Details

analyze61.0ms (2.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
74.9%	25%	0.1%	3
74.9%	25%	0.1%	4
81.2%	18.7%	0.1%	5
81.2%	18.7%	0.1%	6
82.7%	15.6%	1.7%	7
83.5%	14%	2.4%	8
86.2%	9%	4.8%	9
86.6%	8.2%	5.2%	10
87.1%	4.9%	8%	11
87.4%	4.4%	8.2%	12
88.1%	2.5%	9.4%	13
88.2%	2.3%	9.5%	14

Compiler

Compiled 22 to 12 computations (45.5% saved)

sample1.5s (56.1%)

Results

906.0ms	8256×	body	128	valid
556.0ms	5279×	body	128	invalid

Compiler

Compiled 44 to 24 computations (45.5% saved)

preprocess30.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

544×	`fma-def_binary64`
352×	`fma-neg_binary64`
259×	`cancel-sign-sub-inv_binary64`
251×	`distribute-rgt-in_binary64`
248×	`associate-+l-_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	48
1	49	46
2	113	46
3	274	32
4	775	32
5	2542	32
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(+.f64 (*.f64 (-.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)) x.im) (*.f64 (+.f64 (*.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

(+.f64 (*.f64 (-.f64 (*.f64 x.im x.im) (*.f64 x.re x.re)) x.re) (*.f64 (+.f64 (*.f64 x.im x.re) (*.f64 x.re x.im)) x.im))

Outputs
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (.f64 x.re (fma.f64 x.re x.im (.f64 x.re x.im))))
(fma.f64 x.re (.f64 x.re (+.f64 x.im x.im)) (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(fma.f64 x.re (.f64 x.im (+.f64 x.re x.re)) (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 x.re (.f64 x.re (*.f64 3 x.im))) (pow.f64 x.im 3))
(+.f64 (.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re) (.f64 (+.f64 (.f64 x.im x.re) (.f64 x.re x.im)) x.im))
(fma.f64 (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) x.re (.f64 x.im (fma.f64 x.re x.im (.f64 x.re x.im))))
(fma.f64 x.im (.f64 x.re (+.f64 x.im x.im)) (.f64 x.re (-.f64 (.f64 x.im x.im) (.f64 x.re x.re))))
(fma.f64 x.re (-.f64 (.f64 x.im x.im) (.f64 x.re x.re)) (.f64 (.f64 x.im x.im) (+.f64 x.re x.re)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.im x.im))) (pow.f64 x.re 3))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.im))) (pow.f64 x.re 3))

Compiler

Compiled 21 to 11 computations (47.6% saved)

simplify21.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

578×	`fma-neg_binary64`
351×	`distribute-rgt-in_binary64`
280×	`fma-def_binary64`
251×	`cancel-sign-sub-inv_binary64`
244×	`associate-+l-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	27	23
2	63	23
3	148	16
4	416	16
5	1205	16
6	2159	16

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Outputs
(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (.f64 x.re (fma.f64 x.re x.im (.f64 x.re x.im))))
(fma.f64 x.re (.f64 x.re (+.f64 x.im x.im)) (.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))))
(fma.f64 x.im (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 2 (.f64 (*.f64 x.re x.re) x.im)))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 x.re (.f64 x.re (.f64 3 x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re 3))) (pow.f64 x.im 3))

prune4.0ms (0.2%)

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

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.2b	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re 3))) (pow.f64 x.im 3))
	9.2b	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

Compiler

Compiled 100 to 58 computations (42% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re 3))) (pow.f64 x.im 3))
✓	0.1b	(.f64 x.re (.f64 x.im (*.f64 x.re 3)))
✓	0.1b	(.f64 x.im (.f64 x.re 3))

series25.0ms (0.9%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	x.im	@	0	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re 3))) (pow.f64 x.im 3))
2.0ms	x.im	@	inf	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re 3))) (pow.f64 x.im 3))
2.0ms	x.im	@	-inf	(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re 3))) (pow.f64 x.im 3))
2.0ms	x.im	@	0	(.f64 x.re (.f64 x.im (*.f64 x.re 3)))
2.0ms	x.im	@	-inf	(.f64 x.re (.f64 x.im (*.f64 x.re 3)))

rewrite55.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`log-prod_binary64`
305×	`fma-def_binary64`
174×	`pow1/3_binary64`
172×	`expm1-udef_binary64`
172×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	203	33
2	2645	33

