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)

sample1.1s (18%)

Results

1.1s

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
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)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.9b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series31.0ms (0.5%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
8.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	re	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	im	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite57.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1734×	`add-sqr-sqrt`
1712×	`*-un-lft-identity`
1596×	`add-cube-cbrt`
1576×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	178	17
2	2136	17

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs
((#(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 (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 1 (/.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 1/10))))))) (#(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 (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 (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 (/.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 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 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 (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 (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 (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 (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) (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 pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(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 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)))) (#(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 (/.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 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 expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))))

Outputs

((#(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 (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 1 (/.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 1/10))))))) (#(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 (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 (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 (/.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 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 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 (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 (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 (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 (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) (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 pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)))) (#(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 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)))) (#(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 (/.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 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 expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))))

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1430×	`associate-/r/`
1180×	`associate-r`
1158×	`distribute-lft-in`
1028×	`associate-l`
726×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	722
1	202	698
2	746	698
3	4387	698

Stop Event

1×	node limit

Counts

32 → 39

Calls

Call 1

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

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

eval11.0ms (0.2%)

Compiler: Compiled 450 to 288 computations (36% saved)

prune7.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Error

0.0b

Counts

40 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶	1.6b	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
✓	0.9b	(/.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)))
▶	0.1b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))

Compiler

Compiled 51 to 41 computations (19.6% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

series26.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	im	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
9.0ms	re	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
1.0ms	im	@	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))
1.0ms	im	@	-inf	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))

rewrite62.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1770×	`add-sqr-sqrt`
1746×	`*-un-lft-identity`
1630×	`add-cube-cbrt`
1610×	`add-cbrt-cube`
200×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	203	22
2	2604	22

Stop Event

1×	node limit

Counts

2 → 53

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

Outputs

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

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

simplify70.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1704×	`associate-+r+`
1036×	`associate-/r*`
966×	`associate-*r/`
938×	`times-frac`
874×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	116	1289
1	252	1283
2	1383	1283
3	7530	1283

Stop Event

1×	node limit

Counts

77 → 59

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

localize20.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1546×	`associate-/l*`
1340×	`associate-*r/`
1014×	`*-commutative`
964×	`associate-*l/`
320×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	222	38
2	2843	38

Stop Event

1×	node limit

Counts

2 → 125

Calls

Call 1

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

Outputs

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

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1204×	`unswap-sqr`
1204×	`associate-/r*`
1180×	`associate-/l/`
832×	`*-commutative`
652×	`associate-/r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	249	5551
1	604	5345
2	2412	5311

Stop Event

1×	node limit

Counts

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

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

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	0.9b	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
✓	3.9b	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))

Compiler

Compiled 33 to 20 computations (39.4% saved)

series12.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite92.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`*-commutative`
674×	`unswap-sqr`
656×	`associate-*r/`
624×	`associate-/r*`
538×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	246	38
2	2688	38

Stop Event

1×	node limit

Counts

2 → 215

Calls

Call 1

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

Outputs

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

simplify129.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1358×	`associate-*r/`
1318×	`associate-/r/`
1234×	`distribute-rgt-in`
1224×	`distribute-lft-in`
1008×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	460	9637
1	1048	8537
2	3747	8537

Stop Event

1×	node limit

Counts

263 → 300

Calls

Call 1

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

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

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 15 computations (40% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite87.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`*-commutative`
810×	`associate-/r*`
608×	`unswap-sqr`
596×	`associate-*r/`
540×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	223	34
2	2605	34

Stop Event

1×	node limit

Counts

2 → 208

Calls

Call 1

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

Outputs

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

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

simplify104.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1548×	`unswap-sqr`
610×	`associate-/l*`
498×	`distribute-rgt-in`
496×	`distribute-lft-in`
434×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	7066
1	1040	6418
2	3800	6396

Stop Event

1×	node limit

Counts

232 → 283

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

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

eval301.0ms (5%)

Compiler: Compiled 14610 to 9616 computations (34.2% saved)

prune154.0ms (2.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	829	5	834
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	832	7	839

