Details

analyze206.0ms (2.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	49.9%	25.1%	7
25%	49.9%	25.1%	8
25%	49.9%	25.1%	9
37.4%	25%	37.6%	10
37.4%	25%	37.6%	11
37.4%	25%	37.6%	12

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample3.1s (31.8%)

Results

2.5s	8256×	body	256	valid
514.0ms	2039×	body	256	invalid

preprocess117.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

801×	`cube-prod_binary64`
752×	`fma-neg_binary64`
678×	`unswap-sqr_binary64`
403×	`fma-def_binary64`
341×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	80
1	137	76
2	227	48
3	329	36
4	407	36
5	993	36
6	2435	36
7	3501	36
8	4106	36
9	4213	36
10	4415	36
11	4930	36
12	6811	36
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (-.f64 (.f64 (atan2.f64 re im) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (-.f64 (.f64 (atan2.f64 im base) (log.f64 re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 base base) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 re) (log.f64 re)) (.f64 0 0)))
(/.f64 (-.f64 (.f64 (atan2.f64 base re) (log.f64 im)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))) 0)) (+.f64 (.f64 (log.f64 im) (log.f64 im)) (.f64 0 0)))

Outputs
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(/.f64 (/.f64 (atan2.f64 im re) 1) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 re im) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 re im) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (log.f64 base) (log.f64 base)) (/.f64 (atan2.f64 re im) (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 re im) (log.f64 base)))
(/.f64 (atan2.f64 re im) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im base) (log.f64 re)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 base base) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 re) (log.f64 re)) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im base) (log.f64 re) 0) (*.f64 (log.f64 re) (log.f64 re)))
(/.f64 (atan2.f64 im base) (/.f64 (*.f64 (log.f64 re) (log.f64 re)) (log.f64 re)))
(/.f64 (atan2.f64 im base) (/.f64 (log.f64 re) 1))
(/.f64 (atan2.f64 im base) (log.f64 re))
(/.f64 (-.f64 (.f64 (atan2.f64 base re) (log.f64 im)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 base base)))) 0)) (+.f64 (.f64 (log.f64 im) (log.f64 im)) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 base re) (log.f64 im) 0) (*.f64 (log.f64 im) (log.f64 im)))
(/.f64 (atan2.f64 base re) (/.f64 (*.f64 (log.f64 im) (log.f64 im)) (log.f64 im)))
(/.f64 (atan2.f64 base re) (/.f64 (log.f64 im) 1))
(/.f64 (atan2.f64 base re) (log.f64 im))

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify101.0ms (1%)

Algorithm

1×	egg-herbie

Rules

877×	`fma-def_binary64`
692×	`fma-neg_binary64`
640×	`cube-prod_binary64`
454×	`associate-/l*_binary64`
447×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	20
1	41	19
2	68	12
3	94	9
4	115	9
5	273	9
6	1067	9
7	2495	9
8	3545	9
9	5304	9
10	5909	9
11	6994	9

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

Outputs
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
(/.f64 (fma.f64 (atan2.f64 im re) (log.f64 base) 0) (*.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (/.f64 (log.f64 base) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(/.f64 (atan2.f64 im re) (log.f64 base))

eval2.0ms (0%)

Compiler: Compiled 37 to 21 computations (43.2% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	32.2b	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

Status

Error

Program

▶

0.3b

(/.f64 (atan2.f64 im re) (log.f64 base))

▶

32.2b

(/.f64 (-.f64 (*.f64 (atan2.f64 im re) (log.f64 base)) (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))) 0)) (+.f64 (*.f64 (log.f64 base) (log.f64 base)) (*.f64 0 0)))

Compiler

Compiled 40 to 26 computations (35% saved)

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
✓	0.4b	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	0.5b	(*.f64 (log.f64 base) (log.f64 base))
✓	29.8b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 122 to 33 computations (73% saved)

series96.0ms (1%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
28.0ms	base	@	-inf	(*.f64 (log.f64 base) (log.f64 base))
22.0ms	base	@	0	(*.f64 (log.f64 base) (log.f64 base))
13.0ms	re	@	0	(*.f64 (atan2.f64 im re) (log.f64 base))
12.0ms	im	@	0	(*.f64 (atan2.f64 im re) (log.f64 base))
6.0ms	base	@	inf	(*.f64 (log.f64 base) (log.f64 base))

rewrite88.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

598×	`prod-diff_binary64`
354×	`fma-def_binary64`
299×	`fma-neg_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	37
1	414	28
2	5058	28

Stop Event

1×	node limit

Counts

4 → 216

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(*.f64 (log.f64 base) (log.f64 base))
(*.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

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

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

760×	`associate-*l/_binary64`
610×	`associate-*r/_binary64`
439×	`cancel-sign-sub-inv_binary64`
373×	`*-commutative_binary64`
334×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	86	1185
1	242	1174
2	657	1174
3	2597	1174
4	7115	1174

Stop Event

1×	node limit

Counts

324 → 254

Calls

Call 1

Inputs
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(*.f64 -1 re)
(+.f64 (.f64 -1 re) (.f64 -1/2 (/.f64 (pow.f64 im 2) re)))
(+.f64 (.f64 -1 re) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re))))
(+.f64 (.f64 -1 re) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (.f64 -1/2 (/.f64 (pow.f64 im 2) re)))))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
(*.f64 -1 im)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (.f64 -1 im))
(+.f64 (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im)))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (.f64 -1 im))))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))

