Details

analyze319.0ms (2.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
33.3%	25%	49.9%	0.1%	0%	25%	0%	7
33.3%	25%	49.9%	0.1%	0%	25%	0%	8
33.3%	25%	49.9%	0.1%	0%	25%	0%	9
60%	37.4%	25%	0.1%	0%	37.4%	0%	10
60%	37.4%	25%	0.1%	0%	37.4%	0%	11
60%	37.4%	25%	0.1%	0%	37.4%	0%	12

Compiler

Compiled 32 to 21 computations (34.4% saved)

sample2.8s (25.5%)

Results

2.3s	8256×	body	256	valid
567.0ms	2117×	body	256	invalid

Bogosity

preprocess99.0ms (0.9%)

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)

simplify83.0ms (0.7%)

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

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	33.4b	(/.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))

▶

33.4b

(/.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)

localize71.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (atan2.f64 im re) (log.f64 base))
✓	0.4b	(/.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)))
✓	0.5b	(*.f64 (log.f64 base) (log.f64 base))
✓	31.0b	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 122 to 33 computations (73% saved)

series153.0ms (1.4%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
40.0ms	base	@	0	(*.f64 (log.f64 base) (log.f64 base))
33.0ms	base	@	-inf	(*.f64 (log.f64 base) (log.f64 base))
27.0ms	im	@	0	(/.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)))
13.0ms	re	@	0	(/.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)))
12.0ms	base	@	inf	(*.f64 (log.f64 base) (log.f64 base))

rewrite143.0ms (1.3%)

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

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)))))
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((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)))))))))

simplify118.0ms (1.1%)

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	2594	1174
4	7121	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 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (atan2.f64 im re) (log.f64 base))
(/.f64 (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 (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))

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

localize44.0ms (0.4%)

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	re	@	inf	(/.f64 (atan2.f64 im re) (log.f64 base))
0.0ms	im	@	-inf	(/.f64 (atan2.f64 im re) (log.f64 base))
0.0ms	base	@	inf	(/.f64 (atan2.f64 im re) (log.f64 base))

rewrite49.0ms (0.4%)

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))))))))

simplify114.0ms (1%)

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))

eval110.0ms (1%)

Compiler: Compiled 7965 to 3054 computations (61.7% saved)

prune160.0ms (1.4%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	272	16	288
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	273	17	290

Error

0.0b

Counts

290 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	29.0b	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	1.2b	(.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)))
	49.0b	(/.f64 (-.f64 (exp.f64 (log.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))) 0)) (+.f64 (.f64 (log.f64 base) (log.f64 base)) (.f64 0 0)))
▶	1.4b	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
▶	0.4b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	0.4b	(.f64 (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 1 (neg.f64 (pow.f64 (log.f64 base) 2))))
	7.6b	(cbrt.f64 (/.f64 (pow.f64 (atan2.f64 im re) 3) (pow.f64 (log.f64 base) 3)))
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
	0.5b	(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
	0.4b	(pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1)
▶	1.0b	(.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)))
▶	0.4b	(neg.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) 2))))
	36.3b	(*.f64 (/.f64 1 (sqrt.f64 (log.f64 base))) (/.f64 (atan2.f64 im re) (sqrt.f64 (log.f64 base))))
	0.4b	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (atan2.f64 im re)))
	0.5b	(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 6)) (pow.f64 (log.f64 base) 4))
	29.7b	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	7.6b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 537 to 362 computations (32.6% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 52 to 21 computations (59.6% saved)

series29.0ms (0.3%)

Counts

3 → 52

Calls

21 calls:

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

rewrite74.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`log-prod_binary64`
412×	`exp-prod_binary64`
285×	`pow-prod-down_binary64`
257×	`pow2_binary64`
196×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	228	32
2	2993	24

Stop Event

1×	node limit

Counts

3 → 130

Calls

Call 1

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

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

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

788×	`fma-neg_binary64`
485×	`associate-l_binary64`
472×	`fma-def_binary64`
302×	`unsub-neg_binary64`
292×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	564
1	55	564
2	112	532
3	302	516
4	1115	516
5	4396	516

Stop Event

1×	node limit

Counts

182 → 139

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

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

localize79.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 11 computations (54.2% saved)

series5.0ms (0%)