Error

Counts

839 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.4b	(pow.f64 (log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))) -1)
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	1.4b	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (cbrt.f64 (log1p.f64 9)))) (fabs.f64 (cbrt.f64 (log1p.f64 9))))
▶	0.2b	(/.f64 (/.f64 -1 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re)))
✓	0.1b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	0.9b	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
▶	0.2b	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))

Compiler

Compiled 143 to 119 computations (16.8% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 25 to 15 computations (40% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

12 calls:

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

rewrite72.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1084×	`associate-/r*`
968×	`associate-*r/`
936×	`*-commutative`
648×	`associate-/l*`
628×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	224	38
2	2674	34

Stop Event

1×	node limit

Counts

2 → 137

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

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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 -9/10) (atan2.f64 im re))))))))

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(#(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 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)))) (#(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) (log1p.f64 -9/10)))))) (#(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 expm1.f64 (log1p.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 log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))))

simplify105.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

998×	`*-commutative`
926×	`associate-/r/`
882×	`+-commutative`
750×	`associate-/l/`
552×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	303	3847
1	818	3671
2	2785	3663
3	7784	3663

Stop Event

1×	node limit

Counts

161 → 166

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
✓	0.9b	(/.f64 (log1p.f64 9) (atan2.f64 im re))

Compiler

Compiled 25 to 15 computations (40% saved)

series15.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	im	@	0	(/.f64 (log1p.f64 9) (atan2.f64 im re))
6.0ms	re	@	0	(/.f64 (log1p.f64 9) (atan2.f64 im re))
0.0ms	re	@	inf	(/.f64 (log1p.f64 9) (atan2.f64 im re))
0.0ms	im	@	inf	(/.f64 (log1p.f64 9) (atan2.f64 im re))
0.0ms	re	@	-inf	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))

rewrite73.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`associate-/r*`
894×	`*-commutative`
882×	`associate-*r/`
620×	`associate-*l/`
608×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	224	34
2	2619	34

Stop Event

1×	node limit

Counts

2 → 132

Calls

Call 1

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

Outputs

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(#(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 exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (atan2.f64 im re)) (log.f64 (log.f64 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))))))

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1284×	`associate-/r*`
774×	`*-commutative`
566×	`associate-/r/`
486×	`distribute-lft-in`
480×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	3974
1	673	3808
2	2392	3806

Stop Event

1×	node limit

Counts

180 → 151

Calls

Call 1

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

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

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0.1%)

Counts

3 → 24

Calls

12 calls:

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

rewrite75.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1368×	`associate-/r*`
1082×	`*-commutative`
1058×	`associate-/l*`
624×	`swap-sqr`
502×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	264	41
2	3209	41

Stop Event

1×	node limit

Counts

3 → 129

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

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

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1350×	`unswap-sqr`
720×	`distribute-rgt-in`
706×	`distribute-lft-in`
602×	`associate-/r/`
526×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	268	3309
1	678	3199
2	2721	3187

Stop Event

1×	node limit

Counts

153 → 162

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

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))) -1)
	0.0b	(/.f64 1 (atan2.f64 im re))
✓	0.2b	(pow.f64 10 (/.f64 1 (atan2.f64 im re)))
✓	0.6b	(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))

Compiler

Compiled 40 to 24 computations (40% saved)

series90.0ms (1.5%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
30.0ms	im	@	inf	(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))
12.0ms	re	@	inf	(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))
12.0ms	re	@	-inf	(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))
12.0ms	im	@	-inf	(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))
12.0ms	im	@	0	(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))

rewrite112.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

934×	`*-commutative`
692×	`unswap-sqr`
690×	`times-frac`
558×	`swap-sqr`
456×	`sqr-pow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	260	53
2	2868	53

Stop Event

1×	node limit

Counts

3 → 286

Calls

Call 1

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

Outputs

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simplify106.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

736×	`associate-/l*`
686×	`*-commutative`
662×	`associate-*r/`
554×	`associate-r`
504×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	680	6094
1	1782	6094
2	7126	6094

Stop Event

1×

unsound

Counts

358 → 287

Calls

Call 1

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

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

localize36.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (cbrt.f64 (log1p.f64 9)))) (fabs.f64 (cbrt.f64 (log1p.f64 9))))
✓	0.9b	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (cbrt.f64 (log1p.f64 9))))
✓	1.0b	(cbrt.f64 (log1p.f64 9))
✓	1.0b	(sqrt.f64 (cbrt.f64 (log1p.f64 9)))