Outputs
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(fma.f64 1/2 (/.f64 (*.f64 re re) im) im)
(fma.f64 1/2 (/.f64 re (/.f64 im re)) im)
(fma.f64 1/2 (*.f64 re (/.f64 re im)) im)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 (*.f64 re re) im) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 re (/.f64 im re)) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (*.f64 re (/.f64 re im)) im))
(fma.f64 1/2 (*.f64 re (/.f64 re im)) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) im))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 (*.f64 re re) im) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 re (/.f64 im re)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(fma.f64 1/2 (/.f64 re (/.f64 im re)) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(fma.f64 1/2 (*.f64 re (/.f64 re im)) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(fma.f64 1/2 (/.f64 (*.f64 im im) re) re)
(fma.f64 1/2 (*.f64 (/.f64 im re) im) re)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 im im) re) re) (/.f64 (.f64 -1/8 (pow.f64 im 4)) (pow.f64 re 3)))
(fma.f64 1/2 (/.f64 (*.f64 im im) re) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re))
(fma.f64 1/2 (*.f64 (/.f64 im re) im) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(fma.f64 1/2 (/.f64 (.f64 im im) re) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (+.f64 re (/.f64 (.f64 -1/8 (pow.f64 im 4)) (pow.f64 re 3)))))
(fma.f64 1/2 (/.f64 (*.f64 im im) re) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re)))
(fma.f64 1/2 (*.f64 (/.f64 im re) im) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) re)))
(*.f64 -1 re)
(neg.f64 re)
(+.f64 (.f64 -1 re) (.f64 -1/2 (/.f64 (pow.f64 im 2) re)))
(fma.f64 -1 re (.f64 (/.f64 (.f64 im im) re) -1/2))
(-.f64 (.f64 (/.f64 (.f64 im im) re) -1/2) re)
(-.f64 (.f64 (/.f64 -1/2 re) (.f64 im im)) re)
(-.f64 (.f64 (.f64 im im) (/.f64 -1/2 re)) re)
(+.f64 (.f64 -1 re) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (*.f64 -1/2 (/.f64 (pow.f64 im 2) re))))
(fma.f64 -1 re (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (.f64 (/.f64 (.f64 im im) re) -1/2)))
(-.f64 (fma.f64 (/.f64 (.f64 im im) re) -1/2 (.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8)) re)
(fma.f64 (.f64 (/.f64 im re) im) -1/2 (-.f64 (.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8) re))
(-.f64 (.f64 (.f64 im im) (/.f64 -1/2 re)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re))
(+.f64 (.f64 -1 re) (+.f64 (.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (.f64 -1/2 (/.f64 (pow.f64 im 2) re)))))
(fma.f64 -1 re (fma.f64 1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (fma.f64 -1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (.f64 (/.f64 (.f64 im im) re) -1/2))))
(-.f64 (fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8 (fma.f64 (/.f64 (.f64 im im) re) -1/2 (.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) -1/16))) re)
(-.f64 (fma.f64 (.f64 (/.f64 im re) im) -1/2 (fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8 (.f64 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) -1/16))) re)
(-.f64 (fma.f64 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) 1/8 (.f64 (.f64 im im) (/.f64 -1/2 re))) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) re))
(fma.f64 (.f64 im im) (/.f64 -1/2 re) (-.f64 (.f64 (pow.f64 im 6) (/.f64 -1/16 (pow.f64 re 5))) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re)))
re
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 im 2) re)) re)
(fma.f64 1/2 (/.f64 (*.f64 im im) re) re)
(fma.f64 1/2 (*.f64 (/.f64 im re) im) re)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 re (.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)))))
(+.f64 (fma.f64 1/2 (/.f64 (.f64 im im) re) re) (/.f64 (.f64 -1/8 (pow.f64 im 4)) (pow.f64 re 3)))
(fma.f64 1/2 (/.f64 (*.f64 im im) re) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re))
(fma.f64 1/2 (*.f64 (/.f64 im re) im) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 im 2) re)) (+.f64 (.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5))) (+.f64 re (*.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3))))))
(fma.f64 1/2 (/.f64 (.f64 im im) re) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (+.f64 re (/.f64 (.f64 -1/8 (pow.f64 im 4)) (pow.f64 re 3)))))
(fma.f64 1/2 (/.f64 (*.f64 im im) re) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) re)))
(fma.f64 1/2 (*.f64 (/.f64 im re) im) (fma.f64 -1/8 (/.f64 (pow.f64 im 4) (pow.f64 re 3)) (fma.f64 1/16 (/.f64 (pow.f64 im 6) (pow.f64 re 5)) re)))
im
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 re 2) im)) im)
(fma.f64 1/2 (/.f64 (*.f64 re re) im) im)
(fma.f64 1/2 (/.f64 re (/.f64 im re)) im)
(fma.f64 1/2 (*.f64 re (/.f64 re im)) im)
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 (*.f64 re re) im) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 re (/.f64 im re)) im))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (*.f64 re (/.f64 re im)) im))
(fma.f64 1/2 (*.f64 re (/.f64 re im)) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) im))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 re 2) im)) (+.f64 (*.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) im)))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 (*.f64 re re) im) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/2 (/.f64 re (/.f64 im re)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(fma.f64 1/2 (/.f64 re (/.f64 im re)) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(fma.f64 1/2 (*.f64 re (/.f64 re im)) (fma.f64 -1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) im)))
(*.f64 -1 im)
(neg.f64 im)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (.f64 -1 im))
(fma.f64 -1/2 (/.f64 (*.f64 re re) im) (neg.f64 im))
(-.f64 (*.f64 (/.f64 re (/.f64 im re)) -1/2) im)
(-.f64 (.f64 (/.f64 -1/2 im) (.f64 re re)) im)
(-.f64 (/.f64 (*.f64 re re) (/.f64 im -1/2)) im)
(+.f64 (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (*.f64 -1 im)))
(fma.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 -1/2 (/.f64 (*.f64 re re) im) (neg.f64 im)))
(fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8 (-.f64 (*.f64 (/.f64 re (/.f64 im re)) -1/2) im))
(fma.f64 (/.f64 re (/.f64 im re)) -1/2 (-.f64 (/.f64 (pow.f64 re 4) (/.f64 (pow.f64 im 3) 1/8)) im))
(-.f64 (/.f64 (.f64 (pow.f64 re 4) 1/8) (pow.f64 im 3)) (fma.f64 1/2 (.f64 re (/.f64 re im)) im))
(+.f64 (.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5))) (+.f64 (.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 re 2) im)) (.f64 -1 im))))
(fma.f64 -1/16 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) (fma.f64 1/8 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) (fma.f64 -1/2 (/.f64 (*.f64 re re) im) (neg.f64 im))))
(fma.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) -1/16 (fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8 (-.f64 (*.f64 (/.f64 re (/.f64 im re)) -1/2) im)))
(fma.f64 (/.f64 (pow.f64 re 6) (pow.f64 im 5)) -1/16 (fma.f64 (/.f64 re (/.f64 im re)) -1/2 (-.f64 (/.f64 (pow.f64 re 4) (/.f64 (pow.f64 im 3) 1/8)) im)))
(-.f64 (fma.f64 (/.f64 (pow.f64 re 4) (pow.f64 im 3)) 1/8 (.f64 (pow.f64 re 6) (/.f64 -1/16 (pow.f64 im 5)))) (fma.f64 1/2 (.f64 re (/.f64 re im)) im))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (log.f64 base) 2)
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 -1 (.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(*.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize44.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 17 to 6 computations (64.7% saved)

