Details

analyze125.0ms (4.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
31.2%	62.4%	6.3%	7
34.3%	56.2%	9.5%	8
45.3%	35.9%	18.8%	9
46.8%	32.8%	20.4%	10
48.8%	19.5%	31.7%	11
49.8%	17.6%	32.7%	12

Compiler

Compiled 22 to 12 computations (45.5% saved)

sample1.5s (50.9%)

Results

1.3s	8245×	body	64	valid
227.0ms	1777×	body	64	invalid
2.0ms	11×	body	128	valid

preprocess49.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

773×	`unsub-neg_binary64`
544×	`fma-def_binary64`
539×	`sub-neg_binary64`
352×	`fma-neg_binary64`
346×	`distribute-rgt-out_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
6	5215	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 x.re (.f64 x.re (*.f64 x.im 3))) (pow.f64 x.im 3))
(-.f64 (.f64 x.re (.f64 x.im (*.f64 x.re 3))) (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))
(-.f64 (.f64 x.im (.f64 x.re (*.f64 x.im 3))) (pow.f64 x.re 3))
(-.f64 (.f64 x.im (.f64 x.im (*.f64 x.re 3))) (pow.f64 x.re 3))

Compiler

Compiled 21 to 11 computations (47.6% saved)

simplify43.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

578×	`fma-neg_binary64`
494×	`sub-neg_binary64`
452×	`unsub-neg_binary64`
351×	`distribute-rgt-in_binary64`
280×	`distribute-lft-neg-out_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
7	5498	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))
(-.f64 (.f64 (.f64 x.re x.re) (*.f64 x.im 3)) (pow.f64 x.im 3))

prune3.0ms (0.1%)

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

5.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	5.2b	(-.f64 (.f64 (.f64 x.re x.re) (*.f64 x.im 3)) (pow.f64 x.im 3))
	5.2b	(+.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 57 computations (43% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 x.re x.re) (*.f64 x.im 3)) (pow.f64 x.im 3))
✓	5.6b	(.f64 (.f64 x.re x.re) (*.f64 x.im 3))

series8.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x.im	@	-inf	(-.f64 (.f64 (.f64 x.re x.re) (*.f64 x.im 3)) (pow.f64 x.im 3))
1.0ms	x.im	@	0	(.f64 (.f64 x.re x.re) (*.f64 x.im 3))
1.0ms	x.re	@	0	(.f64 (.f64 x.re x.re) (*.f64 x.im 3))
1.0ms	x.im	@	inf	(.f64 (.f64 x.re x.re) (*.f64 x.im 3))
1.0ms	x.re	@	inf	(.f64 (.f64 x.re x.re) (*.f64 x.im 3))

rewrite129.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`log-prod_binary64`
443×	`prod-exp_binary64`
354×	`pow-prod-down_binary64`
343×	`exp-prod_binary64`
324×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	202	26
2	2591	26