Stop Event

1×	node limit

Counts

3 → 158

Calls

Call 1

Inputs
(.f64 x.im (.f64 x.re 3))
(.f64 x.re (.f64 x.im (*.f64 x.re 3)))
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re 3))) (pow.f64 x.im 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x.im (.f64 x.re 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x.im) (.f64 x.re 3))) (cbrt.f64 (pow.f64 (exp.f64 x.im) (.f64 x.re 3))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x.im) (.f64 x.re 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x.im) (.f64 x.re 3)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x.im) (.f64 x.re 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x.im (.f64 x.re 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x.im (.f64 x.re 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x.im (.f64 x.re 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x.im (.f64 x.re 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x.im (.f64 x.re 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x.im 3) (pow.f64 (.f64 x.re 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 x.re 3) 3) (pow.f64 x.im 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x.im (.f64 x.re 3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x.im) (.f64 x.re 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x.im (.f64 x.re 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x.im (.f64 x.re 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x.im 3) (pow.f64 (.f64 x.re 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 x.re 3) 3) (pow.f64 x.im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x.im (.f64 x.re 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x.im (.f64 x.re 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x.im (.f64 x.re 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x.im (.f64 x.re 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x.im (.f64 (.f64 x.re 3) x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x.im) (.f64 x.re 3)) x.re)) (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x.im) (.f64 x.re 3)) x.re)))) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x.im) (.f64 x.re 3)) x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x.im) (.f64 x.re 3)) x.re))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x.im) (.f64 x.re 3)) x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x.im) (.f64 x.re 3)) x.re))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x.im (.f64 (*.f64 x.re 3) x.re))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) (neg.f64 (pow.f64 x.im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) (.f64 (neg.f64 (pow.f64 x.im 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) (pow.f64 x.im 3)) (+.f64 (neg.f64 (pow.f64 x.im 3)) (pow.f64 x.im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) (pow.f64 x.im 3)) (fma.f64 (neg.f64 (pow.f64 x.im 3)) 1 (pow.f64 x.im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x.im 3)) (.f64 x.im (.f64 (.f64 x.re 3) x.re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) (pow.f64 x.im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) (pow.f64 x.im 3)))) (cbrt.f64 (exp.f64 (-.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) (pow.f64 x.im 3)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) (pow.f64 x.im 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) (pow.f64 x.im 3))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) (pow.f64 x.im 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) (pow.f64 x.im 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) (pow.f64 x.im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) (pow.f64 x.im 3))) (pow.f64 (cbrt.f64 (-.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) (pow.f64 x.im 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) (pow.f64 x.im 3))) 2) (cbrt.f64 (-.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) (pow.f64 x.im 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) (pow.f64 x.im 3))) (sqrt.f64 (-.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) (pow.f64 x.im 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) 3) (pow.f64 x.im 9)) (/.f64 1 (fma.f64 (pow.f64 x.im 3) (fma.f64 x.re (.f64 x.im (.f64 x.re 3)) (pow.f64 x.im 3)) (pow.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) 2) (pow.f64 x.im 6)) (/.f64 1 (fma.f64 x.re (.f64 x.im (.f64 x.re 3)) (pow.f64 x.im 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re))) (pow.f64 x.im 3/2)) (-.f64 (sqrt.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re))) (pow.f64 x.im 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (pow.f64 x.im 3) (fma.f64 x.re (.f64 x.im (.f64 x.re 3)) (pow.f64 x.im 3)) (pow.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) 2)) (-.f64 (pow.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) 3) (pow.f64 x.im 9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x.re (.f64 x.im (.f64 x.re 3)) (pow.f64 x.im 3)) (-.f64 (pow.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) 2) (pow.f64 x.im 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) 3) (pow.f64 x.im 9)) (fma.f64 (pow.f64 x.im 3) (fma.f64 x.re (.f64 x.im (.f64 x.re 3)) (pow.f64 x.im 3)) (pow.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) 2) (pow.f64 x.im 6)) (fma.f64 x.re (.f64 x.im (.f64 x.re 3)) (pow.f64 x.im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x.im (.f64 (.f64 x.re 3) x.re)) 3) (pow.f64 x.im 9))) (neg.f64 (fma.f64 (pow.f64 x.im 3) (fma.f64 x.re (.f64 x.im (.f64 x.re 3)) 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Outputs