series2.0ms (0%)

Counts

1 → 8

Calls

9 calls:

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

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

702×	`pow1_binary64`
643×	`add-log-exp_binary64`
643×	`log1p-expm1-u_binary64`
643×	`expm1-log1p-u_binary64`
628×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	139	9
2	1734	9

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

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

Outputs

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

simplify112.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

749×	`div-sub_binary64`
628×	`fma-neg_binary64`
606×	`associate--r-_binary64`
497×	`fma-def_binary64`
424×	`associate--l-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	104
1	31	104
2	44	96
3	90	72
4	195	72
5	597	72
6	2428	72
7	4923	72
8	6199	72
9	6457	72
10	6593	72
11	6701	72

Stop Event

1×	node limit

Counts

39 → 34

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))

Outputs
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (neg.f64 (atan2.f64 im re)) (neg.f64 (log.f64 base)))
(*.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval100.0ms (1%)

Compiler: Compiled 7965 to 3055 computations (61.6% saved)

prune60.0ms (0.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	273	15	288
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	274	16	290

Error

0.0b

Counts

290 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	31.6b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
	15.7b	(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
	1.0b	(*.f64 (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 4))) (/.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))
▶	0.3b	(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	1.2b	(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (/.f64 (atan2.f64 im re) (cbrt.f64 (log.f64 base))))
	0.5b	(*.f64 (/.f64 (log.f64 base) 1) (/.f64 (atan2.f64 im re) (pow.f64 (log.f64 base) 2)))
	30.3b	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	0.5b	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (atan2.f64 im re)))
▶	0.4b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	0.4b	(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
	9.1b	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
▶	9.1b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
	0.4b	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
	1.4b	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
▶	33.8b	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)

Compiler

Compiled 429 to 304 computations (29.1% saved)

localize15.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
✓	0.2b	(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))

Compiler

Compiled 32 to 8 computations (75% saved)

series6.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	base	@	-inf	(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
0.0ms	im	@	0	(log1p.f64 (expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
0.0ms	im	@	0	(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
0.0ms	im	@	-inf	(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
0.0ms	base	@	inf	(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

rewrite63.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

783×	`pow1_binary64`
718×	`expm1-log1p-u_binary64`
717×	`add-log-exp_binary64`
717×	`log1p-expm1-u_binary64`
700×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	161	20
2	1942	20

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

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

Outputs

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

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

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

833×	`fma-neg_binary64`
758×	`div-sub_binary64`
256×	`distribute-rgt-in_binary64`
251×	`*-commutative_binary64`
234×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	720
1	47	720
2	70	720
3	130	720
4	298	720
5	955	720
6	4668	720
7	7980	720

Stop Event

1×	node limit

Counts

131 → 64

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(-.f64 (exp.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))) 1)
(expm1.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	0.3b	(/.f64 1 (log.f64 base))

Compiler

Compiled 24 to 11 computations (54.2% saved)

series4.0ms (0%)

Counts

2 → 44

Calls

12 calls:

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

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`pow1_binary64`
712×	`add-log-exp_binary64`
712×	`log1p-expm1-u_binary64`
712×	`expm1-log1p-u_binary64`
696×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
1	175	15
2	2031	15

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

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

simplify124.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

763×	`div-sub_binary64`
628×	`fma-neg_binary64`
589×	`associate--r-_binary64`
494×	`fma-def_binary64`
410×	`associate--l-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	388
1	34	388
2	47	372
3	92	372
4	196	372
5	597	372
6	2414	372
7	4961	372
8	6218	372
9	6476	372
10	6617	372
11	6725	372

Stop Event

1×	node limit

Counts

88 → 49

Calls

Call 1

Inputs
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))

Outputs
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 -1 (neg.f64 (log.f64 base)))
(/.f64 1 (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	0.5b	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
✓	8.9b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 35 to 12 computations (65.7% saved)

series10.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

895×	`pow1_binary64`
834×	`add-log-exp_binary64`
834×	`log1p-expm1-u_binary64`
834×	`expm1-log1p-u_binary64`
812×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	210	21
2	2331	21

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

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

Outputs

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

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

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

798×	`div-sub_binary64`
681×	`fma-def_binary64`
630×	`associate-/l*_binary64`
482×	`distribute-neg-frac_binary64`
393×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	864
1	68	864
2	225	864
3	1019	756
4	5023	756

Stop Event

1×	node limit

Counts

150 → 83

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(*.f64 -1 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 (/.f64 1 base)) 3)))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 3))
(/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)

localize45.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
	0.5b	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
✓	11.1b	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)

Compiler

Compiled 37 to 14 computations (62.2% saved)

series20.0ms (0.2%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	re	@	0	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
2.0ms	im	@	0	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
2.0ms	im	@	-inf	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
2.0ms	base	@	inf	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
2.0ms	re	@	inf	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

