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)

sample1.2s (22.5%)

Results

1.2s

8256×

body

256

valid

Bogosity

preprocess6.0ms (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)

simplify11.0ms (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

1.34%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.34%	(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 8 to 6 computations (25% saved)

localize42.0ms (0.8%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.34%	(/.f64 (atan2.f64 im re) (log.f64 10))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series28.0ms (0.5%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
19.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
8.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	re	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	im	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite56.0ms (1.1%)

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))))))))

simplify47.0ms (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

0.01%

Counts

40 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.84%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	1.34%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	0.16%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	2.21%	(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 1/10))))
▶	1.31%	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 60 to 46 computations (23.3% saved)

localize22.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.16%	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
✓	1.19%	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 39 to 29 computations (25.6% saved)

series38.0ms (0.7%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
35.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
1.0ms	im	@	0	(/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10)))
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)))

rewrite88.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1298×	`associate-/r*`
1274×	`associate-*l/`
1224×	`associate-/l*`
1094×	`*-commutative`
252×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	258	38
2	3146	38

Stop Event

1×	node limit

Counts

2 → 196

Calls

Call 1

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

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

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(#(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) (/.f64 1 (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)))))))))

simplify117.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1280×	`unswap-sqr`
1034×	`associate-/l*`
706×	`associate-/l/`
580×	`times-frac`
574×	`distribute-frac-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	462	9340
1	1159	8850
2	4992	8850

Stop Event

1×	node limit

Counts

244 → 286

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

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.32%	(pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)
✓	1.56%	(/.f64 -1 (log.f64 1/10))
✓	1.56%	(log.f64 1/10)
✓	7.74%	(cbrt.f64 (atan2.f64 im re))

Compiler

Compiled 51 to 28 computations (45.1% saved)

series9.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

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

rewrite204.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`*-commutative`
800×	`sqrt-prod`
572×	`unswap-sqr`
506×	`swap-sqr`
504×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	257	44
2	2754	44

Stop Event

1×	node limit

Counts

4 → 195

Calls

Call 1

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

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

simplify89.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

634×	`distribute-lft-neg-in`
570×	`distribute-rgt-neg-in`
544×	`associate-r`
414×	`associate-l`
406×	`distribute-rgt-neg-out`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	398	2943
1	910	2943
2	3712	2943

Stop Event

1×	node limit

Counts

243 → 203

Calls

Call 1

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

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

localize22.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	1.34%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
	1.56%	(log.f64 1/10)

Compiler

Compiled 21 to 10 computations (52.4% saved)

series26.0ms (0.5%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
17.0ms	im	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
6.0ms	re	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
1.0ms	im	@	inf	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
1.0ms	re	@	-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))

rewrite57.0ms (1.1%)

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	21
1	203	17
2	2604	17

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify59.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1496×	`associate-/r/`
1316×	`associate-r`
1228×	`distribute-lft-in`
1130×	`associate-l`
726×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	93	1387
1	216	1345
2	846	1345
3	4844	1345

Stop Event

1×	node limit

Counts

61 → 54

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(-.f64 0 (/.f64 (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 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 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(.f64 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 10))))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) 2) (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))))
(.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 10))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (/.f64 -1 (log.f64 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))
(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)))
(/.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)))
(/.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)))
(/.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)))
(/.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)))
(/.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 0 (/.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 (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))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10))
(neg.f64 (/.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 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 (/.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 (sqrt.f64 (atan2.f64 im re)) (.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 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 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 -1 (log.f64 10))))
(*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10))
(neg.f64 (/.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))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (/.f64 -1 (log.f64 10)) (atan2.f64 im re))
(*.f64 (atan2.f64 im re) (/.f64 -1 (log.f64 10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 10))
(neg.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) (sqrt.f64 (log.f64 1/10)))
(/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 1/10)) (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 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2))
(/.f64 (atan2.f64 im re) (*.f64 (cbrt.f64 (log.f64 1/10)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)))
(*.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 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))))
(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2))
(/.f64 (atan2.f64 im re) (*.f64 (cbrt.f64 (log.f64 1/10)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)))
(*.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 (/.f64 1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) (sqrt.f64 (log.f64 1/10)))
(/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log.f64 1/10)) (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 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)))
(/.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 1/10))) (/.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)))
(*.f64 (/.f64 -1 (sqrt.f64 (log.f64 1/10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))))
(*.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 1/10))) (/.f64 -1 (sqrt.f64 (log.f64 1/10))))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 1/10))) (sqrt.f64 (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (sqrt.f64 (log.f64 1/10)) (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 (atan2.f64 im re) (cbrt.f64 (log.f64 1/10))) (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)))
(/.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)) (cbrt.f64 (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (*.f64 (cbrt.f64 (log.f64 1/10)) (pow.f64 (cbrt.f64 (log.f64 1/10)) 2)))
(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))

