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)

sample1.0s (29.4%)

Results

1.0s

8256×

body

256

valid

Bogosity

preprocess15.0ms (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)

simplify8.0ms (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

0.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 8 to 6 computations (25% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series31.0ms (0.9%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
8.0ms	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))

rewrite40.0ms (1.1%)

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))))))))

simplify38.0ms (1.1%)

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)

prune6.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Error

0.0b

Counts

37 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	0.8b	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	0.1b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	0.8b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 42 to 34 computations (19% saved)

localize24.0ms (0.7%)

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)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
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	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)))

rewrite75.0ms (2.1%)

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))) 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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 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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 (atan2.f64 im re) (log.f64 10)))) 3))))) 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Outputs

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

simplify75.0ms (2.1%)

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

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.8b	(/.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)

series27.0ms (0.8%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	im	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
6.0ms	re	@	0	(/.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	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))

rewrite64.0ms (1.8%)

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))))))))

simplify49.0ms (1.4%)

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)))
(+.f64 1 (-.f64 (log.f64 1/10) 1))
(+.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)
(+.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 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)))
(+.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 (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))
(+.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 (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))

localize13.0ms (0.4%)

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 (0.2%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	(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	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)

rewrite48.0ms (1.4%)

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))))))))

simplify66.0ms (1.9%)

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))
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(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))

eval127.0ms (3.6%)

Compiler: Compiled 4614 to 3319 computations (28.1% saved)

prune47.0ms (1.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	319	4	323
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	320	7	327

Error

Counts

327 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(pow.f64 (/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re))) -1)
✓	0.8b	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	0.9b	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
▶	1.3b	(/.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (atan2.f64 im re)))
✓	0.1b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	0.9b	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
✓	0.8b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 78 to 64 computations (17.9% saved)

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 15 computations (40% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite45.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`pow1_binary64`
778×	`add-log-exp_binary64`
778×	`log1p-expm1-u_binary64`
778×	`expm1-log1p-u_binary64`
760×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	182	9
2	2185	9

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

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) (/.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 (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))))))))

simplify44.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

366×	`log-prod_binary64`
351×	`log-div_binary64`
293×	`fma-def_binary64`
256×	`associate-/l*_binary64`
238×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	575
1	248	573
2	767	570
3	3404	567

Stop Event

1×	node limit

Counts

60 → 44

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

localize15.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 20 computations (33.3% saved)

series5.0ms (0.1%)

Counts

3 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	re	@	-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	@	-inf	(/.f64 1 (atan2.f64 im re))
0.0ms	im	@	0	(/.f64 1 (atan2.f64 im re))

rewrite55.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

945×	`pow1_binary64`
875×	`add-log-exp_binary64`
875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
102×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	208	22
2	2566	22

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

Outputs

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

simplify41.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

743×	`unswap-sqr_binary64`
682×	`associate-/r*_binary64`
546×	`associate-*l/_binary64`
397×	`associate-/l/_binary64`
220×	`associate-/r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1012
1	408	990
2	1674	980

Stop Event

1×	node limit

Counts

101 → 100

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

localize20.0ms (0.6%)

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 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))

Compiler

Compiled 31 to 21 computations (32.3% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite48.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

943×	`pow1_binary64`
879×	`add-log-exp_binary64`
879×	`log1p-expm1-u_binary64`
879×	`expm1-log1p-u_binary64`
859×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	9
1	186	9
2	2394	9

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

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

simplify49.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

478×	`associate-/l*_binary64`
413×	`log-prod_binary64`
391×	`times-frac_binary64`
382×	`log-div_binary64`
329×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	128	898
1	319	889
2	1058	889
3	5046	889

Stop Event

1×	node limit

Counts

67 → 58

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

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 31 to 16 computations (48.4% saved)

series27.0ms (0.8%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
19.0ms	re	@	inf	(/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re)))
1.0ms	re	@	-inf	(/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re)))
1.0ms	im	@	inf	(/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re)))
1.0ms	im	@	0	(/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re)))
1.0ms	im	@	-inf	(/.f64 (log.f64 1/10) (neg.f64 (atan2.f64 im re)))

rewrite58.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

846×	`pow1_binary64`
790×	`add-log-exp_binary64`
788×	`log1p-expm1-u_binary64`
788×	`expm1-log1p-u_binary64`
772×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	205	18
2	2544	18