Compiler

Compiled 60 to 47 computations (21.7% saved)

series87.0ms (1.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
63.0ms	im	@	0	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (cbrt.f64 (log1p.f64 9))))
12.0ms	re	@	0	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (cbrt.f64 (log1p.f64 9))))
5.0ms	re	@	0	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (cbrt.f64 (log1p.f64 9)))) (fabs.f64 (cbrt.f64 (log1p.f64 9))))
1.0ms	im	@	0	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (cbrt.f64 (log1p.f64 9)))) (fabs.f64 (cbrt.f64 (log1p.f64 9))))
1.0ms	re	@	inf	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (cbrt.f64 (log1p.f64 9)))) (fabs.f64 (cbrt.f64 (log1p.f64 9))))

rewrite90.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`associate-/l/`
1010×	`associate-/r/`
544×	`distribute-lft-neg-in`
478×	`distribute-rgt-neg-in`
312×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	118
1	314	64
2	4364	64

Stop Event

1×	node limit

Counts

4 → 201

Calls

Call 1

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

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

simplify185.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1190×	`distribute-frac-neg`
1150×	`times-frac`
982×	`associate-/r*`
826×	`associate-r`
696×	`distribute-lft-neg-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	441	8433
1	1097	7779
2	6291	7779

Stop Event

1×	node limit

Counts

249 → 255

Calls

Call 1

Inputs
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 10) 1/6))) 1)
(*.f64 (pow.f64 (log.f64 10) 1/6) 1)
(*.f64 1 (pow.f64 (log.f64 10) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 1/4) (pow.f64 (cbrt.f64 (log.f64 10)) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 1/4) (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 1/4))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 10) 1/6)) (cbrt.f64 (cbrt.f64 (log.f64 10))))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) (cbrt.f64 (pow.f64 (log.f64 10) 1/6)))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (log.f64 10) 1/6)))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (log.f64 10) 1/6))) (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (log.f64 10) 1/6)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2)) (sqrt.f64 (cbrt.f64 (cbrt.f64 (log.f64 10)))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 (log.f64 10) 1/6))) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 10) 1/6)))) (neg.f64 (cbrt.f64 (neg.f64 (pow.f64 (log.f64 10) 1/6)))))
(*.f64 -1 (neg.f64 (pow.f64 (log.f64 10) 1/6)))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 1/4)) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 1/4)))
(*.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (log.f64 10)))) (neg.f64 (cbrt.f64 (pow.f64 (log.f64 10) 1/6))))
(*.f64 (pow.f64 1 1/2) (pow.f64 (log.f64 10) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2) 1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 1/2))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 (log.f64 10) 1/6)))) (sqrt.f64 (neg.f64 (pow.f64 (log.f64 10) 1/6))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (pow.f64 (log.f64 10) 1/6))) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 10) 1/6))))) (cbrt.f64 (neg.f64 (pow.f64 (log.f64 10) 1/6))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 1/4))) (pow.f64 (cbrt.f64 (log.f64 10)) 1/4))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))))) (cbrt.f64 (pow.f64 (log.f64 10) 1/6)))
(pow.f64 (log.f64 10) 1/6)
(pow.f64 (pow.f64 (log.f64 10) 1/6) 1)
(pow.f64 (sqrt.f64 (log.f64 10)) 1/3)
(pow.f64 (cbrt.f64 (log.f64 10)) 1/2)
(pow.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 1/4) 2)
(pow.f64 (cbrt.f64 (pow.f64 (log.f64 10) 1/6)) 3)
(neg.f64 (neg.f64 (pow.f64 (log.f64 10) 1/6)))
(fabs.f64 (pow.f64 (log.f64 10) 1/6))
(log.f64 (exp.f64 (pow.f64 (log.f64 10) 1/6)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (log.f64 10) 1/6))))
(cbrt.f64 (sqrt.f64 (log.f64 10)))
(expm1.f64 (log1p.f64 (pow.f64 (log.f64 10) 1/6)))
(exp.f64 (log.f64 (pow.f64 (log.f64 10) 1/6)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 10) 1/6)) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (log.f64 10))) 1/2))
(log1p.f64 (expm1.f64 (pow.f64 (log.f64 10) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (log.f64 10)))) 1)
(*.f64 (pow.f64 (log.f64 10) 1/6) (pow.f64 (log.f64 10) 1/6))
(*.f64 (cbrt.f64 (log.f64 10)) 1)
(*.f64 1 (cbrt.f64 (log.f64 10)))
(.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 1/4) (.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 1/4) (pow.f64 (log.f64 10) 1/6)))
(*.f64 (pow.f64 (log.f64 10) 1/4) (pow.f64 (cbrt.f64 (log.f64 10)) 1/4))
(*.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) (.f64 (cbrt.f64 (pow.f64 (log.f64 10) 1/6)) (pow.f64 (log.f64 10) 1/6)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2) (cbrt.f64 (cbrt.f64 (log.f64 10))))
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(*.f64 (sqrt.f64 (neg.f64 (cbrt.f64 (log.f64 10)))) (neg.f64 (sqrt.f64 (neg.f64 (cbrt.f64 (log.f64 10))))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (cbrt.f64 (log.f64 10)))) (cbrt.f64 (neg.f64 (cbrt.f64 (log.f64 10))))) (neg.f64 (cbrt.f64 (neg.f64 (cbrt.f64 (log.f64 10))))))
(.f64 (.f64 (pow.f64 (log.f64 10) 1/6) (cbrt.f64 (cbrt.f64 (log.f64 10)))) (cbrt.f64 (pow.f64 (log.f64 10) 1/6)))
(*.f64 -1 (neg.f64 (cbrt.f64 (log.f64 10))))
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(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (/.f64 (pow.f64 (log.f64 10) 1/6) 1)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (/.f64 (pow.f64 (log.f64 10) 1/6) (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))) (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (/.f64 (pow.f64 (log.f64 10) 1/6) (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)))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(pow.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))) -1)
(neg.f64 (/.f64 1 (neg.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) 3) (log.f64 10)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))