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

simplify49.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

453×	`fma-neg_binary64`
450×	`unswap-sqr_binary64`
436×	`distribute-rgt-neg-in_binary64`
394×	`associate-l_binary64`
390×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	744
1	38	744
2	95	744
3	200	744
4	491	744
5	1825	744
6	3955	744

Stop Event

1×	node limit

Counts

230 → 166

Calls

Call 1

Inputs
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 x.re x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(*.f64 -1 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(*.f64 -1 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))

Outputs
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 x.re x.im))
(.f64 (.f64 3 x.re) x.im)
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(*.f64 -1 (pow.f64 x.im 3))
(neg.f64 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.re))) (pow.f64 x.im 3))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 (*.f64 x.re x.re) -3)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.re))) (pow.f64 x.im 3))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 (*.f64 x.re x.re) -3)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.re))) (pow.f64 x.im 3))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 (*.f64 x.re x.re) -3)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.re))) (pow.f64 x.im 3))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 (*.f64 x.re x.re) -3)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.re))) (pow.f64 x.im 3))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 (*.f64 x.re x.re) -3)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.re))) (pow.f64 x.im 3))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 (*.f64 x.re x.re) -3)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.re))) (pow.f64 x.im 3))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 (*.f64 x.re x.re) -3)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.re))) (pow.f64 x.im 3))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 (*.f64 x.re x.re) -3)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.re))) (pow.f64 x.im 3))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 (*.f64 x.re x.re) -3)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 x.re (*.f64 3 x.re)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.re))) (pow.f64 x.im 3))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 (*.f64 x.re x.re) -3)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.re))) (pow.f64 x.im 3))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 (*.f64 x.re x.re) -3)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.re))) (pow.f64 x.im 3))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 (*.f64 x.re x.re) -3)))
(*.f64 -1 (pow.f64 x.im 3))
(neg.f64 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.re))) (pow.f64 x.im 3))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 (*.f64 x.re x.re) -3)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.re))) (pow.f64 x.im 3))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 (*.f64 x.re x.re) -3)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.re))) (pow.f64 x.im 3))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 (*.f64 x.re x.re) -3)))
(*.f64 -1 (pow.f64 x.im 3))
(neg.f64 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.re))) (pow.f64 x.im 3))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 (*.f64 x.re x.re) -3)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.re))) (pow.f64 x.im 3))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 (*.f64 x.re x.re) -3)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 3 x.re))) (pow.f64 x.im 3))
(.f64 (neg.f64 x.im) (fma.f64 x.im x.im (.f64 (*.f64 x.re x.re) -3)))

prune161.0ms (6.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	158	8	166
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	160	8	168

Error

Counts

168 → 8

Alt Table

Status	Error	Program
	0.7b	(fma.f64 (pow.f64 (cbrt.f64 x.re) 2) (.f64 (cbrt.f64 x.re) (.f64 x.im (*.f64 x.re 3))) (neg.f64 (pow.f64 x.im 3)))
	9.1b	(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
	22.9b	(-.f64 (.f64 x.re (pow.f64 (sqrt.f64 (.f64 x.im (*.f64 x.re 3))) 2)) (pow.f64 x.im 3))
	31.9b	(fma.f64 (.f64 (.f64 x.im x.re) (sqrt.f64 (.f64 x.re 3))) (sqrt.f64 (.f64 x.re 3)) (neg.f64 (pow.f64 x.im 3)))
	0.2b	(fma.f64 (.f64 x.re (.f64 x.im x.re)) 3 (neg.f64 (pow.f64 x.im 3)))
▶	0.1b	(-.f64 (.f64 x.re (.f64 3 (*.f64 x.re x.im))) (pow.f64 x.im 3))
	0.2b	(fma.f64 (.f64 x.re 3) (.f64 x.im x.re) (neg.f64 (pow.f64 x.im 3)))
	9.1b	(fma.f64 x.im (.f64 (.f64 x.re 3) x.re) (neg.f64 (pow.f64 x.im 3)))