973×	`pow1_binary64`
910×	`add-log-exp_binary64`
910×	`log1p-expm1-u_binary64`
910×	`expm1-log1p-u_binary64`
105×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	240	9
2	2562	9

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)

Outputs

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

simplify153.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1089×	`div-sub_binary64`
696×	`fma-neg_binary64`
597×	`sub-neg_binary64`
564×	`fma-def_binary64`
529×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	352
1	32	352
2	47	352
3	94	352
4	193	352
5	589	352
6	2315	352
7	4687	352
8	5495	352
9	6211	352
10	6877	352
11	7469	352
12	7765	352
13	7897	352

Stop Event

1×	node limit

Counts

77 → 44

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 -1)) (neg.f64 (log.f64 base)))
(/.f64 (cbrt.f64 -1) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 -1) (neg.f64 (log.f64 base))))
(*.f64 (cbrt.f64 -1) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 -1)) (neg.f64 (log.f64 base)))
(/.f64 (cbrt.f64 -1) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 -1) (neg.f64 (log.f64 base))))
(*.f64 (cbrt.f64 -1) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 -1)) (neg.f64 (log.f64 base)))
(/.f64 (cbrt.f64 -1) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 -1) (neg.f64 (log.f64 base))))
(*.f64 (cbrt.f64 -1) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (*.f64 (cbrt.f64 -1) (atan2.f64 im re)) (log.f64 (/.f64 1 base)))
(/.f64 (*.f64 (atan2.f64 im re) (cbrt.f64 -1)) (neg.f64 (log.f64 base)))
(/.f64 (cbrt.f64 -1) (neg.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(*.f64 (atan2.f64 im re) (/.f64 (cbrt.f64 -1) (neg.f64 (log.f64 base))))
(*.f64 (cbrt.f64 -1) (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
✓	0.4b	(/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))
✓	0.5b	(pow.f64 (log.f64 base) 2)

Compiler

Compiled 42 to 20 computations (52.4% saved)

series4.0ms (0%)

Counts

3 → 56

Calls

15 calls:

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

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

501×	`log-prod_binary64`
372×	`exp-prod_binary64`
342×	`prod-exp_binary64`
306×	`pow-prod-down_binary64`
263×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	250	21
2	2746	21

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

Inputs
(pow.f64 (log.f64 base) 2)
(/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2))
(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))

Outputs

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

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

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

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

850×	`fma-neg_binary64`
375×	`associate-/l/_binary64`
320×	`fma-def_binary64`
294×	`associate-l_binary64`
277×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	25	460
1	45	460
2	78	460
3	215	444
4	763	444
5	3678	444

Stop Event

1×	node limit

Counts

208 → 160

Calls

Call 1

Inputs
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))

Outputs
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) 2)
(pow.f64 (log.f64 (/.f64 1 base)) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) 2)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2)
(pow.f64 (neg.f64 (log.f64 base)) 2)
(*.f64 (log.f64 base) (log.f64 base))
(pow.f64 (log.f64 base) 2)
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval178.0ms (1.8%)

Compiler: Compiled 7271 to 2850 computations (60.8% saved)

prune219.0ms (2.3%)

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	525	14	539
Fresh	9	1	10
Picked	0	1	1
Done	1	4	5
Total	535	20	555

Error

Counts

555 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))
▶	15.7b	(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
▶	31.8b	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
✓	0.4b	(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
	9.1b	(cbrt.f64 (/.f64 1 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)))
	30.3b	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	1.4b	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
	5.1b	(*.f64 (atan2.f64 im re) (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1))
✓	9.1b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	0.7b	(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 6))))
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	31.5b	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
	0.5b	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
	31.9b	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3) 1/3))
	1.2b	(*.f64 (/.f64 (atan2.f64 im re) 1) (pow.f64 (cbrt.f64 (log.f64 base)) -3))
✓	0.4b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
	1.3b	(*.f64 (atan2.f64 im re) (pow.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) 3))
▶	0.4b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	31.5b	(*.f64 (/.f64 (atan2.f64 im re) 1) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
✓	33.8b	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)

Compiler

Compiled 467 to 352 computations (24.6% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	0.3b	(/.f64 (log.f64 base) (atan2.f64 im re))

Compiler

Compiled 26 to 9 computations (65.4% saved)

series8.0ms (0.1%)

Counts

2 → 44

Calls

18 calls:

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

rewrite183.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

859×	`pow1_binary64`
788×	`add-log-exp_binary64`
788×	`log1p-expm1-u_binary64`
788×	`expm1-log1p-u_binary64`
769×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	180	18
2	2214	18

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

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

simplify125.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

761×	`div-sub_binary64`
682×	`fma-def_binary64`
631×	`associate--r-_binary64`
613×	`fma-neg_binary64`
419×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	428
1	39	428
2	60	396
3	123	396
4	282	396
5	888	396
6	2818	396
7	5694	396
8	6968	396
9	7246	396
10	7429	396
11	7535	396

Stop Event

1×	node limit

Counts

111 → 73

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))

Outputs
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(neg.f64 (/.f64 (neg.f64 (log.f64 base)) (atan2.f64 im re)))
(/.f64 (neg.f64 (neg.f64 (log.f64 base))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base)))
	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	4.4b	(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)

Compiler

Compiled 36 to 13 computations (63.9% saved)

series5.0ms (0.1%)

Counts

2 → 44

Calls

18 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

450×	`log-prod_binary64`
443×	`prod-diff_binary64`
376×	`fma-def_binary64`
257×	`pow2_binary64`
252×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	215	21
2	2965	21

Stop Event

1×	node limit

Counts

2 → 169

Calls

Call 1

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

Outputs

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

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

simplify172.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

753×	`div-sub_binary64`
655×	`fma-neg_binary64`
596×	`associate--r-_binary64`
502×	`fma-def_binary64`
416×	`associate--l-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	452
1	36	436
2	52	436
3	100	420
4	214	420
5	625	420
6	2465	420
7	4998	420
8	6268	420
9	6527	420
10	6669	420
11	6777	420