Counts

2 → 44

Calls

12 calls:

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

rewrite58.0ms (0.5%)

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

simplify130.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

748×	`div-sub_binary64`
628×	`fma-neg_binary64`
596×	`associate--r-_binary64`
494×	`fma-def_binary64`
413×	`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	598	372
6	2425	372
7	4939	372
8	6202	372
9	6464	372
10	6600	372
11	6708	372

Stop Event

1×	node limit

Counts

88 → 49

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 (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)))))

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 (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))

localize24.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	5.6b	(cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

Compiler

Compiled 34 to 10 computations (70.6% saved)

series26.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite119.0ms (1.1%)

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))))))))

simplify101.0ms (0.9%)

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))

localize113.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 57 to 25 computations (56.1% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite96.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

596×	`log-prod_binary64`
334×	`pow-prod-down_binary64`
317×	`pow-unpow_binary64`
284×	`pow2_binary64`
201×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	32
1	287	26
2	3598	18

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

524×	`unswap-sqr_binary64`
477×	`associate-l_binary64`
460×	`associate-r_binary64`
419×	`fma-def_binary64`
405×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	432
1	49	432
2	89	432
3	260	432
4	1109	432
5	5228	432

Stop Event

1×	node limit

Counts

119 → 77

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 -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))
(/.f64 -1 (pow.f64 (log.f64 base) 2))
(/.f64 -1 (pow.f64 (log.f64 base) 2))
(/.f64 -1 (pow.f64 (log.f64 base) 2))
(/.f64 -1 (pow.f64 (log.f64 base) 2))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))

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 -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))
(/.f64 -1 (pow.f64 (log.f64 base) 2))
(/.f64 -1 (pow.f64 (log.f64 base) 2))
(/.f64 -1 (pow.f64 (log.f64 base) 2))
(/.f64 -1 (pow.f64 (log.f64 base) 2))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 -1 (pow.f64 (log.f64 base) 2))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 -1 (pow.f64 (log.f64 base) 2))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 -1 (pow.f64 (log.f64 base) 2))
(/.f64 -1 (pow.f64 (log.f64 (/.f64 1 base)) 2))
(/.f64 -1 (pow.f64 (log.f64 base) 2))
(/.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 -1 (pow.f64 (log.f64 base) 2))
(/.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 -1 (pow.f64 (log.f64 base) 2))
(/.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 -1 (pow.f64 (log.f64 base) 2))
(/.f64 -1 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2))
(/.f64 -1 (pow.f64 (log.f64 base) 2))

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (log.f64 base)) 2)
✓	0.5b	(cbrt.f64 (log.f64 base))
✓	0.5b	(cbrt.f64 (pow.f64 (log.f64 base) 4))
✓	0.8b	(pow.f64 (log.f64 base) 4)

Compiler

Compiled 76 to 34 computations (55.3% saved)

series30.0ms (0.3%)

Counts

4 → 44

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	base	@	inf	(cbrt.f64 (log.f64 base))
3.0ms	base	@	-inf	(cbrt.f64 (pow.f64 (log.f64 base) 4))
2.0ms	base	@	-inf	(cbrt.f64 (log.f64 base))
2.0ms	base	@	0	(cbrt.f64 (pow.f64 (log.f64 base) 4))
2.0ms	base	@	0	(cbrt.f64 (log.f64 base))

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`pow1_binary64`
569×	`add-log-exp_binary64`
569×	`log1p-expm1-u_binary64`
569×	`expm1-log1p-u_binary64`
553×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	178	27
2	1802	27

