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)

sample951.0ms (14.1%)

Results

938.0ms

8256×

body

256

valid

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

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

0.9b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series28.0ms (0.4%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	im	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
6.0ms	re	@	0	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	im	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	re	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 10))
0.0ms	re	@	inf	(/.f64 (atan2.f64 im re) (log.f64 10))

rewrite59.0ms (0.9%)

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 (0.7%)

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

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))

eval8.0ms (0.1%)

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

prune13.0ms (0.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	31	8	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	9	40

Error

Counts

40 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.2b	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
▶	28.9b	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
	0.9b	(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
▶	0.2b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	2.0b	(*.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))))
	29.4b	(*.f64 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.f64 (atan2.f64 im re)) (log.f64 10)))
▶	0.8b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))))
	7.5b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))

Compiler

Compiled 220 to 170 computations (22.7% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 21 to 10 computations (52.4% saved)

series28.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
20.0ms	im	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
5.0ms	re	@	0	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
1.0ms	im	@	inf	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
1.0ms	re	@	inf	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
1.0ms	im	@	-inf	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))

rewrite70.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

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

Outputs

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

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

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

77 → 59

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
✓	0.8b	(/.f64 (log.f64 10) (atan2.f64 im re))

Compiler

Compiled 25 to 15 computations (40% saved)

series5.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite80.0ms (1.2%)

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

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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))))))))

simplify95.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

232 → 283

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	2.9b	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))

Compiler

Compiled 33 to 20 computations (39.4% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	im	@	0	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
0.0ms	re	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
0.0ms	im	@	inf	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
0.0ms	re	@	inf	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
0.0ms	im	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)

rewrite79.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`*-commutative`
658×	`associate-*r/`
652×	`associate-/r*`
580×	`unswap-sqr`
524×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	243	38
2	2602	38

Stop Event

1×	node limit

Counts

2 → 211

Calls

Call 1

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

Outputs

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

simplify99.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1526×	`associate-/r/`
1224×	`distribute-rgt-in`
1214×	`distribute-lft-in`
596×	`associate-/l*`
488×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	438	7789
1	948	7247
2	3664	7247

Stop Event

1×	node limit

Counts

235 → 301

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

Outputs
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (atan2.f64 im re) (log.f64 10))
(/.f64 (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 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))) -1)
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))) 1)
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1)
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (pow.f64 1 1/2))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 1 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (/.f64 1 (log.f64 10))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (sqrt.f64 (log.f64 10))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (pow.f64 (/.f64 1 (log.f64 10)) 1/2))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (/.f64 1 (log.f64 10))))
(*.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/4) (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/4))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
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(*.f64 (sqrt.f64 (/.f64 1 (log.f64 10))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (/.f64 1 (log.f64 10))))
(*.f64 (sqrt.f64 (cbrt.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 (sqrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (fabs.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (sqrt.f64 (neg.f64 (atan2.f64 im re))) (/.f64 1 (sqrt.f64 (log.f64 1/10))))
(/.f64 (sqrt.f64 (neg.f64 (atan2.f64 im re))) (sqrt.f64 (log.f64 1/10)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)) (sqrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (sqrt.f64 (cbrt.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 (sqrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (fabs.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 10))) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (sqrt.f64 (log.f64 10))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10)))
(*.f64 (neg.f64 (sqrt.f64 (atan2.f64 im re))) (/.f64 1 (neg.f64 (sqrt.f64 (log.f64 10)))))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 1 (sqrt.f64 (log.f64 10))))
(/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10)))
(*.f64 (pow.f64 (/.f64 1 (log.f64 10)) 1/2) (sqrt.f64 (atan2.f64 im re)))
(*.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (/.f64 1 (log.f64 10))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))))
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(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (fabs.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2) 1/2))
(*.f64 (sqrt.f64 (cbrt.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 (sqrt.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (fabs.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))))))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
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(.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) (.f64 (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/4)) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/4))))
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(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
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(.f64 (.f64 (sqrt.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 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/4)) (cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 1/4))))
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(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))) 3/2))
(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10)))
(*.f64 (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3/2) 1/6) (pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3/2) 1/6))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3/2))
(/.f64 1 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
(/.f64 1 (/.f64 (sqrt.f64 (log.f64 10)) (sqrt.f64 (atan2.f64 im re))))
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(/.f64 1 (/.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 1))
(/.f64 1 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))))
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(/.f64 (sqrt.f64 (atan2.f64 im re)) (sqrt.f64 (log.f64 10)))
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localize28.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 39 to 29 computations (25.6% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite79.0ms (1.2%)

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

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

simplify111.0ms (1.6%)

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

localize26.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(*.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))))
✓	0.8b	(pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)
✓	0.9b	(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10)))
✓	3.9b	(cbrt.f64 (atan2.f64 im re))