Outputs
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (atan2.f64 im re))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (atan2.f64 im re))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
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(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (fabs.f64 (cbrt.f64 (log1p.f64 9)))))
(*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 10) 2))) (/.f64 (atan2.f64 im re) (cbrt.f64 (log1p.f64 9))))
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 10) 2)) 1/3) (/.f64 (atan2.f64 im re) (fabs.f64 (pow.f64 (log1p.f64 9) 1/3))))
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(-.f64 (exp.f64 (log1p.f64 (pow.f64 (log.f64 10) 1/6))) 1)
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(*.f64 (pow.f64 (log.f64 10) 1/6) 1)
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 1/4) (pow.f64 (cbrt.f64 (log.f64 10)) 1/4))
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 1/4) (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 1/4))))
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(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (log.f64 10)) 2))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2)) (/.f64 (atan2.f64 im re) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (log.f64 10)) 2))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (log.f64 10)) 2))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (cbrt.f64 (log.f64 10)) (sqrt.f64 (log.f64 10)))) (pow.f64 (cbrt.f64 (log.f64 10)) -1/2))
(.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (.f64 (pow.f64 (cbrt.f64 (log.f64 10)) -1/2) (/.f64 1 (cbrt.f64 (log.f64 10)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) -1/2) (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (cbrt.f64 (log.f64 10))))
(*.f64 (/.f64 1 (neg.f64 (cbrt.f64 (log.f64 10)))) (/.f64 (atan2.f64 im re) (neg.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 2))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (log.f64 10)) 2))
(*.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (log.f64 10)) 2))
(*.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)))) (pow.f64 (log.f64 10) 1/6)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (pow.f64 (log.f64 10) 1/6)) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (cbrt.f64 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (pow.f64 (pow.f64 (log.f64 10) 1/6) 3))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10))) (cbrt.f64 (log.f64 10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (cbrt.f64 (log.f64 10)))
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10))) (/.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2) (sqrt.f64 (log.f64 10)))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 10)) -1/2) (cbrt.f64 (cbrt.f64 (log.f64 10)))))
(.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (.f64 (pow.f64 (cbrt.f64 (log.f64 10)) -1/2) (/.f64 1 (cbrt.f64 (log.f64 10)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) -1/2) (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (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 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (log.f64 10)) 2))
(*.f64 (/.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2)) (/.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))) (cbrt.f64 (cbrt.f64 (log.f64 10)))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (log.f64 10)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))) 2) 1) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))) (cbrt.f64 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (log.f64 10)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))) 2) (pow.f64 (log.f64 10) 1/6)) (/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))) (pow.f64 (log.f64 10) 1/6)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (log.f64 10)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))) 2) (pow.f64 (cbrt.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 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))) 2) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 (log.f64 10)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))) (pow.f64 (cbrt.f64 (log.f64 10)) -1/2))
(.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (.f64 (pow.f64 (cbrt.f64 (log.f64 10)) -1/2) (/.f64 1 (cbrt.f64 (log.f64 10)))))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) -1/2) (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (cbrt.f64 (log.f64 10))))
(.f64 (/.f64 1 (.f64 (/.f64 (cbrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))) (cbrt.f64 (log.f64 10)))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (log.f64 10)) 2))