Stop Event

1×	node limit

Counts

213 → 174

Calls

Call 1

Inputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(+.f64 1 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(+.f64 1 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(+.f64 1 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(+.f64 1 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(+.f64 1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(+.f64 1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(+.f64 1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(+.f64 1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))

Outputs
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(+.f64 1 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(+.f64 1 (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(+.f64 1 (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(+.f64 1 (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(+.f64 1 (*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(+.f64 1 (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(+.f64 1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(+.f64 1 (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(+.f64 1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(+.f64 1 (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(+.f64 1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(+.f64 1 (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)
(+.f64 1 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(+.f64 1 (neg.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(-.f64 1 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base))))
(+.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1)

localize33.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (log.f64 base))
✓	0.2b	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
✓	0.5b	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))

Compiler

Compiled 32 to 9 computations (71.9% saved)

series139.0ms (1.4%)

Counts

3 → 52

Calls

15 calls:

Time	Variable		Point	Expression
37.0ms	base	@	0	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
31.0ms	re	@	0	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
30.0ms	base	@	inf	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
20.0ms	base	@	-inf	(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
14.0ms	im	@	0	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))

rewrite67.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`pow1_binary64`
654×	`add-log-exp_binary64`
652×	`log1p-expm1-u_binary64`
652×	`expm1-log1p-u_binary64`
639×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	191	17
2	2265	17

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (log.f64 (log.f64 base))))
(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
(log.f64 (log.f64 base))

Outputs

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

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

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

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

915×	`fma-neg_binary64`
717×	`div-sub_binary64`
256×	`log-prod_binary64`
187×	`neg-mul-1_binary64`
179×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	716
1	56	520
2	101	412
3	203	412
4	423	412
5	1052	412
6	3720	412
7	7316	412

Stop Event

1×	node limit

Counts

125 → 81

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))))
(exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))))
(exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))))
(exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (.f64 -1 (log.f64 (/.f64 1 base)))))))
(.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (.f64 -1 (log.f64 (/.f64 1 base)))))))
(.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (.f64 -1 (log.f64 (/.f64 1 base)))))))
(.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (.f64 -1 (log.f64 (/.f64 1 base)))))))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))

Outputs
(exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))))
(exp.f64 (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
(/.f64 1 (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))))
(exp.f64 (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
(/.f64 1 (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))))
(exp.f64 (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
(/.f64 1 (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))))
(exp.f64 (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
(/.f64 1 (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
(exp.f64 (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
(/.f64 1 (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
(exp.f64 (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
(/.f64 1 (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
(exp.f64 (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
(/.f64 1 (log.f64 base))
(exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))))
(exp.f64 (neg.f64 (log.f64 (neg.f64 (neg.f64 (log.f64 base))))))
(/.f64 1 (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (.f64 -1 (log.f64 (/.f64 1 base)))))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (.f64 -1 (log.f64 (/.f64 1 base)))))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (.f64 -1 (log.f64 (/.f64 1 base)))))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (.f64 -1 (log.f64 (/.f64 1 base)))))))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))) (atan2.f64 im re))
(*.f64 (exp.f64 (neg.f64 (log.f64 (log.f64 base)))) (atan2.f64 im re))
(/.f64 (*.f64 1 (atan2.f64 im re)) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(log.f64 (*.f64 -1 (log.f64 (/.f64 1 base))))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))
(log.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(log.f64 (neg.f64 (neg.f64 (log.f64 base))))
(log.f64 (log.f64 base))

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 18 computations (45.5% saved)

series11.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`pow1_binary64`
855×	`add-log-exp_binary64`
855×	`log1p-expm1-u_binary64`
855×	`expm1-log1p-u_binary64`
834×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	226	24
2	2432	24

Stop Event

1×	node limit

Counts

3 → 49

Calls

Call 1

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

Outputs

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

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

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

simplify137.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

742×	`div-sub_binary64`
618×	`fma-neg_binary64`
613×	`associate--r-_binary64`
497×	`fma-def_binary64`
418×	`associate--l-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	520
1	42	520
2	55	512
3	102	512
4	209	512
5	611	512
6	2471	512
7	4965	512
8	6217	512
9	6481	512
10	6621	512
11	6729	512

Stop Event

1×	node limit

Counts

109 → 57

Calls

Call 1

Inputs
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))

Outputs
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (log.f64 (/.f64 1 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (neg.f64 (log.f64 base)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 -1 (log.f64 base))))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (log.f64 base)))
(sqrt.f64 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(sqrt.f64 (/.f64 1 (log.f64 base)))

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (log.f64 base))
✓	0.2b	(*.f64 (/.f64 (atan2.f64 im re) 1) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
✓	0.3b	(pow.f64 (sqrt.f64 (log.f64 base)) -2)

Compiler

Compiled 37 to 17 computations (54.1% saved)

series7.0ms (0.1%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	base	@	inf	(pow.f64 (sqrt.f64 (log.f64 base)) -2)
1.0ms	base	@	0	(pow.f64 (sqrt.f64 (log.f64 base)) -2)
1.0ms	base	@	-inf	(pow.f64 (sqrt.f64 (log.f64 base)) -2)
0.0ms	base	@	inf	(sqrt.f64 (log.f64 base))
0.0ms	base	@	-inf	(*.f64 (/.f64 (atan2.f64 im re) 1) (pow.f64 (sqrt.f64 (log.f64 base)) -2))

rewrite66.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`pow1_binary64`
859×	`add-log-exp_binary64`
857×	`log1p-expm1-u_binary64`
857×	`expm1-log1p-u_binary64`
837×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	245	23
2	2464	23