Stop Event

1×	node limit

Counts

4 → 78

Calls

Call 1

Inputs
(pow.f64 (log.f64 base) 4)
(cbrt.f64 (pow.f64 (log.f64 base) 4))
(cbrt.f64 (log.f64 base))
(pow.f64 (cbrt.f64 (log.f64 base)) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (log.f64 base) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 base) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4) (cbrt.f64 (pow.f64 (log.f64 base) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (log.f64 base) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log.f64 base) 8)) (pow.f64 (cbrt.f64 (log.f64 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 base) 2) (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 4) (pow.f64 (cbrt.f64 (log.f64 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (log.f64 base)) 4) (pow.f64 (sqrt.f64 (log.f64 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 base) 8)) 1) (pow.f64 (cbrt.f64 (log.f64 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 base) 8)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 8)))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (pow.f64 (log.f64 base) 8)) (pow.f64 (cbrt.f64 (log.f64 base)) 2)) (pow.f64 (cbrt.f64 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 base) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 base) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 base) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 4 (log.f64 (log.f64 base))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 base) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 base)) (log.f64 base))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (log.f64 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2) (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 8))) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 (log.f64 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (log.f64 base) 8)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 base) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 base) 4) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 base)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)))))))
((#(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 (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 (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 (log.f64 base) 1/6) (pow.f64 (log.f64 base) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2)))))) (#(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 (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 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1/2)))) (#(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 fabs.f64 (cbrt.f64 (log.f64 base)))))) (#(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 (pow.f64 (cbrt.f64 (log.f64 base)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 base)) (cbrt.f64 (log.f64 base)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.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 (pow.f64 (cbrt.f64 (log.f64 base)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2) (.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 base)) (pow.f64 (log.f64 base) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 base) 1/6) (.f64 (pow.f64 (log.f64 base) 1/6) (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (log.f64 base) 8)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (log.f64 base)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 base))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 base))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 base) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (log.f64 base)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2 (log.f64 (cbrt.f64 (log.f64 base)))))))))

simplify68.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

682×	`fma-def_binary64`
505×	`associate-l_binary64`
412×	`fma-neg_binary64`
408×	`associate-r_binary64`
327×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	384
1	98	360
2	181	360
3	606	360
4	3272	360
5	6162	360

Stop Event

1×	node limit

Counts

122 → 92

Calls

Call 1

Inputs
(pow.f64 (log.f64 (/.f64 1 base)) 4)
(pow.f64 (log.f64 (/.f64 1 base)) 4)
(pow.f64 (log.f64 (/.f64 1 base)) 4)
(pow.f64 (log.f64 (/.f64 1 base)) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4)
(pow.f64 (pow.f64 (log.f64 base) 4) 1/3)
(pow.f64 (pow.f64 (log.f64 base) 4) 1/3)
(pow.f64 (pow.f64 (log.f64 base) 4) 1/3)
(pow.f64 (pow.f64 (log.f64 base) 4) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 base)) 4) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 base)) 4) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 base)) 4) 1/3)
(pow.f64 (pow.f64 (log.f64 (/.f64 1 base)) 4) 1/3)
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4) 1/3)
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4) 1/3)
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4) 1/3)
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4) 1/3)
(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)
(pow.f64 (pow.f64 (log.f64 base) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 base) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 base) 2) 1/3)
(pow.f64 (pow.f64 (log.f64 base) 2) 1/3)
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) 1/3)
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) 1/3)

Outputs
(pow.f64 (log.f64 (/.f64 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) 4)
(pow.f64 (log.f64 base) 4)
(pow.f64 (log.f64 (/.f64 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) 4)
(pow.f64 (log.f64 base) 4)
(pow.f64 (log.f64 (/.f64 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) 4)
(pow.f64 (log.f64 base) 4)
(pow.f64 (log.f64 (/.f64 1 base)) 4)
(pow.f64 (neg.f64 (log.f64 base)) 4)
(pow.f64 (log.f64 base) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4)
(pow.f64 (neg.f64 (log.f64 base)) 4)
(pow.f64 (log.f64 base) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4)
(pow.f64 (neg.f64 (log.f64 base)) 4)
(pow.f64 (log.f64 base) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4)
(pow.f64 (neg.f64 (log.f64 base)) 4)
(pow.f64 (log.f64 base) 4)
(pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4)
(pow.f64 (neg.f64 (log.f64 base)) 4)
(pow.f64 (log.f64 base) 4)
(pow.f64 (pow.f64 (log.f64 base) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 4))
(pow.f64 (pow.f64 (log.f64 base) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 4))
(pow.f64 (pow.f64 (log.f64 base) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 4))
(pow.f64 (pow.f64 (log.f64 base) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 4))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 base)) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 4))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 base)) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 4))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 base)) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 4))
(pow.f64 (pow.f64 (log.f64 (/.f64 1 base)) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 4))
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 4))
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 4))
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 4))
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 4) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 4))
(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))
(pow.f64 (pow.f64 (log.f64 base) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 2))
(pow.f64 (pow.f64 (log.f64 base) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 2))
(pow.f64 (pow.f64 (log.f64 base) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 2))
(pow.f64 (pow.f64 (log.f64 base) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 base)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 base)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 base)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (pow.f64 (.f64 1 (pow.f64 (log.f64 (/.f64 1 base)) 2)) 1/3) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (neg.f64 (log.f64 base)) 2)) (pow.f64 (cbrt.f64 -1) 2))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 base) 2)) (pow.f64 (cbrt.f64 -1) 2))
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 2))
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 2))
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 2))
(pow.f64 (pow.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 -1 base)))) 2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 base) 2))