Compiler

Compiled 61 to 34 computations (44.3% saved)

series25.0ms (0.4%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	im	@	-inf	(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10)))
2.0ms	im	@	0	(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10)))
2.0ms	im	@	inf	(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10)))
2.0ms	re	@	inf	(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10)))
2.0ms	re	@	-inf	(/.f64 (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2) (sqrt.f64 (log.f64 10)))

rewrite97.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`unswap-sqr`
902×	`swap-sqr`
512×	`sqr-pow`
302×	`add-sqr-sqrt`
290×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	76
1	308	76
2	3878	76

Stop Event

1×	node limit

Counts

4 → 208

Calls

Call 1

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

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

simplify121.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1158×	`distribute-lft-neg-in`
1106×	`associate-r`
980×	`associate-l`
722×	`associate-/l*`
582×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	455	10246
1	1158	9074
2	6211	9074

Stop Event

1×	node limit

Counts

304 → 265

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

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

eval435.0ms (6.4%)

Compiler: Compiled 25531 to 16169 computations (36.7% saved)

prune268.0ms (4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1278	5	1283
Fresh	3	0	3
Picked	1	0	1
Done	2	3	5
Total	1284	8	1292

Error

Counts

1292 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	31.1b	(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2) -1)
✓	28.9b	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
▶	13.2b	(pow.f64 (log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))) -1)
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	0.2b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	1.2b	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
▶	0.5b	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
▶	0.8b	(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 146 to 120 computations (17.8% saved)

localize12.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	0.8b	(/.f64 (log.f64 1/10) (atan2.f64 im re))
	1.0b	(log.f64 1/10)

Compiler

Compiled 25 to 15 computations (40% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
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	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))

rewrite72.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

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

Outputs

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

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

simplify174.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

161 → 166

Calls

Call 1

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
✓	0.8b	(/.f64 (log1p.f64 9) (atan2.f64 im re))

Compiler

Compiled 25 to 15 computations (40% saved)

series16.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	re	@	0	(/.f64 (log1p.f64 9) (atan2.f64 im re))
6.0ms	im	@	0	(/.f64 (log1p.f64 9) (atan2.f64 im re))
0.0ms	im	@	inf	(/.f64 (log1p.f64 9) (atan2.f64 im re))
0.0ms	re	@	inf	(/.f64 (log1p.f64 9) (atan2.f64 im re))
0.0ms	im	@	-inf	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))

rewrite72.0ms (1.1%)

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))))))))

simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

180 → 151

Calls

Call 1

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

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

localize50.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))) -1)
✓	0.1b	(/.f64 1 (atan2.f64 im re))
✓	0.3b	(pow.f64 10 (/.f64 1 (atan2.f64 im re)))
✓	0.5b	(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))

Compiler

Compiled 40 to 24 computations (40% saved)

series132.0ms (1.9%)

Counts

4 → 72

Calls

24 calls:

Time	Variable		Point	Expression
50.0ms	im	@	-inf	(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))
33.0ms	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))))
12.0ms	re	@	-inf	(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))
12.0ms	im	@	0	(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))

rewrite140.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	84
1	260	66
2	2868	66

Stop Event

1×	node limit

Counts

4 → 340

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

Outputs
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simplify107.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

882×	`associate-/l*`
812×	`*-commutative`
756×	`associate-*r/`
658×	`associate-r`
606×	`associate-l`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	791	7012
1	2037	7012

Stop Event

1×	node limit

Counts

412 → 341

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

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2) -1)
✓	0.3b	(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2)
	0.8b	(/.f64 (log1p.f64 9) (atan2.f64 im re))
✓	1.7b	(sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)))

Compiler

Compiled 45 to 29 computations (35.6% saved)

series5.0ms (0.1%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	im	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2)
0.0ms	re	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2)
0.0ms	im	@	0	(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2)
0.0ms	re	@	inf	(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2)
0.0ms	im	@	inf	(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2)

rewrite209.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

988×	`*-commutative`
922×	`associate-/r*`
784×	`associate-*r/`
692×	`unswap-sqr`
596×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	297	55
2	3100	55

Stop Event

1×	node limit

Counts

3 → 409

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2) -1)

Outputs

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

simplify358.0ms (5.3%)

Algorithm

1×	egg-herbie

Rules

1306×	`associate-/l*`
882×	`associate-/r*`
858×	`associate-/l/`
754×	`distribute-lft-in`
746×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	785	15193
1	1755	14139
2	6948	14139

Stop Event

1×	node limit

Counts

481 → 533

Calls

Call 1

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

localize24.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.8b	(*.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))))

rewrite84.0ms (1.2%)