Stop Event

1×	node limit

Counts

2 → 156

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (.f64 x.re x.re) (.f64 x.im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (.f64 x.re (.f64 x.re x.im)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3) (.f64 x.re (.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 (.f64 x.re x.im))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3) (.f64 x.re (.f64 x.re x.im))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im 3))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im 3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im 3))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)))) 2)) (cbrt.f64 (log.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3))))) (sqrt.f64 (log.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im 3))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (.f64 x.re (.f64 x.re x.im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im 3))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x.re (sqrt.f64 (.f64 x.im 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im 3))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x.re) 1) (log.f64 (.f64 x.re (.f64 x.im 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x.re) 2) (log.f64 (.f64 x.im 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 x.re)) 1) (log.f64 (.f64 x.im 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 2 (log.f64 x.re)) (.f64 (log.f64 (.f64 x.im 3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x.re) 2) (.f64 (log.f64 (.f64 x.im 3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (.f64 2 (log.f64 x.re)) 1) (.f64 (log.f64 (.f64 x.im 3)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 x.im 3)) 1) (.f64 2 (log.f64 x.re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 x.im 3)) (.f64 (log.f64 x.re) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 x.im 3)) 1) (.f64 (log.f64 x.re) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 x.im 3)) (.f64 (.f64 2 (log.f64 x.re)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 (.f64 x.im 3)) 1) (.f64 (.f64 2 (log.f64 x.re)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (.f64 x.re (.f64 x.im 3))) (.f64 (log.f64 x.re) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 x.re x.re) (*.f64 x.im 3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)) (neg.f64 (pow.f64 x.im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)) (.f64 (neg.f64 (pow.f64 x.im 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)) (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 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)) (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 (neg.f64 (pow.f64 x.im 3)) (.f64 (.f64 x.re x.re) (.f64 x.im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)) (pow.f64 x.im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)) (pow.f64 x.im 3)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)) (pow.f64 x.im 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)) (pow.f64 x.im 3))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)) (pow.f64 x.im 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)) (pow.f64 x.im 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)) (pow.f64 x.im 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)) (pow.f64 x.im 3))) (pow.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)) (pow.f64 x.im 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)) (pow.f64 x.im 3))) 2) (cbrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)) (pow.f64 x.im 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)) (pow.f64 x.im 3))) (sqrt.f64 (-.f64 (.f64 (.f64 x.re x.re) (.f64 x.im 3)) (pow.f64 x.im 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im 3))) 6) (pow.f64 x.im 9)) (/.f64 1 (fma.f64 (pow.f64 x.im 3) (fma.f64 x.re (.f64 x.re (.f64 x.im 3)) (pow.f64 x.im 3)) (pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im 3))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im 3))) 4) (pow.f64 x.im 6)) (/.f64 1 (fma.f64 x.re (.f64 x.re (.f64 x.im 3)) (pow.f64 x.im 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x.re (sqrt.f64 (.f64 x.im 3)) (pow.f64 x.im 3/2)) (fma.f64 x.re (sqrt.f64 (.f64 x.im 3)) (neg.f64 (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.re (.f64 x.im 3)) (pow.f64 x.im 3)) (pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im 3))) 4)) (-.f64 (pow.f64 (.f64 x.re 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Outputs

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

simplify91.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

786×	`fma-neg_binary64`
450×	`unswap-sqr_binary64`
404×	`distribute-rgt-neg-in_binary64`
382×	`neg-sub0_binary64`
380×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	576
1	33	576
2	84	576
3	189	576
4	483	576
5	1665	576
6	3689	576
7	5210	576
8	6809	576
9	7818	576

Stop Event

1×	node limit

Counts

204 → 163

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

prune367.0ms (12.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	158	5	163
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	158	7	165

Error

0.0b

Counts

165 → 7

Alt Table

Status	Error	Program
	33.4b	(fma.f64 (sqrt.f64 x.re) (.f64 (sqrt.f64 x.re) (.f64 x.re (*.f64 x.im 3))) (neg.f64 (pow.f64 x.im 3)))
✓	5.2b	(-.f64 (.f64 (.f64 x.re x.re) (*.f64 x.im 3)) (pow.f64 x.im 3))
	32.4b	(-.f64 (pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im 3))) 2) (pow.f64 x.im 3))
	0.2b	(fma.f64 (.f64 x.re (.f64 x.re x.im)) 3 (neg.f64 (pow.f64 x.im 3)))
▶	0.1b	(fma.f64 (.f64 x.re (.f64 x.im 3)) x.re (neg.f64 (pow.f64 x.im 3)))
	5.2b	(+.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))
	5.1b	(fma.f64 (.f64 (.f64 x.re x.re) 3) x.im (neg.f64 (pow.f64 x.im 3)))

Compiler

Compiled 3235 to 2154 computations (33.4% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (.f64 x.re (.f64 x.im 3)) x.re (neg.f64 (pow.f64 x.im 3)))
✓	0.2b	(.f64 x.re (.f64 x.im 3))

series9.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

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

rewrite48.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`pow1_binary64`
735×	`add-log-exp_binary64`
734×	`log1p-expm1-u_binary64`
734×	`expm1-log1p-u_binary64`
717×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	193	21
2	2278	21