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.58%	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	1.35%	(/.f64 (log.f64 10) (atan2.f64 im re))

Compiler

Compiled 25 to 15 computations (40% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	re	@	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	im	@	-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)

rewrite84.0ms (1.6%)

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

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

simplify110.0ms (2.1%)

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

eval361.0ms (6.9%)

Compiler: Compiled 18929 to 12565 computations (33.6% saved)

prune192.0ms (3.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	953	5	958
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	956	7	963

Error

Counts

963 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.73%	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
▶	19.48%	(pow.f64 (log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))) -1)
✓	1.34%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	0.16%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	1.84%	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
▶	0.72%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
▶	1.22%	(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 133 to 109 computations (18% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.58%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	1.35%	(/.f64 (log.f64 1/10) (atan2.f64 im re))
	1.56%	(log.f64 1/10)

Compiler

Compiled 25 to 15 computations (40% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite75.0ms (1.4%)

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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(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))))))))

simplify111.0ms (2.1%)

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.58%	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
✓	1.35%	(/.f64 (log1p.f64 9) (atan2.f64 im re))

Compiler

Compiled 25 to 15 computations (40% saved)

series15.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

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

rewrite73.0ms (1.4%)

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 (1.4%)

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

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.11%	(/.f64 -1 (atan2.f64 im re))
✓	0.58%	(pow.f64 (*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10)) -1)
✓	1.28%	(*.f64 (/.f64 -1 (atan2.f64 im re)) (log.f64 1/10))
	1.56%	(log.f64 1/10)

Compiler

Compiled 34 to 21 computations (38.2% saved)

series7.0ms (0.1%)

Counts

3 → 48

Calls

18 calls:

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

rewrite94.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1006×	`*-commutative`
828×	`unswap-sqr`
734×	`associate-*r/`
650×	`associate-/r*`
598×	`swap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	248	57
2	2905	55

Stop Event

1×	node limit

Counts

3 → 258

Calls

Call 1

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

Outputs

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

simplify132.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

876×	`associate-/l*`
574×	`distribute-lft-neg-out`
570×	`distribute-rgt-in`
566×	`distribute-lft-in`
550×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	550	10914
1	1360	9520
2	5391	9520

Stop Event

1×	node limit

Counts

306 → 375

Calls

Call 1

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

localize20.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.11%	(/.f64 1 (atan2.f64 im re))
✓	0.41%	(pow.f64 10 (/.f64 1 (atan2.f64 im re)))
✓	1.86%	(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))

Compiler

Compiled 40 to 24 computations (40% saved)

series98.0ms (1.9%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
31.0ms	im	@	inf	(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))
17.0ms	im	@	-inf	(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))
16.0ms	re	@	-inf	(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))
14.0ms	im	@	0	(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))
13.0ms	re	@	inf	(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))

rewrite74.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1908×	`add-sqr-sqrt`
1882×	`*-un-lft-identity`
1748×	`add-cube-cbrt`
1730×	`add-cbrt-cube`
204×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	217	49
2	2450	49