eval271.0ms (2.4%)

Compiler: Compiled 8927 to 3888 computations (56.4% saved)

prune337.0ms (3%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	527	10	537
Fresh	7	4	11
Picked	1	0	1
Done	2	3	5
Total	537	17	554

Error

Counts

554 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
	5.1b	(*.f64 (atan2.f64 im re) (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1))
✓	1.4b	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	0.4b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	1.3b	(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3)
	0.8b	(.f64 (atan2.f64 im re) (.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2))))
	0.4b	(.f64 (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 -1 (pow.f64 (log.f64 base) 2)))
	5.2b	(*.f64 (atan2.f64 im re) (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))))
	0.4b	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (atan2.f64 im re)))
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
▶	0.4b	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))
▶	0.4b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
	29.7b	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
	0.5b	(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
	29.0b	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
▶	7.6b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
▶	29.7b	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3) 3)

Compiler

Compiled 420 to 307 computations (26.9% saved)

localize114.0ms (1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 12 computations (63.6% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`log-prod_binary64`
392×	`exp-prod_binary64`
318×	`prod-exp_binary64`
289×	`pow-prod-down_binary64`
257×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	205	17
2	2520	9

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

Outputs

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

simplify187.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

802×	`div-sub_binary64`
628×	`fma-neg_binary64`
599×	`associate--r-_binary64`
494×	`fma-def_binary64`
413×	`associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	324
1	32	324
2	45	324
3	90	324
4	195	324
5	595	324
6	2423	324
7	4970	324
8	6290	324
9	6550	324
10	6688	324
11	6796	324

Stop Event

1×	node limit

Counts

100 → 67

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

localize20.0ms (0.2%)

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)

series103.0ms (0.9%)

Counts

2 → 44

Calls

18 calls:

Time	Variable		Point	Expression
89.0ms	base	@	-inf	(/.f64 (log.f64 base) (atan2.f64 im re))
1.0ms	base	@	0	(/.f64 (log.f64 base) (atan2.f64 im re))
1.0ms	im	@	inf	(/.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))

rewrite101.0ms (0.9%)

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))))))))

simplify159.0ms (1.4%)

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))

localize30.0ms (0.3%)

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 (/.f64 (atan2.f64 im re) (log.f64 base)) 3)
✓	7.5b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))

Compiler

Compiled 35 to 12 computations (65.7% saved)

series18.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

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

rewrite103.0ms (0.9%)

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)))))))))

simplify150.0ms (1.3%)

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)

localize57.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	0.3b	(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3) 3)
✓	5.7b	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)

Compiler

Compiled 37 to 14 computations (62.2% saved)

series10.0ms (0.1%)

Counts

2 → 44

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	im	@	0	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
1.0ms	base	@	-inf	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
1.0ms	base	@	inf	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
1.0ms	im	@	inf	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)
1.0ms	im	@	-inf	(pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3)

rewrite145.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

953×	`pow1_binary64`
890×	`add-log-exp_binary64`
890×	`log1p-expm1-u_binary64`
890×	`expm1-log1p-u_binary64`
103×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	237	20
2	2476	20

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

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

Outputs

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

simplify110.0ms (1%)

Algorithm

1×	egg-herbie

Rules

793×	`div-sub_binary64`
656×	`fma-neg_binary64`
523×	`fma-def_binary64`
416×	`unswap-sqr_binary64`
326×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	480
1	72	472
2	122	472
3	233	440
4	519	440
5	1454	440
6	3358	440
7	6626	440