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

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

Outputs

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

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

simplify71.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

815×	`fma-neg_binary64`
450×	`unswap-sqr_binary64`
439×	`neg-sub0_binary64`
437×	`neg-mul-1_binary64`
436×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	504
1	39	504
2	92	504
3	193	504
4	494	504
5	1833	504
6	3957	504
7	5517	504
8	7280	504

Stop Event

1×	node limit

Counts

84 → 45

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

prune63.0ms (2.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	44	8	52

Error

0.0b

Counts

52 → 8

Alt Table

Status	Error	Program
	5.1b	(fma.f64 (.f64 (.f64 x.re x.re) 3) x.im (neg.f64 (pow.f64 x.im 3)))
	0.2b	(fma.f64 (.f64 3 (.f64 x.re x.im)) x.re (neg.f64 (pow.f64 x.im 3)))
	32.4b	(-.f64 (pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im 3))) 2) (pow.f64 x.im 3))
✓	5.2b	(-.f64 (.f64 (.f64 x.re x.re) (*.f64 x.im 3)) (pow.f64 x.im 3))
	0.2b	(fma.f64 (.f64 x.re (.f64 x.re x.im)) 3 (neg.f64 (pow.f64 x.im 3)))
✓	0.1b	(fma.f64 (.f64 x.re (.f64 x.im 3)) x.re (neg.f64 (pow.f64 x.im 3)))
	5.2b	(+.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))
▶	0.2b	(fma.f64 (.f64 (.f64 3 x.re) x.im) x.re (neg.f64 (pow.f64 x.im 3)))

Compiler

Compiled 840 to 562 computations (33.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (.f64 (.f64 3 x.re) x.im) x.re (neg.f64 (pow.f64 x.im 3)))
✓	0.2b	(.f64 (.f64 3 x.re) x.im)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x.re	@	0	(.f64 (.f64 3 x.re) x.im)
0.0ms	x.re	@	0	(fma.f64 (.f64 (.f64 3 x.re) x.im) x.re (neg.f64 (pow.f64 x.im 3)))
0.0ms	x.re	@	inf	(.f64 (.f64 3 x.re) x.im)
0.0ms	x.re	@	-inf	(fma.f64 (.f64 (.f64 3 x.re) x.im) x.re (neg.f64 (pow.f64 x.im 3)))
0.0ms	x.im	@	-inf	(fma.f64 (.f64 (.f64 3 x.re) x.im) x.re (neg.f64 (pow.f64 x.im 3)))

rewrite44.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

795×	`pow1_binary64`
738×	`add-log-exp_binary64`
737×	`log1p-expm1-u_binary64`
737×	`expm1-log1p-u_binary64`
720×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	193	21
2	2283	21

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs

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

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

simplify75.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

815×	`fma-neg_binary64`
450×	`unswap-sqr_binary64`
439×	`neg-sub0_binary64`
437×	`neg-mul-1_binary64`
436×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	504
1	39	504
2	92	504
3	193	504
4	494	504
5	1833	504
6	3957	504
7	5517	504
8	7280	504

Stop Event

1×	node limit

Counts

84 → 45

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

prune66.0ms (2.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	45	8	53

Error

0.0b

Counts

53 → 8

Alt Table

Status	Error	Program
	32.4b	(-.f64 (pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im 3))) 2) (pow.f64 x.im 3))
✓	5.2b	(-.f64 (.f64 (.f64 x.re x.re) (*.f64 x.im 3)) (pow.f64 x.im 3))
	0.2b	(fma.f64 (.f64 x.re (.f64 x.re x.im)) 3 (neg.f64 (pow.f64 x.im 3)))
✓	0.1b	(fma.f64 (.f64 x.re (.f64 x.im 3)) x.re (neg.f64 (pow.f64 x.im 3)))
	5.2b	(+.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))
✓	0.2b	(fma.f64 (.f64 (.f64 3 x.re) x.im) x.re (neg.f64 (pow.f64 x.im 3)))
	5.1b	(fma.f64 (.f64 (.f64 x.re x.re) 3) x.im (neg.f64 (pow.f64 x.im 3)))
▶	0.2b	(fma.f64 (.f64 3 (.f64 x.re x.im)) x.re (neg.f64 (pow.f64 x.im 3)))