Compiler

Compiled 3383 to 2340 computations (30.8% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x.re (.f64 3 (*.f64 x.re x.im))) (pow.f64 x.im 3))
✓	0.1b	(.f64 x.re (.f64 3 (*.f64 x.re x.im)))
✓	0.2b	(.f64 3 (.f64 x.re x.im))

series27.0ms (1%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	x.im	@	inf	(.f64 x.re (.f64 3 (*.f64 x.re x.im)))
2.0ms	x.im	@	-inf	(-.f64 (.f64 x.re (.f64 3 (*.f64 x.re x.im))) (pow.f64 x.im 3))
2.0ms	x.im	@	0	(-.f64 (.f64 x.re (.f64 3 (*.f64 x.re x.im))) (pow.f64 x.im 3))
2.0ms	x.im	@	inf	(-.f64 (.f64 x.re (.f64 3 (*.f64 x.re x.im))) (pow.f64 x.im 3))
2.0ms	x.im	@	0	(.f64 x.re (.f64 3 (*.f64 x.re x.im)))

rewrite56.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

523×	`log-prod_binary64`
299×	`fma-def_binary64`
172×	`pow1/3_binary64`
172×	`expm1-udef_binary64`
172×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	203	33
2	2632	33

Stop Event

1×	node limit

Counts

3 → 154

Calls

Call 1

Inputs
(.f64 3 (.f64 x.re x.im))
(.f64 x.re (.f64 3 (*.f64 x.re x.im)))
(-.f64 (.f64 x.re (.f64 3 (*.f64 x.re x.im))) (pow.f64 x.im 3))

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

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

simplify40.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

450×	`unswap-sqr_binary64`
428×	`fma-neg_binary64`
404×	`distribute-rgt-neg-in_binary64`
376×	`fma-def_binary64`
364×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	576
1	32	576
2	87	576
3	198	576
4	488	576
5	1738	576
6	3758	576

Stop Event

1×	node limit

Counts

202 → 160

Calls

Call 1

Inputs
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(*.f64 -1 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(*.f64 -1 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(*.f64 -1 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))

Outputs
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(*.f64 -1 (pow.f64 x.im 3))
(neg.f64 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 (*.f64 x.re x.re) x.im))
(.f64 3 (.f64 x.re (*.f64 x.re x.im)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(*.f64 -1 (pow.f64 x.im 3))
(neg.f64 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(*.f64 -1 (pow.f64 x.im 3))
(neg.f64 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (*.f64 x.re x.re) x.im)) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.re (.f64 x.re x.im)) (neg.f64 (pow.f64 x.im 3)))
(-.f64 (.f64 3 (.f64 x.re (*.f64 x.re x.im))) (pow.f64 x.im 3))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))

prune147.0ms (5.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	160	8	168

Error

Counts

168 → 8

Alt Table

Status	Error	Program
	9.1b	(fma.f64 x.im (.f64 (.f64 x.re 3) x.re) (neg.f64 (pow.f64 x.im 3)))
	0.7b	(-.f64 (pow.f64 (cbrt.f64 (.f64 x.re (.f64 3 (*.f64 x.re x.im)))) 3) (pow.f64 x.im 3))
	22.9b	(-.f64 (.f64 x.re (pow.f64 (sqrt.f64 (.f64 x.im (*.f64 x.re 3))) 2)) (pow.f64 x.im 3))
	31.9b	(fma.f64 (.f64 (.f64 x.im x.re) (sqrt.f64 (.f64 x.re 3))) (sqrt.f64 (.f64 x.re 3)) (neg.f64 (pow.f64 x.im 3)))
▶	0.2b	(fma.f64 (.f64 x.re (.f64 x.im x.re)) 3 (neg.f64 (pow.f64 x.im 3)))
	9.1b	(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
✓	0.1b	(-.f64 (.f64 x.re (.f64 3 (*.f64 x.re x.im))) (pow.f64 x.im 3))
	0.2b	(fma.f64 (.f64 x.re 3) (.f64 x.im x.re) (neg.f64 (pow.f64 x.im 3)))

Compiler

Compiled 3265 to 2054 computations (37.1% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x.re (.f64 x.im x.re))
✓	0.1b	(fma.f64 (.f64 x.re (.f64 x.im x.re)) 3 (neg.f64 (pow.f64 x.im 3)))

series18.0ms (0.7%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x.im	@	-inf	(fma.f64 (.f64 x.re (.f64 x.im x.re)) 3 (neg.f64 (pow.f64 x.im 3)))
2.0ms	x.im	@	0	(fma.f64 (.f64 x.re (.f64 x.im x.re)) 3 (neg.f64 (pow.f64 x.im 3)))
2.0ms	x.im	@	inf	(fma.f64 (.f64 x.re (.f64 x.im x.re)) 3 (neg.f64 (pow.f64 x.im 3)))
2.0ms	x.im	@	-inf	(.f64 x.re (.f64 x.im x.re))
2.0ms	x.re	@	inf	(fma.f64 (.f64 x.re (.f64 x.im x.re)) 3 (neg.f64 (pow.f64 x.im 3)))

rewrite40.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

773×	`pow1_binary64`
716×	`log1p-expm1-u_binary64`
716×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`
86×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	192	21
2	2233	21