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (atan2.f64 im re) (log1p.f64 9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (log1p.f64 9) -1/2) (/.f64 (sqrt.f64 (log1p.f64 9)) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (log1p.f64 9) (sqrt.f64 (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (atan2.f64 im re)) (/.f64 (sqrt.f64 (log1p.f64 9)) (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (atan2.f64 im re)) (/.f64 (log1p.f64 9) (pow.f64 (cbrt.f64 (atan2.f64 im re)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 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simplify125.0ms (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)))
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(/.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 (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 (/.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 (atan2.f64 im re) (.f64 (sqrt.f64 (log1p.f64 9)) (pow.f64 (log1p.f64 9) 1/4))) (.f64 (cbrt.f64 (pow.f64 (log1p.f64 9) 1/4)) (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)) (*.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 9))) (cbrt.f64 (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))) (.f64 (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) (sqrt.f64 (log1p.f64 9))) (*.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 9))) (pow.f64 (log1p.f64 9) 1/4))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 9)))))
(/.f64 (/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log1p.f64 9))) (*.f64 (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 (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 (/.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 (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))))
(/.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 (/.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 (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))))
(/.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 (/.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 (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))))
(/.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 (/.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 (atan2.f64 im re) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 9)))) (.f64 (*.f64 (sqrt.f64 (log1p.f64 9)) (cbrt.f64 (log1p.f64 9))) (cbrt.f64 (cbrt.f64 (log1p.f64 9))))))
(/.f64 (atan2.f64 im re) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 9)))) (.f64 (sqrt.f64 (log1p.f64 9)) (*.f64 (cbrt.f64 (log1p.f64 9)) (cbrt.f64 (cbrt.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)))
(/.f64 (/.f64 (atan2.f64 im re) (.f64 (sqrt.f64 (log1p.f64 9)) (cbrt.f64 (log1p.f64 9)))) (.f64 (cbrt.f64 (pow.f64 (log1p.f64 9) 1/4)) (cbrt.f64 (pow.f64 (log1p.f64 9) 1/4))))
(/.f64 (atan2.f64 im re) (.f64 (.f64 (cbrt.f64 (pow.f64 (log1p.f64 9) 1/4)) (cbrt.f64 (pow.f64 (log1p.f64 9) 1/4))) (*.f64 (sqrt.f64 (log1p.f64 9)) (cbrt.f64 (log1p.f64 9)))))
(/.f64 (atan2.f64 im re) (.f64 (.f64 (sqrt.f64 (log1p.f64 9)) (cbrt.f64 (log1p.f64 9))) (*.f64 (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)
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 2)
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))) 3)
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 3) 1/3)
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(neg.f64 (*.f64 (/.f64 -1 (log1p.f64 9)) (atan2.f64 im re)))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(neg.f64 (*.f64 (atan2.f64 im re) (/.f64 -1 (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(neg.f64 (*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 -1 (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(neg.f64 (/.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))
(sqrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9)) 2))
(/.f64 (atan2.f64 im re) (log1p.f64 9))
(log.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(/.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))
(cbrt.f64 (*.f64 (pow.f64 (atan2.f64 im re) 3) (/.f64 1 (pow.f64 (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))
(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log1p.f64 9))))
(/.f64 (atan2.f64 im re) (log1p.f64 9))

eval717.0ms (10.6%)

Compiler: Compiled 26921 to 18242 computations (32.2% saved)

prune359.0ms (5.3%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1435	2	1437
Fresh	0	0	0
Picked	0	1	1
Done	2	5	7
Total	1437	8	1445

Error

Counts

1445 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.9b	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	0.2b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
▶	31.1b	(/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2))
✓	1.2b	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
▶	13.2b	(/.f64 1 (log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))))
✓	0.5b	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	0.8b	(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 87 to 71 computations (18.4% saved)

localize50.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))))
	0.1b	(/.f64 1 (atan2.f64 im re))
	0.3b	(pow.f64 10 (/.f64 1 (atan2.f64 im re)))
	0.5b	(log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re))))

Compiler

Compiled 39 to 23 computations (41% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite100.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

61 → 43

Calls

Call 1

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

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

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2))
✓	0.3b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2)
	0.8b	(/.f64 (log.f64 10) (atan2.f64 im re))
✓	1.7b	(sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re)))

Compiler

Compiled 45 to 29 computations (35.6% saved)

series3.0ms (0%)

Counts

3 → 48

Calls

18 calls:

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

rewrite103.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1060×	`associate-/r*`
1030×	`associate-*r/`
994×	`*-commutative`
722×	`associate-*l/`
640×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	61
1	287	55
2	3074	55

Stop Event

1×	node limit

Counts

3 → 322

Calls

Call 1

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

Outputs

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

simplify178.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1370×	`distribute-rgt-in`
1348×	`distribute-lft-in`
1124×	`associate-/l*`
594×	`associate-r`
564×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	634	11626
1	1393	11232
2	5966	11232