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

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

Outputs

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

simplify79.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

642×	`fma-def_binary64`
626×	`log-div_binary64`
574×	`associate-/l*_binary64`
550×	`log-prod_binary64`
456×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	1686
1	405	1515
2	1315	1349
3	6163	1349

Stop Event

1×	node limit

Counts

127 → 91

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

eval135.0ms (3.8%)

Compiler: Compiled 6092 to 4293 computations (29.5% saved)

prune110.0ms (3.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	434	3	437
Fresh	0	0	0
Picked	1	0	1
Done	2	4	6
Total	437	7	444

Error

Counts

444 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	1.3b	(/.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (atan2.f64 im re)))
▶	0.1b	(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
▶	0.8b	(/.f64 (sqrt.f64 (pow.f64 (log.f64 10) -2)) (/.f64 1 (atan2.f64 im re)))
✓	0.1b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	0.9b	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
▶	0.1b	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))

Compiler

Compiled 74 to 60 computations (18.9% saved)

localize12.0ms (0.4%)

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)

series4.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite50.0ms (1.4%)

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)))))))))

simplify52.0ms (1.5%)

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

localize23.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (atan2.f64 im re))
✓	0.8b	(/.f64 (sqrt.f64 (pow.f64 (log.f64 10) -2)) (/.f64 1 (atan2.f64 im re)))
✓	1.0b	(pow.f64 (log.f64 10) -2)

Compiler

Compiled 37 to 27 computations (27% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(/.f64 (sqrt.f64 (pow.f64 (log.f64 10) -2)) (/.f64 1 (atan2.f64 im re)))
0.0ms	im	@	-inf	(/.f64 (sqrt.f64 (pow.f64 (log.f64 10) -2)) (/.f64 1 (atan2.f64 im re)))
0.0ms	re	@	inf	(/.f64 (sqrt.f64 (pow.f64 (log.f64 10) -2)) (/.f64 1 (atan2.f64 im re)))
0.0ms	im	@	inf	(/.f64 (sqrt.f64 (pow.f64 (log.f64 10) -2)) (/.f64 1 (atan2.f64 im re)))
0.0ms	re	@	0	(/.f64 (sqrt.f64 (pow.f64 (log.f64 10) -2)) (/.f64 1 (atan2.f64 im re)))

rewrite96.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

494×	`log-prod_binary64`
384×	`exp-prod_binary64`
359×	`prod-exp_binary64`
284×	`pow2_binary64`
264×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	247	18
2	2828	18

Stop Event

1×	node limit

Counts

2 → 127

Calls

Call 1

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

Outputs

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

simplify72.0ms (2%)

Algorithm

1×	egg-herbie

Rules

363×	`associate-/l*_binary64`
304×	`fma-neg_binary64`
268×	`log-prod_binary64`
259×	`cube-prod_binary64`
251×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	315	1523
1	776	1466
2	1821	1445
3	5655	1437

Stop Event

1×	node limit

Counts

151 → 153

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

localize32.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 31 to 21 computations (32.3% saved)

series5.0ms (0.1%)

Counts

3 → 24

Calls

12 calls:

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

rewrite66.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

482×	`log-prod_binary64`
384×	`exp-prod_binary64`
298×	`prod-exp_binary64`
260×	`pow2_binary64`
248×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	224	24
2	2745	24

Stop Event

1×	node limit

Counts

3 → 142

Calls

Call 1

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

Outputs

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

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

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

simplify65.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

545×	`associate-/r*_binary64`
460×	`fma-def_binary64`
368×	`associate-/l/_binary64`
353×	`associate-*l/_binary64`
313×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	323	1996
1	741	1914
2	2191	1866