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs
(fma.f64 (.f64 x.re (.f64 x.im x.re)) 3 (neg.f64 (pow.f64 x.im 3)))
(.f64 x.re (.f64 x.im x.re))

Outputs

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

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

simplify39.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

450×	`unswap-sqr_binary64`
428×	`fma-neg_binary64`
404×	`distribute-rgt-neg-in_binary64`
376×	`fma-def_binary64`
361×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	504
1	32	504
2	87	504
3	197	504
4	488	504
5	1724	504
6	3726	504

Stop Event

1×	node limit

Counts

88 → 48

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(*.f64 -1 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(*.f64 -1 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)
(*.f64 (pow.f64 x.re 2) x.im)

Outputs
(*.f64 -1 (pow.f64 x.im 3))
(neg.f64 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(*.f64 -1 (pow.f64 x.im 3))
(neg.f64 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(*.f64 -1 (pow.f64 x.im 3))
(neg.f64 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))
(*.f64 (pow.f64 x.re 2) x.im)
(.f64 x.im (.f64 x.re x.re))

prune42.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	48	8	56

Error

Counts

56 → 8

Alt Table

Status	Error	Program
	9.1b	(fma.f64 x.im (.f64 (.f64 x.re 3) x.re) (neg.f64 (pow.f64 x.im 3)))
	0.7b	(-.f64 (pow.f64 (cbrt.f64 (.f64 x.re (.f64 3 (*.f64 x.re x.im)))) 3) (pow.f64 x.im 3))
	22.9b	(-.f64 (.f64 x.re (pow.f64 (sqrt.f64 (.f64 x.im (*.f64 x.re 3))) 2)) (pow.f64 x.im 3))
	31.9b	(fma.f64 (.f64 (.f64 x.im x.re) (sqrt.f64 (.f64 x.re 3))) (sqrt.f64 (.f64 x.re 3)) (neg.f64 (pow.f64 x.im 3)))
✓	0.2b	(fma.f64 (.f64 x.re (.f64 x.im x.re)) 3 (neg.f64 (pow.f64 x.im 3)))
	9.1b	(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
✓	0.1b	(-.f64 (.f64 x.re (.f64 3 (*.f64 x.re x.im))) (pow.f64 x.im 3))
▶	0.2b	(fma.f64 (.f64 x.re 3) (.f64 x.im x.re) (neg.f64 (pow.f64 x.im 3)))

Compiler

Compiled 889 to 537 computations (39.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (.f64 x.re 3) (.f64 x.im x.re) (neg.f64 (pow.f64 x.im 3)))

series11.0ms (0.4%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x.re	@	-inf	(fma.f64 (.f64 x.re 3) (.f64 x.im x.re) (neg.f64 (pow.f64 x.im 3)))
2.0ms	x.re	@	0	(fma.f64 (.f64 x.re 3) (.f64 x.im x.re) (neg.f64 (pow.f64 x.im 3)))
2.0ms	x.re	@	inf	(fma.f64 (.f64 x.re 3) (.f64 x.im x.re) (neg.f64 (pow.f64 x.im 3)))
2.0ms	x.im	@	-inf	(fma.f64 (.f64 x.re 3) (.f64 x.im x.re) (neg.f64 (pow.f64 x.im 3)))
1.0ms	x.im	@	inf	(fma.f64 (.f64 x.re 3) (.f64 x.im x.re) (neg.f64 (pow.f64 x.im 3)))

rewrite36.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`pow1_binary64`
717×	`log1p-expm1-u_binary64`
717×	`expm1-log1p-u_binary64`
92×	`add-sqr-sqrt_binary64`
86×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	191	14
2	2231	14

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(fma.f64 (.f64 x.re 3) (.f64 x.im x.re) (neg.f64 (pow.f64 x.im 3)))

Outputs

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

simplify34.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

450×	`unswap-sqr_binary64`
428×	`fma-neg_binary64`
404×	`distribute-rgt-neg-in_binary64`
376×	`fma-def_binary64`
361×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	336
1	32	336
2	87	336
3	197	336
4	488	336
5	1724	336
6	3726	336