(*.f64 (/.f64 1 (/.f64 (cbrt.f64 (log.f64 10)) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))) 2))) (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (log.f64 10)) 2))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (sqrt.f64 (log.f64 10))) (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)))) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (sqrt.f64 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10))) (sqrt.f64 (log.f64 10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (/.f64 (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10))) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))) 2) (cbrt.f64 (log.f64 10))) (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (log.f64 10)) 2))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) 1) (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)))
(/.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) (cbrt.f64 (log.f64 10)))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (log.f64 10)) 2))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (log.f64 10)) 1/4)) (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (log.f64 10)) 1/4)))
(.f64 (/.f64 (atan2.f64 im re) (.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 1/4) (sqrt.f64 (log.f64 10)))) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (pow.f64 (cbrt.f64 (log.f64 10)) 1/4)))
(/.f64 (/.f64 (atan2.f64 im re) (*.f64 (pow.f64 (cbrt.f64 (log.f64 10)) 1/4) (sqrt.f64 (log.f64 10)))) (pow.f64 (cbrt.f64 (log.f64 10)) 5/4))
(.f64 (/.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (cbrt.f64 (cbrt.f64 (log.f64 10)))) (/.f64 (atan2.f64 im re) (.f64 (cbrt.f64 (pow.f64 (log.f64 10) 1/6)) (sqrt.f64 (log.f64 10)))))
(*.f64 (/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 10) 1/6))) (sqrt.f64 (log.f64 10))) (/.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (cbrt.f64 (cbrt.f64 (log.f64 10)))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (cbrt.f64 (pow.f64 (log.f64 10) 1/6))) (*.f64 (cbrt.f64 (log.f64 10)) (cbrt.f64 (cbrt.f64 (log.f64 10)))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (neg.f64 (pow.f64 (log.f64 10) 1/6))) (/.f64 (atan2.f64 im re) (neg.f64 (sqrt.f64 (log.f64 10)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (pow.f64 (log.f64 10) 1/6)) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (cbrt.f64 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (pow.f64 (pow.f64 (log.f64 10) 1/6) 3))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (/.f64 (pow.f64 (log.f64 10) 1/6) (atan2.f64 im re))) (pow.f64 (log.f64 10) -1/2))
(.f64 (pow.f64 (log.f64 10) -1/2) (.f64 (/.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/6)) (atan2.f64 im re)))
(*.f64 (pow.f64 (log.f64 10) -1/2) (/.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 10) 1/6) 3)))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (/.f64 (pow.f64 (log.f64 10) 1/6) 1)) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (pow.f64 (log.f64 10) 1/6)) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (cbrt.f64 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (pow.f64 (pow.f64 (log.f64 10) 1/6) 3))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (/.f64 (pow.f64 (log.f64 10) 1/6) (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))) (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))))
(*.f64 (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (pow.f64 (log.f64 10) 1/6)) (/.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))) (cbrt.f64 (log.f64 10))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (pow.f64 (pow.f64 (log.f64 10) 1/6) 3))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (/.f64 (pow.f64 (log.f64 10) 1/6) (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) (sqrt.f64 (log.f64 10)))) (.f64 (/.f64 (/.f64 1 (cbrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/6)) (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)))) (/.f64 (pow.f64 (pow.f64 (log.f64 10) 1/6) 3) (cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 2) (log.f64 10)))))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(/.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 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(/.f64 (atan2.f64 im re) (log.f64 10))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3) 1/3)
(/.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 1 (neg.f64 (/.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10))))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 2))
(fabs.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(/.f64 (atan2.f64 im re) (log.f64 10))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) 3) (log.f64 10)))
(expm1.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))
(exp.f64 (*.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1))
(/.f64 (atan2.f64 im re) (log.f64 10))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(/.f64 (atan2.f64 im re) (log.f64 10))