Stop Event

1×	node limit

Counts

111 → 73

Calls

Call 1

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

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))
	0.3b	(/.f64 (log.f64 base) (atan2.f64 im re))
✓	0.6b	(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3)
✓	5.5b	(cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))

Compiler

Compiled 46 to 15 computations (67.4% saved)

series189.0ms (1.7%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
74.0ms	re	@	-inf	(cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
46.0ms	base	@	0	(cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))
12.0ms	re	@	-inf	(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3)
4.0ms	base	@	0	(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3)
4.0ms	base	@	inf	(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3)

rewrite181.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

512×	`log-prod_binary64`
395×	`exp-prod_binary64`
291×	`pow-prod-down_binary64`
283×	`pow2_binary64`
207×	`pow-to-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	249	31
2	2885	31

Stop Event

1×	node limit

Counts

3 → 163

Calls

Call 1

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

Outputs

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-1/6) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (atan2.f64 im re)) (cbrt.f64 (log.f64 base))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))) (sqrt.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.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))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 1) 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 (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 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -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 (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 (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 (log.f64 base) (atan2.f64 im re))) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (log.f64 base) (atan2.f64 im re)) -1/6) (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -5/2))))) (#(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 (/.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) 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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 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2)) (neg.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) 1) (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re))) -2) -1) (neg.f64 (cbrt.f64 (/.f64 (log.f64 base) (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 (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 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(2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 1) 3))))) (#(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 (log.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))) 3/2) 2))))))

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

simplify181.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

836×	`unswap-sqr_binary64`
660×	`fma-neg_binary64`
584×	`fma-def_binary64`
562×	`div-sub_binary64`
364×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	1172
1	97	1172
2	178	1172
3	380	1172
4	814	1172
5	1843	1172
6	3955	1172

Stop Event

1×	node limit

Counts

271 → 173

Calls

Call 1

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

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

eval312.0ms (2.8%)

Compiler: Compiled 9024 to 3363 computations (62.7% saved)

prune301.0ms (2.7%)

Pruning

18 alts after pruning (11 fresh and 7 done)

	Pruned	Kept	Total
New	632	6	638
Fresh	4	5	9
Picked	0	1	1
Done	1	6	7
Total	637	18	655

Error

Counts

655 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
	5.1b	(*.f64 (atan2.f64 im re) (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1))
▶	0.4b	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
	29.7b	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	1.4b	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	0.4b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
▶	0.4b	(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
✓	1.3b	(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3)
▶	11.2b	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
	0.4b	(.f64 (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 -1 (pow.f64 (log.f64 base) 2)))
▶	0.4b	(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (atan2.f64 im re)))
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	0.4b	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))
✓	0.4b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
▶	29.0b	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	0.5b	(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
✓	7.6b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	0.8b	(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (cbrt.f64 (log.f64 base)))

Compiler

Compiled 395 to 290 computations (26.6% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (/.f64 1 (atan2.f64 im re)) -1)
✓	0.1b	(/.f64 1 (atan2.f64 im re))
	0.3b	(/.f64 1 (log.f64 base))
✓	0.4b	(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))

Compiler

Compiled 41 to 22 computations (46.3% saved)

series38.0ms (0.3%)

Counts

3 → 60

Calls

21 calls:

Time	Variable		Point	Expression
28.0ms	re	@	inf	(/.f64 1 (atan2.f64 im re))
1.0ms	re	@	-inf	(/.f64 1 (atan2.f64 im re))
1.0ms	im	@	inf	(pow.f64 (/.f64 1 (atan2.f64 im re)) -1)
1.0ms	im	@	0	(pow.f64 (/.f64 1 (atan2.f64 im re)) -1)
1.0ms	im	@	-inf	(pow.f64 (/.f64 1 (atan2.f64 im re)) -1)

rewrite90.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

965×	`pow1_binary64`
888×	`add-log-exp_binary64`
886×	`log1p-expm1-u_binary64`
886×	`expm1-log1p-u_binary64`
115×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	238	20
2	2789	20