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))) (log.f64 (sqrt.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 100 (/.f64 1 (atan2.f64 im re))))) (log.f64 (cbrt.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (atan2.f64 im re) -1/2) (*.f64 (pow.f64 (atan2.f64 im re) -1/2) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2) (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (atan2.f64 im re) -2)) (*.f64 (/.f64 1 (cbrt.f64 (atan2.f64 im re))) (log.f64 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 10) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) 1) (/.f64 1 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) (pow.f64 (atan2.f64 im re) -1/2)) (pow.f64 (atan2.f64 im re) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 10) (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 (log.f64 10) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 10) 1) (atan2.f64 im re))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 10) -1) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (log.f64 10)) (neg.f64 (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 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 (cbrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))) (sqrt.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))) (cbrt.f64 (pow.f64 100 (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 100 (/.f64 1 (atan2.f64 im re)))) (cbrt.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 100 (/.f64 1 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))))))))

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

simplify72.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1010×	`unswap-sqr`
570×	`distribute-lft-neg-in`
562×	`distribute-lft-neg-out`
536×	`distribute-rgt-neg-in`
502×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	2222
1	281	2142
2	1117	2134
3	5515	2134

Stop Event

1×	node limit

Counts

114 → 75

Calls

Call 1

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

localize26.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	1.22%	(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 38 to 31 computations (18.4% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite72.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1036×	`*-commutative`
1000×	`associate-/r*`
926×	`associate-*r/`
736×	`associate-/l*`
688×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	266	17
2	3290	17

Stop Event

1×	node limit

Counts

1 → 101

Calls

Call 1

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

Outputs

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(cbrt.f64 (sqrt.f64 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log1p.f64 9)) (cbrt.f64 (log1p.f64 9)))) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 9)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 9)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log1p.f64 9)) (cbrt.f64 (log1p.f64 9)))) (cbrt.f64 (cbrt.f64 (log1p.f64 9)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (/.f64 (atan2.f64 im re) (*.f64 (sqrt.f64 (log1p.f64 9)) (cbrt.f64 (log1p.f64 9)))) (cbrt.f64 (pow.f64 (log1p.f64 9) 1/4))) (cbrt.f64 (pow.f64 (log1p.f64 9) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 -1 (log1p.f64 9)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (atan2.f64 im re) (/.f64 -1 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 -1 (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (neg.f64 (sqrt.f64 (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (/.f64 1 (pow.f64 (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 log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))))))

simplify93.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1554×	`associate-+r+`
1038×	`associate-+l+`
992×	`*-commutative`
646×	`associate-/l*`
488×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	274	4333
1	707	4321
2	2798	4137
3	5645	4137

Stop Event

1×	node limit

Counts

125 → 149

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

eval390.0ms (7.5%)

Compiler: Compiled 19639 to 14027 computations (28.6% saved)

prune389.0ms (7.5%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1107	1	1108
Fresh	0	0	0
Picked	0	1	1
Done	2	4	6
Total	1109	6	1115

Error

Counts

1115 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.34%	(/.f64 (atan2.f64 im re) (log.f64 10))
▶	0.69%	(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
✓	0.16%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	1.84%	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
✓	0.72%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	1.22%	(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 63 to 51 computations (19% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.11%	(/.f64 -1 (atan2.f64 im re))
✓	1.56%	(/.f64 1 (log.f64 1/10))
	1.56%	(log.f64 1/10)
✓	1.71%	(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))

Compiler

Compiled 31 to 21 computations (32.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite108.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1286×	`associate-*r/`
1170×	`associate-/r*`
1064×	`*-commutative`
870×	`associate-/l*`
788×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	264	32
2	3141	28

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

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

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

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

simplify63.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1400×	`associate-*r/`
972×	`associate-/r*`
950×	`associate-*l/`
792×	`*-commutative`
700×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	198	2925
1	504	2829
2	2047	2799