eval605.0ms (10.1%)

Compiler: Compiled 21232 to 15226 computations (28.3% saved)

prune257.0ms (4.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	1138	2	1140
Fresh	0	0	0
Picked	1	0	1
Done	1	5	6
Total	1140	7	1147

Error

Counts

1147 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	1.4b	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (pow.f64 (log.f64 10) 1/6)) (fabs.f64 (cbrt.f64 (log1p.f64 9))))
✓	0.2b	(/.f64 (/.f64 -1 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re)))
✓	0.1b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	0.9b	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
▶	9.4b	(/.f64 1 (log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))))
✓	0.2b	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))

Compiler

Compiled 80 to 66 computations (17.5% saved)

localize38.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))))
	0.0b	(/.f64 1 (atan2.f64 im re))
	0.2b	(pow.f64 10 (/.f64 1 (atan2.f64 im re)))
	0.6b	(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))

Compiler

Compiled 39 to 23 computations (41% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite63.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`*-commutative`
652×	`unswap-sqr`
560×	`associate-*r/`
550×	`swap-sqr`
448×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	241	17
2	2781	17

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1334×	`associate-/l*`
1188×	`distribute-lft-in`
1084×	`associate-+r+`
930×	`associate-+l+`
846×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	1373
1	200	1293
2	695	1281
3	3012	1281

Stop Event

1×	node limit

Counts

61 → 43

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

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

localize72.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9)))
✓	0.1b	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (pow.f64 (log.f64 10) 1/6)) (fabs.f64 (cbrt.f64 (log1p.f64 9))))
✓	0.9b	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (pow.f64 (log.f64 10) 1/6))
	1.0b	(cbrt.f64 (log1p.f64 9))

Compiler

Compiled 64 to 51 computations (20.3% saved)

series64.0ms (1.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
31.0ms	im	@	0	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (pow.f64 (log.f64 10) 1/6)) (fabs.f64 (cbrt.f64 (log1p.f64 9))))
14.0ms	im	@	0	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (pow.f64 (log.f64 10) 1/6))
7.0ms	re	@	0	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (pow.f64 (log.f64 10) 1/6))
6.0ms	re	@	0	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (pow.f64 (log.f64 10) 1/6)) (fabs.f64 (cbrt.f64 (log1p.f64 9))))
1.0ms	im	@	inf	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (pow.f64 (log.f64 10) 1/6)) (fabs.f64 (cbrt.f64 (log1p.f64 9))))

rewrite118.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1204×	`associate-/l/`
1008×	`associate-/r/`
556×	`distribute-lft-neg-in`
356×	`add-sqr-sqrt`
338×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	113
1	382	65
2	4905	65

Stop Event

1×	node limit

Counts

3 → 169

Calls

Call 1

Inputs

(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (pow.f64 (log.f64 10) 1/6))

(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (pow.f64 (log.f64 10) 1/6)) (fabs.f64 (cbrt.f64 (log1p.f64 9))))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)))) 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) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (atan2.f64 im re) (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 10)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 10))) (/.f64 (sqrt.f64 (atan2.f64 im re)) (cbrt.f64 (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) -1/6)))))) (#(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) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 10)) 2))))))) (#(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) -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify195.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1542×	`associate-/r/`
1178×	`distribute-rgt-in`
1164×	`distribute-lft-in`
584×	`associate-r`
532×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	394	8933
1	1024	8583
2	4622	8583

