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	204	1479
1	459	1432
2	1324	1412
3	5291	1408

Stop Event

1×	node limit

Counts

131 → 103

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

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 0 (sqrt.f64 (atan2.f64 im re)))
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(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 im re)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 im re))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 im re))))))
(*.f64 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (atan2.f64 im re))))) 3)
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(sqrt.f64 (atan2.f64 im re))
(-.f64 (+.f64 1 (sqrt.f64 (atan2.f64 im re))) 1)
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(*.f64 (pow.f64 (atan2.f64 im re) 1/6) (cbrt.f64 (atan2.f64 im re)))
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(*.f64 (cbrt.f64 (atan2.f64 im re)) (pow.f64 (atan2.f64 im re) 1/6))
(sqrt.f64 (atan2.f64 im re))
(*.f64 (pow.f64 (atan2.f64 im re) 1/4) (pow.f64 (atan2.f64 im re) 1/4))
(sqrt.f64 (atan2.f64 im re))
(pow.f64 (atan2.f64 im re) 1/2)
(sqrt.f64 (atan2.f64 im re))
(pow.f64 (sqrt.f64 (atan2.f64 im re)) 1)
(sqrt.f64 (atan2.f64 im re))
(pow.f64 (pow.f64 (atan2.f64 im re) 3/2) 1/3)
(sqrt.f64 (atan2.f64 im re))
(pow.f64 (pow.f64 (atan2.f64 im re) 2) 1/4)
(sqrt.f64 (atan2.f64 im re))
(pow.f64 (pow.f64 (atan2.f64 im re) 3) 1/6)
(sqrt.f64 (atan2.f64 im re))
(pow.f64 (pow.f64 (atan2.f64 im re) 1/6) 3)
(sqrt.f64 (atan2.f64 im re))
(pow.f64 (cbrt.f64 (atan2.f64 im re)) 3/2)
(sqrt.f64 (atan2.f64 im re))
(pow.f64 (pow.f64 (atan2.f64 im re) 1/4) 2)
(sqrt.f64 (atan2.f64 im re))
(pow.f64 (exp.f64 1/2) (log.f64 (atan2.f64 im re)))
(sqrt.f64 (atan2.f64 im re))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (atan2.f64 im re))))
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(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (atan2.f64 im re)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (atan2.f64 im re)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (atan2.f64 im re))))) (sqrt.f64 (log.f64 (sqrt.f64 (atan2.f64 im re)))))
(fabs.f64 (sqrt.f64 (atan2.f64 im re)))
(sqrt.f64 (atan2.f64 im re))
(log.f64 (exp.f64 (sqrt.f64 (atan2.f64 im re))))
(sqrt.f64 (atan2.f64 im re))
(cbrt.f64 (pow.f64 (atan2.f64 im re) 3/2))
(sqrt.f64 (atan2.f64 im re))
(expm1.f64 (log1p.f64 (sqrt.f64 (atan2.f64 im re))))
(sqrt.f64 (atan2.f64 im re))
(log1p.f64 (expm1.f64 (sqrt.f64 (atan2.f64 im re))))
(sqrt.f64 (atan2.f64 im re))
(exp.f64 (log.f64 (sqrt.f64 (atan2.f64 im re))))
(sqrt.f64 (atan2.f64 im re))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (atan2.f64 im re))) 1/3))
(sqrt.f64 (atan2.f64 im re))
(exp.f64 (*.f64 (log.f64 (pow.f64 (atan2.f64 im re) 1/6)) 3))
(sqrt.f64 (atan2.f64 im re))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (atan2.f64 im re))) 2))
(sqrt.f64 (atan2.f64 im re))
(+.f64 0 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))) 2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (*.f64 2 (/.f64 1 (log.f64 10)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 2 (log.f64 10))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(-.f64 (+.f64 1 (*.f64 (atan2.f64 im re) (/.f64 1 (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 (sqrt.f64 (atan2.f64 im re)) (.f64 (pow.f64 (log.f64 10) -1/2) (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (pow.f64 (log.f64 10) -1/2) (pow.f64 (.f64 (atan2.f64 im re) (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))) 1/2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)) (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) 1)
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 1 (.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(*.f64 (/.f64 1 (log.f64 10)) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) -2))) (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) -2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 6)) (cbrt.f64 (/.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 (cbrt.f64 (.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))) (cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) -2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) -2))) (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) -2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 6)) (cbrt.f64 (/.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 (.f64 (pow.f64 (atan2.f64 im re) 1/4) (pow.f64 (log.f64 10) -1/4)) (pow.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)) 3/2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (pow.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)) 3/2) (*.f64 (pow.f64 (atan2.f64 im re) 1/4) (pow.f64 (log.f64 10) -1/4)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (pow.f64 (.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) (atan2.f64 im re)) 1/2) (pow.f64 (log.f64 10) -1/2))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)) (pow.f64 (log.f64 10) -1/2)) (sqrt.f64 (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(.f64 (pow.f64 (.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) 5/6) (*.f64 (pow.f64 (atan2.f64 im re) 1/6) (pow.f64 (log.f64 10) -1/6)))
(.f64 (pow.f64 (atan2.f64 im re) 1/6) (.f64 (pow.f64 (log.f64 10) -1/6) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 5/6)))
(.f64 (pow.f64 (atan2.f64 im re) 1/6) (.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 5/6) (pow.f64 (log.f64 10) -1/6)))
(sqrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 2) (pow.f64 (log.f64 10) -2)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(log.f64 (pow.f64 (exp.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(cbrt.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) 3))
(/.f64 (atan2.f64 im re) (log.f64 10))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (pow.f64 (log.f64 10) -1/2) 6)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 10) -1/2) 6) (pow.f64 (atan2.f64 im re) 3)))
(/.f64 (atan2.f64 im re) (log.f64 10))
(expm1.f64 (log1p.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(log1p.f64 (expm1.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))) 1/3))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))) 3))
(/.f64 (atan2.f64 im re) (log.f64 10))
(+.f64 0 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (atan2.f64 im re))) (pow.f64 (log.f64 10) -1/2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (atan2.f64 im re))) (pow.f64 (log.f64 10) -1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (atan2.f64 im re))) (pow.f64 (log.f64 10) -1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (+.f64 1 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))) 1)
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)) 1)
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) 1/2)
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (pow.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))) 3) 1/6)
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3/2) (pow.f64 (log.f64 10) -3/2)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3/2) (pow.f64 (log.f64 10) -3/2)))
(pow.f64 (*.f64 (pow.f64 (atan2.f64 im re) 1/6) (pow.f64 (log.f64 10) -1/6)) 3)
(*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (pow.f64 (log.f64 10) -1/6) 3))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (pow.f64 (log.f64 10) -1/12) 6))
(pow.f64 (cbrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))) 3/2)
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (*.f64 (pow.f64 (atan2.f64 im re) 1/4) (pow.f64 (log.f64 10) -1/4)) 2)
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (E.f64) (log.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))) 2)) (cbrt.f64 (log.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))) (sqrt.f64 (log.f64 (.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (sqrt.f64 (log.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(sqrt.f64 (*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10))))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(fabs.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2)))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(log.f64 (exp.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3/2) (pow.f64 (log.f64 10) -3/2)))
(expm1.f64 (log1p.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(log1p.f64 (expm1.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(exp.f64 (log.f64 (*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (log.f64 10) -1/2))))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(exp.f64 (.f64 (log.f64 (.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))) 1/2))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (atan2.f64 im re) 3/2) (pow.f64 (log.f64 10) -3/2))) 1/3))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3/2) (pow.f64 (log.f64 10) -3/2)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (atan2.f64 im re) 1/6) (pow.f64 (log.f64 10) -1/6))) 3))
(pow.f64 (*.f64 (pow.f64 (atan2.f64 im re) 1/6) (pow.f64 (log.f64 10) -1/6)) 3)
(*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (pow.f64 (log.f64 10) -1/6) 3))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (pow.f64 (log.f64 10) -1/12) 6))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (atan2.f64 im re) 1/4) (pow.f64 (log.f64 10) -1/4))) 2))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))