Stop Event

1×	node limit

Counts

3 → 58

Calls

Call 1

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

Outputs

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

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

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

518×	`fma-neg_binary64`
493×	`associate-/r*_binary64`
364×	`div-sub_binary64`
362×	`associate-l_binary64`
361×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	504
1	50	496
2	85	496
3	176	464
4	601	464
5	3970	464

Stop Event

1×	node limit

Counts

114 → 67

Calls

Call 1

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

Outputs
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base))))
(/.f64 1 (log.f64 base))
(/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base))))
(/.f64 1 (log.f64 base))
(/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base))))
(/.f64 1 (log.f64 base))
(/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (log.f64 (/.f64 1 base))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 (/.f64 1 base))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 base))))
(sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(sqrt.f64 (log.f64 base))
(sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(sqrt.f64 (log.f64 base))
(sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(sqrt.f64 (log.f64 base))
(sqrt.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(sqrt.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 base)))))
(sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 base))))
(sqrt.f64 (log.f64 base))

eval367.0ms (3.8%)

Compiler: Compiled 6925 to 3024 computations (56.3% saved)

prune196.0ms (2%)

Pruning

20 alts after pruning (11 fresh and 9 done)

	Pruned	Kept	Total
New	482	4	486
Fresh	3	7	10
Picked	0	1	1
Done	1	8	9
Total	486	20	506

Error

Counts

506 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))
✓	15.7b	(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
	9.1b	(cbrt.f64 (/.f64 1 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)))
	30.3b	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
▶	1.4b	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
▶	5.1b	(*.f64 (atan2.f64 im re) (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1))
	9.0b	(/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 3)))
✓	9.1b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	0.7b	(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 6))))
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	31.5b	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
▶	1.2b	(*.f64 (/.f64 (atan2.f64 im re) 1) (pow.f64 (cbrt.f64 (log.f64 base)) -3))
✓	0.4b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	31.8b	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
▶	32.7b	(/.f64 1 (expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
	13.1b	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
▶	0.5b	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
✓	0.4b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	31.5b	(*.f64 (/.f64 (atan2.f64 im re) 1) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
✓	33.8b	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)

Compiler

Compiled 410 to 309 computations (24.6% saved)

localize48.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (atan2.f64 im re))
✓	0.2b	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
✓	0.4b	(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))

Compiler

Compiled 35 to 16 computations (54.3% saved)

series8.0ms (0.1%)

Counts

3 → 72

Calls

24 calls:

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

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

904×	`pow1_binary64`
827×	`add-log-exp_binary64`
827×	`log1p-expm1-u_binary64`
827×	`expm1-log1p-u_binary64`
807×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	199	25
2	2400	25

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

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

Outputs

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

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

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

simplify138.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

778×	`div-sub_binary64`
691×	`fma-def_binary64`
622×	`associate--r-_binary64`
613×	`fma-neg_binary64`
421×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	648
1	40	648
2	60	648
3	123	648
4	282	648
5	893	648
6	2830	648
7	5702	648
8	7012	648
9	7291	648
10	7471	648
11	7577	648

Stop Event

1×	node limit

Counts

145 → 78

Calls

Call 1

Inputs
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))

Outputs
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (/.f64 1 (log.f64 base)))
✓	0.3b	(*.f64 (atan2.f64 im re) (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1))
	0.3b	(/.f64 1 (log.f64 base))
✓	5.6b	(-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1)

Compiler

Compiled 42 to 25 computations (40.5% saved)

series10.0ms (0.1%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
6.0ms	re	@	0	(*.f64 (atan2.f64 im re) (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1))
0.0ms	re	@	inf	(*.f64 (atan2.f64 im re) (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1))
0.0ms	base	@	-inf	(-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1)
0.0ms	base	@	0	(-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1)
0.0ms	base	@	-inf	(+.f64 1 (/.f64 1 (log.f64 base)))

rewrite129.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

478×	`log-prod_binary64`
300×	`fma-def_binary64`
298×	`pow-prod-down_binary64`
273×	`pow2_binary64`
241×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	233	27
2	3138	27

Stop Event

1×	node limit

Counts

3 → 176

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1)
(*.f64 (atan2.f64 im re) (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1))
(+.f64 1 (/.f64 1 (log.f64 base)))

Outputs

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

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

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

simplify129.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

798×	`div-sub_binary64`
624×	`fma-neg_binary64`
617×	`associate--r-_binary64`
562×	`fma-def_binary64`
410×	`associate--l-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	484
1	41	484
2	58	468
3	111	468
4	228	468
5	677	468
6	2681	468
7	5238	468
8	6500	468
9	6755	468
10	6893	468
11	7001	468

Stop Event

1×	node limit

Counts

232 → 184

Calls

Call 1

Inputs
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(-.f64 1 (/.f64 1 (log.f64 (/.f64 1 base))))
(-.f64 1 (/.f64 1 (log.f64 (/.f64 1 base))))
(-.f64 1 (/.f64 1 (log.f64 (/.f64 1 base))))
(-.f64 1 (/.f64 1 (log.f64 (/.f64 1 base))))
(+.f64 1 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(+.f64 1 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(+.f64 1 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(+.f64 1 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))