Stop Event

1×	node limit

Counts

370 → 429

Calls

Call 1

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

eval258.0ms (3.8%)

Compiler: Compiled 14033 to 9390 computations (33.1% saved)

prune170.0ms (2.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	739	1	740
Fresh	0	0	0
Picked	1	0	1
Done	1	6	7
Total	741	7	748

Error

Counts

748 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	31.1b	(pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -2)
✓	0.9b	(/.f64 (atan2.f64 im re) (log.f64 10))
✓	0.2b	(/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 1/10))
✓	1.2b	(/.f64 1 (/.f64 (log1p.f64 9) (atan2.f64 im re)))
✓	13.2b	(/.f64 1 (log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))))
✓	0.5b	(/.f64 -1 (/.f64 (log.f64 1/10) (atan2.f64 im re)))
✓	0.8b	(*.f64 (atan2.f64 im re) (/.f64 (pow.f64 (log.f64 10) -1/2) (sqrt.f64 (log.f64 10))))

Compiler

Compiled 74 to 60 computations (18.9% saved)

regimes32.0ms (0.5%)

Accuracy

Total -38.3b remaining (-24764.6%)

Threshold costs -38.3b (-24764.6%)

Counts

17 → 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)))
(pow.f64 (/.f64 (log.f64 10) (atan2.f64 im re)) -1)
(/.f64 1 (log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))))
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 10)) 3))
(pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) -2)
(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 10))) 2)
(pow.f64 (log.f64 (pow.f64 10 (/.f64 1 (atan2.f64 im re)))) -1)
(/.f64 1 (pow.f64 (sqrt.f64 (/.f64 (log.f64 10) (atan2.f64 im re))) 2))
(/.f64 (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 10))) (sqrt.f64 (log.f64 10)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 9) (atan2.f64 im re))) 2) -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 (/.f64 (sqrt.f64 (atan2.f64 im re)) 1) (/.f64 (sqrt.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))))

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

Calls

4 calls:

10.0ms	re
9.0ms	im
4.0ms	(/.f64 (atan2.f64 im re) (log.f64 10))
4.0ms	(atan2.f64 im re)

Results

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

Compiler

Compiled 196 to 132 computations (32.7% saved)

simplify5.0ms (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×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

soundness90.0ms (1.3%)

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)

end17.0ms (0.2%)

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

Details

analyze1.0ms (0%)

sample951.0ms (14.1%)

preprocess4.0ms (0.1%)

simplify11.0ms (0.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.2%)

series28.0ms (0.4%)

rewrite59.0ms (0.9%)

simplify47.0ms (0.7%)

eval8.0ms (0.1%)

prune13.0ms (0.2%)

localize10.0ms (0.1%)

series28.0ms (0.4%)

rewrite70.0ms (1%)

simplify66.0ms (1%)

localize16.0ms (0.2%)

series5.0ms (0.1%)

rewrite80.0ms (1.2%)

simplify95.0ms (1.4%)

localize16.0ms (0.2%)

series4.0ms (0.1%)

rewrite79.0ms (1.2%)

simplify99.0ms (1.5%)

localize28.0ms (0.4%)

series3.0ms (0%)

rewrite79.0ms (1.2%)

simplify111.0ms (1.6%)

localize26.0ms (0.4%)

series25.0ms (0.4%)

rewrite97.0ms (1.4%)

simplify121.0ms (1.8%)

eval435.0ms (6.4%)

prune268.0ms (4%)

localize12.0ms (0.2%)

series3.0ms (0%)

rewrite72.0ms (1.1%)

simplify174.0ms (2.6%)

localize12.0ms (0.2%)

series16.0ms (0.2%)

rewrite72.0ms (1.1%)

simplify78.0ms (1.1%)

localize50.0ms (0.7%)

series132.0ms (1.9%)

rewrite140.0ms (2.1%)

simplify107.0ms (1.6%)

localize23.0ms (0.3%)

series5.0ms (0.1%)

rewrite209.0ms (3.1%)

simplify358.0ms (5.3%)

localize24.0ms (0.4%)

series1.0ms (0%)

rewrite84.0ms (1.2%)

simplify125.0ms (1.8%)

eval717.0ms (10.6%)

prune359.0ms (5.3%)

localize50.0ms (0.7%)

series2.0ms (0%)

rewrite100.0ms (1.5%)

simplify56.0ms (0.8%)

localize24.0ms (0.4%)

series3.0ms (0%)

rewrite103.0ms (1.5%)

simplify178.0ms (2.6%)

eval258.0ms (3.8%)

prune170.0ms (2.5%)

regimes32.0ms (0.5%)

simplify5.0ms (0.1%)

soundness90.0ms (1.3%)

end17.0ms (0.2%)

Profiling