Stop Event

1×	node limit

Counts

166 → 184

Calls

Call 1

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

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

eval163.0ms (4.6%)

Compiler: Compiled 6570 to 4670 computations (28.9% saved)

prune105.0ms (3%)

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	470	0	470
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	470	7	477

Error

Counts

477 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.8b	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	1.3b	(/.f64 (/.f64 1 (log.f64 10)) (/.f64 1 (atan2.f64 im re)))
✓	0.1b	(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
✓	0.8b	(/.f64 (sqrt.f64 (pow.f64 (log.f64 10) -2)) (/.f64 1 (atan2.f64 im re)))
✓	0.1b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	0.9b	(/.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))
✓	0.1b	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))

Compiler

Compiled 74 to 60 computations (18.9% saved)

regimes25.0ms (0.7%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
0.1b	1	`re`
0.1b	1	`im`
0.1b	1	`(/.f64 (atan2.f64 im re) (log.f64 10))`
0.1b	1	`(atan2.f64 im re)`

Compiler

Compiled 122 to 83 computations (32% saved)

regimes17.0ms (0.5%)

Accuracy

Total -0.8b remaining (-579.2%)

Threshold costs -0.8b (-579.2%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	im
4.0ms	re
2.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
2.0ms	(atan2.f64 im re)

Results

Error	Segments	Branch
0.1b	1	`re`
0.1b	1	`im`
0.1b	1	`(/.f64 (atan2.f64 im re) (log.f64 10))`
0.1b	1	`(atan2.f64 im re)`

Compiler

Compiled 50 to 33 computations (34% saved)

simplify4.0ms (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	16	35
1	22	35
2	26	35
3	29	35
4	30	35

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 29 to 23 computations (20.7% saved)

soundness124.0ms (3.5%)

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

Compiler

Compiled 31 to 25 computations (19.4% saved)

end26.0ms (0.7%)

Compiler: Compiled 25 to 17 computations (32% saved)

Details

analyze1.0ms (0%)

sample1.0s (29.4%)

preprocess15.0ms (0.4%)

simplify8.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.2%)

series31.0ms (0.9%)

rewrite40.0ms (1.1%)

simplify38.0ms (1.1%)

eval9.0ms (0.2%)

prune6.0ms (0.2%)

localize24.0ms (0.7%)

series5.0ms (0.1%)

rewrite75.0ms (2.1%)

simplify75.0ms (2.1%)

localize12.0ms (0.3%)

series27.0ms (0.8%)

rewrite64.0ms (1.8%)

simplify49.0ms (1.4%)

localize13.0ms (0.4%)

series7.0ms (0.2%)

rewrite48.0ms (1.4%)

simplify66.0ms (1.9%)

eval127.0ms (3.6%)

prune47.0ms (1.3%)

localize13.0ms (0.4%)

series2.0ms (0%)

rewrite45.0ms (1.3%)

simplify44.0ms (1.2%)

localize15.0ms (0.4%)

series5.0ms (0.1%)

rewrite55.0ms (1.5%)

simplify41.0ms (1.1%)

localize20.0ms (0.6%)

series2.0ms (0%)

rewrite48.0ms (1.4%)

simplify49.0ms (1.4%)

localize14.0ms (0.4%)

series27.0ms (0.8%)

rewrite58.0ms (1.6%)

simplify79.0ms (2.2%)

eval135.0ms (3.8%)

prune110.0ms (3.1%)

localize12.0ms (0.4%)

series4.0ms (0.1%)

rewrite50.0ms (1.4%)

simplify52.0ms (1.5%)

localize23.0ms (0.6%)

series2.0ms (0%)

rewrite96.0ms (2.7%)

simplify72.0ms (2%)

localize32.0ms (0.9%)

series5.0ms (0.1%)

rewrite66.0ms (1.9%)

simplify65.0ms (1.8%)

eval163.0ms (4.6%)

prune105.0ms (3%)

regimes25.0ms (0.7%)

regimes17.0ms (0.5%)

simplify4.0ms (0.1%)

soundness124.0ms (3.5%)

end26.0ms (0.7%)

Profiling