Outputs
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 -1 (log.f64 (/.f64 1 base)))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 1 (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(-.f64 1 (/.f64 1 (log.f64 (/.f64 1 base))))
(-.f64 1 (/.f64 1 (neg.f64 (log.f64 base))))
(+.f64 1 (/.f64 -1 (neg.f64 (log.f64 base))))
(+.f64 1 (/.f64 1 (log.f64 base)))
(-.f64 1 (/.f64 1 (log.f64 (/.f64 1 base))))
(-.f64 1 (/.f64 1 (neg.f64 (log.f64 base))))
(+.f64 1 (/.f64 -1 (neg.f64 (log.f64 base))))
(+.f64 1 (/.f64 1 (log.f64 base)))
(-.f64 1 (/.f64 1 (log.f64 (/.f64 1 base))))
(-.f64 1 (/.f64 1 (neg.f64 (log.f64 base))))
(+.f64 1 (/.f64 -1 (neg.f64 (log.f64 base))))
(+.f64 1 (/.f64 1 (log.f64 base)))
(-.f64 1 (/.f64 1 (log.f64 (/.f64 1 base))))
(-.f64 1 (/.f64 1 (neg.f64 (log.f64 base))))
(+.f64 1 (/.f64 -1 (neg.f64 (log.f64 base))))
(+.f64 1 (/.f64 1 (log.f64 base)))
(+.f64 1 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(-.f64 1 (/.f64 1 (neg.f64 (log.f64 base))))
(+.f64 1 (/.f64 -1 (neg.f64 (log.f64 base))))
(+.f64 1 (/.f64 1 (log.f64 base)))
(+.f64 1 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(-.f64 1 (/.f64 1 (neg.f64 (log.f64 base))))
(+.f64 1 (/.f64 -1 (neg.f64 (log.f64 base))))
(+.f64 1 (/.f64 1 (log.f64 base)))
(+.f64 1 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(-.f64 1 (/.f64 1 (neg.f64 (log.f64 base))))
(+.f64 1 (/.f64 -1 (neg.f64 (log.f64 base))))
(+.f64 1 (/.f64 1 (log.f64 base)))
(+.f64 1 (/.f64 1 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))))
(-.f64 1 (/.f64 1 (neg.f64 (log.f64 base))))
(+.f64 1 (/.f64 -1 (neg.f64 (log.f64 base))))
(+.f64 1 (/.f64 1 (log.f64 base)))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	5.1b	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

Compiler

Compiled 34 to 10 computations (70.6% saved)

series25.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

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

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

877×	`pow1_binary64`
816×	`add-log-exp_binary64`
816×	`log1p-expm1-u_binary64`
816×	`expm1-log1p-u_binary64`
796×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	208	20
2	2257	20

Stop Event

1×	node limit

Counts

2 → 72

Calls

Call 1

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

Outputs

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

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

simplify124.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

828×	`div-sub_binary64`
656×	`fma-neg_binary64`
524×	`fma-def_binary64`
418×	`unswap-sqr_binary64`
326×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	748
1	76	748
2	128	748
3	244	748
4	550	748
5	1506	748
6	3431	748
7	6745	748

Stop Event

1×	node limit

Counts

144 → 79

Calls

Call 1

Inputs
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))

Outputs
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))
(.f64 (pow.f64 (/.f64 (.f64 1 (atan2.f64 im re)) (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (atan2.f64 im re) (neg.f64 (log.f64 base)))))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (/.f64 (neg.f64 (atan2.f64 im re)) (log.f64 base))))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(pow.f64 (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base))))) 1/3)
(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) (pow.f64 1 1/3))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(.f64 (pow.f64 1 1/3) (/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
	0.3b	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	0.9b	(expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
✓	2.9b	(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))

Compiler

Compiled 43 to 11 computations (74.4% saved)

series241.0ms (2.5%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
97.0ms	base	@	inf	(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
31.0ms	re	@	inf	(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
21.0ms	base	@	-inf	(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
20.0ms	im	@	-inf	(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
20.0ms	im	@	inf	(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`pow1_binary64`
851×	`expm1-log1p-u_binary64`
850×	`add-log-exp_binary64`
850×	`log1p-expm1-u_binary64`
830×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	199	29
2	2386	29

Stop Event

1×	node limit

Counts

3 → 98

Calls

Call 1

Inputs
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 1 (expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))

Outputs

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

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

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

simplify184.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

739×	`div-sub_binary64`
491×	`fma-def_binary64`
453×	`sub-neg_binary64`
407×	`associate-/l*_binary64`
290×	`unsub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	1044
1	64	1044
2	103	1044
3	200	1044
4	479	1044
5	1503	1044
6	4415	1044
7	5968	1044
8	7135	1044
9	7603	1044
10	7739	1044
11	7795	1044
12	7806	1044

Stop Event

1×	node limit

Counts

206 → 107

Calls

Call 1

Inputs
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 base)) (atan2.f64 im re))) (/.f64 (log.f64 -1) (atan2.f64 im re)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 base)) (atan2.f64 im re))) (/.f64 (log.f64 -1) (atan2.f64 im re)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 base)) (atan2.f64 im re))) (/.f64 (log.f64 -1) (atan2.f64 im re)))))
(log.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 base)) (atan2.f64 im re))) (/.f64 (log.f64 -1) (atan2.f64 im re)))))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))

Outputs
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 base)) (atan2.f64 im re))) (/.f64 (log.f64 -1) (atan2.f64 im re)))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 base)) (atan2.f64 im re))) (/.f64 (log.f64 -1) (atan2.f64 im re)))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 base)) (atan2.f64 im re))) (/.f64 (log.f64 -1) (atan2.f64 im re)))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 base)) (atan2.f64 im re))) (/.f64 (log.f64 -1) (atan2.f64 im re)))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) 1))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(log.f64 (+.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re))))
(log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 base)) (atan2.f64 im re)))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (log.f64 base) (atan2.f64 im re))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 (atan2.f64 im re) 1) (pow.f64 (cbrt.f64 (log.f64 base)) -3))
✓	0.5b	(cbrt.f64 (log.f64 base))
✓	0.8b	(pow.f64 (cbrt.f64 (log.f64 base)) -3)

Compiler

Compiled 37 to 17 computations (54.1% saved)

series15.0ms (0.2%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	base	@	inf	(cbrt.f64 (log.f64 base))
3.0ms	base	@	-inf	(pow.f64 (cbrt.f64 (log.f64 base)) -3)
3.0ms	base	@	inf	(pow.f64 (cbrt.f64 (log.f64 base)) -3)
3.0ms	base	@	0	(pow.f64 (cbrt.f64 (log.f64 base)) -3)
0.0ms	base	@	0	(cbrt.f64 (log.f64 base))