Stop Event

1×	node limit

Counts

241 → 237

Calls

Call 1

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

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

eval418.0ms (7%)

Compiler: Compiled 10285 to 7678 computations (25.3% saved)

prune134.0ms (2.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	516	1	517
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	517	7	524

Error

Counts

524 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
	1.4b	(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/6)) (cbrt.f64 (log.f64 10)))
✓	0.2b	(/.f64 (/.f64 -1 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re)))
✓	0.1b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	0.9b	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
✓	9.4b	(/.f64 1 (log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))))
✓	0.2b	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))

Compiler

Compiled 79 to 65 computations (17.7% saved)

regimes27.0ms (0.4%)

Accuracy

Total -9.9b remaining (-9404.9%)

Threshold costs -9.9b (-9404.9%)

Counts

13 → 1

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
(/.f64 (/.f64 -1 (log.f64 1/10)) (/.f64 1 (atan2.f64 im re)))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(/.f64 1 (log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 3)
(pow.f64 (log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))) -1)
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (pow.f64 (log.f64 10) 1/6)) (cbrt.f64 (log.f64 10)))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (pow.f64 (log.f64 10) 1/6)) (fabs.f64 (cbrt.f64 (log1p.f64 9))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (sqrt.f64 (cbrt.f64 (log1p.f64 9)))) (fabs.f64 (cbrt.f64 (log1p.f64 9))))

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

Calls

4 calls:

8.0ms	im
7.0ms	re
4.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
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 158 to 114 computations (27.8% saved)

simplify41.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	19	38
2	23	38
3	26	38
4	27	38

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

soundness86.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1430×	`associate-/r/`
1180×	`associate-r`
1158×	`distribute-lft-in`
1028×	`associate-l`
726×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	722
1	202	698
2	746	698
3	4387	698

Stop Event

1×	node limit

Compiler

Compiled 33 to 22 computations (33.3% saved)

end18.0ms (0.3%)

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

Details

analyze1.0ms (0%)

sample1.1s (18%)

preprocess4.0ms (0.1%)

simplify12.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.2%)

series31.0ms (0.5%)

rewrite57.0ms (1%)

simplify53.0ms (0.9%)

eval11.0ms (0.2%)

prune7.0ms (0.1%)

localize11.0ms (0.2%)

series26.0ms (0.4%)

rewrite62.0ms (1%)

simplify70.0ms (1.2%)

localize20.0ms (0.3%)

series3.0ms (0%)

rewrite76.0ms (1.3%)

simplify85.0ms (1.4%)

localize18.0ms (0.3%)

series12.0ms (0.2%)

rewrite92.0ms (1.5%)

simplify129.0ms (2.2%)

localize14.0ms (0.2%)

series6.0ms (0.1%)

rewrite87.0ms (1.5%)

simplify104.0ms (1.7%)

eval301.0ms (5%)

prune154.0ms (2.6%)

localize13.0ms (0.2%)

series3.0ms (0%)

rewrite72.0ms (1.2%)

simplify105.0ms (1.8%)

localize12.0ms (0.2%)

series15.0ms (0.2%)

rewrite73.0ms (1.2%)

simplify73.0ms (1.2%)

localize15.0ms (0.2%)

series3.0ms (0.1%)

rewrite75.0ms (1.3%)

simplify66.0ms (1.1%)

localize21.0ms (0.3%)

series90.0ms (1.5%)

rewrite112.0ms (1.9%)

simplify106.0ms (1.8%)

localize36.0ms (0.6%)

series87.0ms (1.4%)

rewrite90.0ms (1.5%)

simplify185.0ms (3.1%)

eval605.0ms (10.1%)

prune257.0ms (4.3%)

localize38.0ms (0.6%)

series2.0ms (0%)

rewrite63.0ms (1.1%)

simplify54.0ms (0.9%)

localize72.0ms (1.2%)

series64.0ms (1.1%)

rewrite118.0ms (2%)

simplify195.0ms (3.3%)

eval418.0ms (7%)

prune134.0ms (2.3%)

regimes27.0ms (0.4%)

simplify41.0ms (0.7%)

soundness86.0ms (1.4%)

end18.0ms (0.3%)

Profiling