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

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

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

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

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

simplify280.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

802×	`div-sub_binary64`
628×	`fma-neg_binary64`
599×	`associate--r-_binary64`
494×	`fma-def_binary64`
413×	`associate--l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	420
1	32	420
2	45	420
3	90	420
4	195	420
5	595	420
6	2423	420
7	4970	420
8	6290	420
9	6550	420
10	6688	420
11	6796	420

Stop Event

1×	node limit

Counts

136 → 78

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 -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))
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)

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 -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))
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)
(atan2.f64 im re)

localize31.0ms (0.3%)

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

Compiler

Compiled 35 to 16 computations (54.3% saved)

series11.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	base	@	-inf	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
1.0ms	im	@	0	(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
1.0ms	im	@	-inf	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
0.0ms	base	@	inf	(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))
0.0ms	base	@	-inf	(*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base))

rewrite95.0ms (0.9%)

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	21
1	199	18
2	2400	18

Stop Event

1×	node limit

Counts

2 → 53

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)))

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))))))))

simplify183.0ms (1.6%)

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

125 → 58

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))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f64 1 (atan2.f64 im re))
✓	0.2b	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
✓	0.5b	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
✓	4.2b	(pow.f64 base (/.f64 1 (atan2.f64 im re)))

Compiler

Compiled 40 to 20 computations (50% saved)

series349.0ms (3.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
138.0ms	im	@	-inf	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
68.0ms	re	@	-inf	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
24.0ms	base	@	-inf	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
20.0ms	im	@	inf	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))
20.0ms	re	@	inf	(log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re))))

rewrite76.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

907×	`pow1_binary64`
831×	`add-log-exp_binary64`
830×	`log1p-expm1-u_binary64`
830×	`expm1-log1p-u_binary64`
810×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	37
1	202	28
2	2385	28

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

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

Outputs

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

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

simplify104.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

681×	`div-sub_binary64`
330×	`sub-neg_binary64`
316×	`associate-/r*_binary64`
314×	`associate-/l/_binary64`
308×	`exp-prod_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	26	1044
1	45	1044
2	72	1044
3	155	1044
4	395	1044
5	1540	1008
6	6789	1008

Stop Event

1×	node limit

Counts

178 → 78

Calls

Call 1

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	5.1b	(sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base)))

Compiler

Compiled 34 to 10 computations (70.6% saved)

series9.0ms (0.1%)

Counts

2 → 44

Calls

18 calls:

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

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`pow1_binary64`
791×	`add-log-exp_binary64`
791×	`log1p-expm1-u_binary64`
791×	`expm1-log1p-u_binary64`
772×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	205	20
2	2192	20

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

751×	`fma-neg_binary64`
427×	`times-frac_binary64`
366×	`neg-mul-1_binary64`
360×	`neg-sub0_binary64`
344×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	480
1	43	472
2	74	472
3	164	440
4	458	440
5	2863	440
6	6549	440

Stop Event

1×	node limit

Counts

115 → 77

Calls

Call 1

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

localize51.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 12 computations (63.6% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite60.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`pow1_binary64`
832×	`add-log-exp_binary64`
831×	`log1p-expm1-u_binary64`
831×	`expm1-log1p-u_binary64`
812×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	202	18
2	2340	18

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

524×	`unswap-sqr_binary64`
482×	`associate-l_binary64`
449×	`associate-r_binary64`
419×	`fma-def_binary64`
321×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	432
1	49	432
2	89	432
3	264	432
4	1117	432
5	5317	432

Stop Event

1×	node limit

Counts

75 → 33

Calls

Call 1

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

eval156.0ms (1.4%)

Compiler: Compiled 5914 to 2639 computations (55.4% saved)

prune85.0ms (0.8%)

Pruning

17 alts after pruning (7 fresh and 10 done)

	Pruned	Kept	Total
New	445	5	450
Fresh	4	2	6
Picked	1	0	1
Done	1	10	11
Total	451	17	468