Stop Event

1×	node limit

Counts

49 → 31

Calls

Call 1

Inputs
(*.f64 -1 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(*.f64 -1 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(*.f64 -1 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))

Outputs
(*.f64 -1 (pow.f64 x.im 3))
(neg.f64 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(.f64 3 (.f64 (pow.f64 x.re 2) x.im))
(.f64 3 (.f64 x.im (*.f64 x.re x.re)))
(.f64 x.im (.f64 3 (*.f64 x.re x.re)))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(*.f64 -1 (pow.f64 x.im 3))
(neg.f64 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(*.f64 -1 (pow.f64 x.im 3))
(neg.f64 (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
(-.f64 (.f64 3 (.f64 x.im (*.f64 x.re x.re))) (pow.f64 x.im 3))
(fma.f64 3 (.f64 x.im (.f64 x.re x.re)) (neg.f64 (pow.f64 x.im 3)))
(.f64 x.im (fma.f64 3 (.f64 x.re x.re) (*.f64 x.im (neg.f64 x.im))))
(-.f64 (.f64 x.im (.f64 3 (*.f64 x.re x.re))) (pow.f64 x.im 3))

prune24.0ms (0.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	31	8	39

Error

Counts

39 → 8

Alt Table

Status	Error	Program
	9.1b	(fma.f64 x.im (.f64 (.f64 x.re 3) x.re) (neg.f64 (pow.f64 x.im 3)))
	0.7b	(-.f64 (pow.f64 (cbrt.f64 (.f64 x.re (.f64 3 (*.f64 x.re x.im)))) 3) (pow.f64 x.im 3))
	22.9b	(-.f64 (.f64 x.re (pow.f64 (sqrt.f64 (.f64 x.im (*.f64 x.re 3))) 2)) (pow.f64 x.im 3))
	31.9b	(fma.f64 (.f64 (.f64 x.im x.re) (sqrt.f64 (.f64 x.re 3))) (sqrt.f64 (.f64 x.re 3)) (neg.f64 (pow.f64 x.im 3)))
✓	0.2b	(fma.f64 (.f64 x.re (.f64 x.im x.re)) 3 (neg.f64 (pow.f64 x.im 3)))
	9.1b	(-.f64 (.f64 3 (.f64 (pow.f64 x.re 2) x.im)) (pow.f64 x.im 3))
✓	0.1b	(-.f64 (.f64 x.re (.f64 3 (*.f64 x.re x.im))) (pow.f64 x.im 3))
✓	0.2b	(fma.f64 (.f64 x.re 3) (.f64 x.im x.re) (neg.f64 (pow.f64 x.im 3)))

Compiler

Compiled 564 to 355 computations (37.1% saved)

regimes101.0ms (3.8%)

Accuracy

Total 0.2b remaining (90.4%)

Threshold costs 0.2b (90.4%)

Counts

33 → 1

Compiler

Compiled 1614 to 1140 computations (29.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	14	16
2	19	16
3	21	16
4	22	16

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (.f64 x.re (.f64 3 (*.f64 x.re x.im))) (pow.f64 x.im 3))

Outputs
(-.f64 (.f64 x.re (.f64 3 (*.f64 x.re x.im))) (pow.f64 x.im 3))

end110.0ms (4.2%)

Stop Event

1×

fuel

Compiler

Compiled 142 to 102 computations (28.2% saved)

Details

analyze61.0ms (2.3%)

sample1.5s (56.1%)

preprocess30.0ms (1.1%)

simplify21.0ms (0.8%)

prune4.0ms (0.2%)

localize6.0ms (0.2%)

series25.0ms (0.9%)

rewrite55.0ms (2.1%)

simplify49.0ms (1.8%)

prune161.0ms (6.1%)

localize6.0ms (0.2%)

series27.0ms (1%)

rewrite56.0ms (2.1%)

simplify40.0ms (1.5%)

prune147.0ms (5.6%)

localize7.0ms (0.3%)

series18.0ms (0.7%)

rewrite40.0ms (1.5%)

simplify39.0ms (1.5%)

prune42.0ms (1.6%)

localize6.0ms (0.2%)

series11.0ms (0.4%)

rewrite36.0ms (1.3%)

simplify34.0ms (1.3%)

prune24.0ms (0.9%)

regimes101.0ms (3.8%)

simplify3.0ms (0.1%)

end110.0ms (4.2%)

Profiling