eval136.0ms (3%)

Compiler: Compiled 6486 to 4411 computations (32% saved)

prune77.0ms (1.7%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	487	2	489
Fresh	0	1	1
Picked	1	0	1
Done	1	8	9
Total	489	11	500

Error

Counts

500 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	0.9b	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (log1p.f64 9)))
✓	0.2b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	0.9b	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
✓	0.9b	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10)))
	0.2b	(/.f64 1 (*.f64 (log.f64 1/10) (/.f64 -1 (atan2.f64 im re))))
✓	0.2b	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
	0.8b	(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))
✓	31.6b	(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)) -2))
	34.1b	(sqrt.f64 (sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -4)))
✓	5.8b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))

Compiler

Compiled 122 to 100 computations (18% saved)

regimes45.0ms (1%)

Accuracy

Total -35.6b remaining (-21310.7%)

Threshold costs -35.6b (-21310.7%)

Counts

23 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	re
11.0ms	im
6.0ms	(atan2.f64 im re)
4.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
4.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))

Results

Error	Segments	Branch
0.2b	1	`re`
0.2b	1	`im`
0.2b	1	`(/.f64 (atan2.f64 im re) (log.f64 10))`
0.2b	1	`(/.f64 (atan2.f64 im re) (log.f64 10))`
0.2b	1	`(atan2.f64 im re)`

Compiler

Compiled 262 to 178 computations (32.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
2×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	17	20
2	21	20
3	24	20
4	25	20

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)

soundness88.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

677×	`log-prod_binary64`
452×	`associate-l_binary64`
395×	`associate-r_binary64`
329×	`fma-def_binary64`
286×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	480
1	198	390
2	642	306
3	4181	306

Stop Event

1×	node limit

Compiler

Compiled 31 to 25 computations (19.4% saved)

end18.0ms (0.4%)

Compiler: Compiled 15 to 10 computations (33.3% saved)