Error

Counts

468 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	5.1b	(*.f64 (atan2.f64 im re) (-.f64 (+.f64 1 (/.f64 1 (log.f64 base))) 1))
	0.5b	(/.f64 1 (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
✓	1.4b	(pow.f64 (cbrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 3)
✓	0.4b	(*.f64 (atan2.f64 im re) (/.f64 1 (log.f64 base)))
✓	7.6b	(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
	7.6b	(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3)) (log.f64 base)))
✓	1.3b	(pow.f64 (/.f64 1 (cbrt.f64 (/.f64 (log.f64 base) (atan2.f64 im re)))) 3)
✓	11.2b	(/.f64 1 (log.f64 (pow.f64 base (/.f64 1 (atan2.f64 im re)))))
	0.4b	(*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
	29.7b	(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
✓	0.4b	(/.f64 1 (*.f64 (/.f64 1 (atan2.f64 im re)) (log.f64 base)))
	7.4b	(*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (atan2.f64 im re) 3)))
✓	0.3b	(/.f64 (atan2.f64 im re) (log.f64 base))
✓	0.4b	(/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 2))
✓	0.4b	(/.f64 1 (/.f64 (log.f64 base) (atan2.f64 im re)))
✓	29.0b	(pow.f64 (sqrt.f64 (/.f64 (atan2.f64 im re) (log.f64 base))) 2)
	0.8b	(/.f64 (/.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (cbrt.f64 (log.f64 base)))

Compiler

Compiled 223 to 168 computations (24.7% saved)

regimes220.0ms (2%)

Accuracy

Total -59.6b remaining (-20358.9%)

Threshold costs -59.6b (-20358.9%)

Counts

39 → 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 1 (/.f64 (/.f64 1 (atan2.f64 im re)) (/.f64 1 (log.f64 base))))
(*.f64 (/.f64 1 (log.f64 base)) (/.f64 1 (/.f64 1 (atan2.f64 im re))))
(*.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)))))
(*.f64 (/.f64 1 (log.f64 base)) (pow.f64 (/.f64 1 (atan2.f64 im re)) -1))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(exp.f64 (log.f64 (/.f64 (atan2.f64 im re) (log.f64 base))))
(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)
(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)
(cbrt.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 3))
(*.f64 (atan2.f64 im re) (log.f64 (exp.f64 (/.f64 1 (log.f64 base)))))
(pow.f64 (pow.f64 (/.f64 (atan2.f64 im re) (log.f64 base)) 1/3) 3)
(*.f64 (/.f64 1 (log.f64 base)) (cbrt.f64 (pow.f64 (atan2.f64 im re) 3)))
(*.f64 (atan2.f64 im re) (cbrt.f64 (pow.f64 (/.f64 1 (log.f64 base)) 3)))
(pow.f64 (/.f64 1 (cbrt.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))
(.f64 (pow.f64 (log.f64 base) -2) (.f64 (log.f64 base) (atan2.f64 im re)))
(/.f64 1 (*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (atan2.f64 im re)) 3)) (log.f64 base)))
(*.f64 (/.f64 (atan2.f64 im re) 1) (/.f64 (log.f64 base) (pow.f64 (log.f64 base) 2)))
(neg.f64 (/.f64 (*.f64 (log.f64 base) (atan2.f64 im re)) (neg.f64 (pow.f64 (log.f64 base) 2))))
(.f64 (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 -1 (pow.f64 (log.f64 base) 2)))
(.f64 (neg.f64 (.f64 (log.f64 base) (atan2.f64 im re))) (/.f64 1 (neg.f64 (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) (cbrt.f64 (pow.f64 (log.f64 base) 2))) (cbrt.f64 (log.f64 base)))
(.f64 (atan2.f64 im re) (.f64 (/.f64 1 (cbrt.f64 (log.f64 base))) (cbrt.f64 (pow.f64 (log.f64 base) -2))))
(.f64 (/.f64 (.f64 (log.f64 base) (atan2.f64 im re)) (pow.f64 (log.f64 base) 6)) (pow.f64 (log.f64 base) 4))
(/.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 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)))
(/.f64 (-.f64 (exp.f64 (log.f64 (.f64 (log.f64 base) (atan2.f64 im re)))) (.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 (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)))

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

Calls

5 calls:

125.0ms	base
28.0ms	(/.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)))
19.0ms	(log.f64 base)
18.0ms	im
17.0ms	re

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 530 to 235 computations (55.7% saved)

simplify3.0ms (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)

soundness197.0ms (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)

end18.0ms (0.2%)

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