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`pow1_binary64`
869×	`add-log-exp_binary64`
868×	`log1p-expm1-u_binary64`
868×	`expm1-log1p-u_binary64`
848×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	243	23
2	2455	23

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (log.f64 base)) -3)
(cbrt.f64 (log.f64 base))
(*.f64 (/.f64 (atan2.f64 im re) 1) (pow.f64 (cbrt.f64 (log.f64 base)) -3))

Outputs

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

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

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

simplify112.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

786×	`div-sub_binary64`
623×	`fma-def_binary64`
580×	`fma-neg_binary64`
418×	`unswap-sqr_binary64`
388×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	484
1	79	484
2	127	484
3	236	484
4	509	484
5	1373	484
6	3574	484
7	6842	484

Stop Event

1×	node limit

Counts

114 → 65

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 1 1/3))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 1 1/3))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 (/.f64 1 base)))))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 (/.f64 1 base)))))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 (/.f64 1 base)))))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 (/.f64 1 base)))))
(.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(pow.f64 (log.f64 base) 1/3)
(pow.f64 (log.f64 base) 1/3)
(pow.f64 (log.f64 base) 1/3)
(pow.f64 (log.f64 base) 1/3)
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 1/3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 1/3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 1/3)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 1/3)
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))

Outputs
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 1 1/3))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 1 1/3))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 1 1/3))
(/.f64 1 (log.f64 base))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 1 1/3))
(/.f64 1 (log.f64 base))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 (/.f64 1 base)))))
(/.f64 1 (log.f64 base))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 (/.f64 1 base)))))
(/.f64 1 (log.f64 base))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 (/.f64 1 base)))))
(/.f64 1 (log.f64 base))
(.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 1 (log.f64 (/.f64 1 base)))))
(/.f64 1 (log.f64 base))
(.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 1 (log.f64 base))
(.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 1 (log.f64 base))
(.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 1 (log.f64 base))
(.f64 (pow.f64 1 1/3) (/.f64 1 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 base))))))
(/.f64 1 (log.f64 base))
(pow.f64 (log.f64 base) 1/3)
(cbrt.f64 (log.f64 base))
(pow.f64 (log.f64 base) 1/3)
(cbrt.f64 (log.f64 base))
(pow.f64 (log.f64 base) 1/3)
(cbrt.f64 (log.f64 base))
(pow.f64 (log.f64 base) 1/3)
(cbrt.f64 (log.f64 base))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (cbrt.f64 -1))
(.f64 (pow.f64 (.f64 1 (log.f64 (/.f64 1 base))) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 (neg.f64 (log.f64 base))) (cbrt.f64 -1))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 1/3)
(cbrt.f64 (log.f64 base))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 1/3)
(cbrt.f64 (log.f64 base))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 1/3)
(cbrt.f64 (log.f64 base))
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 1/3)
(cbrt.f64 (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(*.f64 -1 (/.f64 (atan2.f64 im re) (log.f64 (/.f64 1 base))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))))
(/.f64 (atan2.f64 im re) (log.f64 base))

eval353.0ms (3.6%)

Compiler: Compiled 8745 to 4256 computations (51.3% saved)

prune168.0ms (1.7%)

Pruning

21 alts after pruning (9 fresh and 12 done)

	Pruned	Kept	Total
New	598	6	604
Fresh	3	3	6
Picked	1	0	1
Done	1	12	13
Total	603	21	624

Error

Counts

624 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	31.5b	(*.f64 (atan2.f64 im re) (pow.f64 (sqrt.f64 (log.f64 base)) -2))
	0.5b	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))
✓	15.7b	(-.f64 (+.f64 1 (/.f64 (atan2.f64 im re) (log.f64 base))) 1)
✓	1.4b	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	5.1b	(*.f64 (atan2.f64 im re) (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1))
	1.2b	(*.f64 (atan2.f64 im re) (pow.f64 (cbrt.f64 (log.f64 base)) -3))
	13.1b	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
✓	9.1b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	0.7b	(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (log.f64 base) (cbrt.f64 (pow.f64 (log.f64 base) 6))))
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
	0.5b	(/.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
✓	31.5b	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) -1/2) 2))
	30.3b	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	31.9b	(*.f64 (atan2.f64 im re) (pow.f64 (pow.f64 (log.f64 base) 3) -1/3))
✓	0.5b	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
✓	33.8b	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3) 1/3)
	1.3b	(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3)
✓	0.4b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	31.8b	(*.f64 (atan2.f64 im re) (exp.f64 (neg.f64 (log.f64 (log.f64 base)))))
✓	32.7b	(/.f64 1 (expm1.f64 (log1p.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))
✓	0.4b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))

Compiler

Compiled 269 to 202 computations (24.9% saved)

regimes105.0ms (1.1%)

Accuracy

Total -56.9b remaining (-17125.6%)

Threshold costs -56.9b (-17125.6%)

Counts

41 → 1

Calls

Call 1

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

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

Calls

5 calls:

19.0ms	base
19.0ms	im
19.0ms	(log.f64 base)
19.0ms	re
15.0ms	(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))

Results

Error	Segments	Branch
0.3b	1	`re`
0.3b	1	`im`
0.3b	1	`base`
0.3b	1	`(/.f64 (-.f64 (.f64 (atan2.f64 im re) (log.f64 base)) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))`
0.3b	1	`(log.f64 base)`

Compiler

Compiled 498 to 227 computations (54.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 9 to 6 computations (33.3% saved)

soundness172.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

877×	`fma-def_binary64`
692×	`fma-neg_binary64`
640×	`cube-prod_binary64`
454×	`associate-/l*_binary64`
447×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	20
1	41	19
2	68	12
3	94	9
4	115	9
5	273	9
6	1067	9
7	2495	9
8	3545	9
9	5304	9
10	5909	9
11	6994	9

Stop Event

1×	node limit

Compiler

Compiled 138 to 86 computations (37.7% saved)

end14.0ms (0.1%)

Compiler: Compiled 9 to 6 computations (33.3% saved)