Stop Event

1×	node limit

Counts

113 → 114

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 (atan2.f64 im re) (log.f64 10)))) 1)
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (/.f64 1 (log.f64 1/10)) (neg.f64 (atan2.f64 im re)))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 10)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1)
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(*.f64 (pow.f64 (log.f64 1/10) -1/2) (/.f64 (neg.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 1/10))))
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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))
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(*.f64 (neg.f64 (atan2.f64 im re)) (/.f64 1 (log.f64 1/10)))
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(.f64 (/.f64 (.f64 (/.f64 1 (log.f64 1/10)) (sqrt.f64 (neg.f64 (atan2.f64 im re)))) (sqrt.f64 -1)) (sqrt.f64 (atan2.f64 im re)))
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(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))
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(*.f64 (/.f64 1 (log.f64 10)) -1)
(*.f64 (pow.f64 (sqrt.f64 (log.f64 1/10)) -1) (pow.f64 (sqrt.f64 (log.f64 1/10)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 1/10)) 2) -1) (pow.f64 (cbrt.f64 (log.f64 1/10)) -1))
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Outputs
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(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
(/.f64 (atan2.f64 im re) (neg.f64 (log.f64 1/10)))
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(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 1/10)))
(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
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eval86.0ms (1.6%)

Compiler: Compiled 4299 to 3268 computations (24% saved)

prune39.0ms (0.7%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	248	0	248
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	248	6	254

Error

Counts

254 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.34%	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	0.69%	(/.f64 (/.f64 1 (log.f64 1/10)) (/.f64 -1 (atan2.f64 im re)))
✓	0.16%	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	1.84%	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
✓	0.72%	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	1.22%	(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 63 to 51 computations (19% saved)

regimes22.0ms (0.4%)

Accuracy

Total -12.8b remaining (-12606.1%)

Threshold costs -12.8b (-12606.1%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

4 calls:

6.0ms	re
6.0ms	im
4.0ms	(atan2.f64 im re)
3.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))

Results

Error	Segments	Branch
0.16%	1	`re`
0.16%	1	`im`
0.16%	1	`(/.f64 (atan2.f64 im re) (log.f64 10))`
0.16%	1	`(atan2.f64 im re)`

Compiler

Compiled 129 to 87 computations (32.6% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	done
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)

soundness90.0ms (1.7%)

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%)

sample1.2s (22.5%)

preprocess6.0ms (0.1%)

simplify11.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize42.0ms (0.8%)

series28.0ms (0.5%)

rewrite56.0ms (1.1%)

simplify47.0ms (0.9%)

eval11.0ms (0.2%)

prune7.0ms (0.1%)

localize22.0ms (0.4%)

series38.0ms (0.7%)

rewrite88.0ms (1.7%)

simplify117.0ms (2.2%)

localize23.0ms (0.4%)

series9.0ms (0.2%)

rewrite204.0ms (3.9%)

simplify89.0ms (1.7%)

localize22.0ms (0.4%)

series26.0ms (0.5%)

rewrite57.0ms (1.1%)

simplify59.0ms (1.1%)

localize13.0ms (0.3%)

series5.0ms (0.1%)

rewrite84.0ms (1.6%)

simplify110.0ms (2.1%)

eval361.0ms (6.9%)

prune192.0ms (3.7%)

localize13.0ms (0.2%)

series3.0ms (0.1%)

rewrite75.0ms (1.4%)

simplify111.0ms (2.1%)

localize13.0ms (0.2%)

series15.0ms (0.3%)

rewrite73.0ms (1.4%)

simplify73.0ms (1.4%)

localize17.0ms (0.3%)

series7.0ms (0.1%)

rewrite94.0ms (1.8%)

simplify132.0ms (2.5%)

localize20.0ms (0.4%)

series98.0ms (1.9%)

rewrite74.0ms (1.4%)

simplify72.0ms (1.4%)

localize26.0ms (0.5%)

series1.0ms (0%)

rewrite72.0ms (1.4%)

simplify93.0ms (1.8%)

eval390.0ms (7.5%)

prune389.0ms (7.5%)

localize15.0ms (0.3%)

series1.0ms (0%)

rewrite108.0ms (2.1%)

simplify63.0ms (1.2%)

eval86.0ms (1.6%)

prune39.0ms (0.7%)

regimes22.0ms (0.4%)

simplify4.0ms (0.1%)

soundness90.0ms (1.7%)

end18.0ms (0.3%)

Profiling