Compiler

Compiled 827 to 543 computations (34.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (.f64 3 (.f64 x.re x.im)) x.re (neg.f64 (pow.f64 x.im 3)))
✓	0.2b	(.f64 3 (.f64 x.re x.im))

series3.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x.re	@	0	(.f64 3 (.f64 x.re x.im))
0.0ms	x.re	@	0	(fma.f64 (.f64 3 (.f64 x.re x.im)) x.re (neg.f64 (pow.f64 x.im 3)))
0.0ms	x.im	@	-inf	(fma.f64 (.f64 3 (.f64 x.re x.im)) x.re (neg.f64 (pow.f64 x.im 3)))
0.0ms	x.re	@	-inf	(fma.f64 (.f64 3 (.f64 x.re x.im)) x.re (neg.f64 (pow.f64 x.im 3)))
0.0ms	x.re	@	inf	(.f64 3 (.f64 x.re x.im))

rewrite42.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

792×	`pow1_binary64`
735×	`add-log-exp_binary64`
734×	`log1p-expm1-u_binary64`
734×	`expm1-log1p-u_binary64`
718×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	193	21
2	2276	21

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

Outputs

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

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

simplify76.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

786×	`fma-neg_binary64`
450×	`unswap-sqr_binary64`
404×	`distribute-rgt-neg-in_binary64`
382×	`neg-sub0_binary64`
380×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	336
1	33	336
2	84	336
3	190	336
4	486	336
5	1703	336
6	3716	336
7	5236	336
8	6841	336
9	7847	336

Stop Event

1×	node limit

Counts

58 → 41

Calls

Call 1

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

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

prune57.0ms (1.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	41	8	49

Error

0.0b

Counts

49 → 8

Alt Table

Status	Error	Program
	32.4b	(-.f64 (pow.f64 (.f64 x.re (sqrt.f64 (.f64 x.im 3))) 2) (pow.f64 x.im 3))
✓	5.2b	(-.f64 (.f64 (.f64 x.re x.re) (*.f64 x.im 3)) (pow.f64 x.im 3))
	0.2b	(fma.f64 (.f64 x.re (.f64 x.re x.im)) 3 (neg.f64 (pow.f64 x.im 3)))
✓	0.1b	(fma.f64 (.f64 x.re (.f64 x.im 3)) x.re (neg.f64 (pow.f64 x.im 3)))
	5.2b	(+.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))
✓	0.2b	(fma.f64 (.f64 (.f64 3 x.re) x.im) x.re (neg.f64 (pow.f64 x.im 3)))
	5.1b	(fma.f64 (.f64 (.f64 x.re x.re) 3) x.im (neg.f64 (pow.f64 x.im 3)))
✓	0.2b	(fma.f64 (.f64 3 (.f64 x.re x.im)) x.re (neg.f64 (pow.f64 x.im 3)))

Compiler

Compiled 699 to 458 computations (34.5% saved)

regimes21.0ms (0.7%)

Accuracy

Total -49.2b remaining (-33169.1%)

Threshold costs -49.2b (-33169.1%)

Counts

10 → 1

Calls

Call 1

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

Results

7.0ms	0.1b	`x.re`
6.0ms	0.1b	`x.im`
5.0ms	0.1b	`(+.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 152 to 88 computations (42.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`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	15	16
2	17	16
3	18	16

Stop Event

1×

saturated

Calls

Call 1

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

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

end17.0ms (0.6%)

Stop Event

1×

fuel

Compiler

Compiled 26 to 18 computations (30.8% saved)

Details

analyze125.0ms (4.3%)

sample1.5s (50.9%)

preprocess49.0ms (1.7%)

simplify43.0ms (1.5%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

series8.0ms (0.3%)

rewrite129.0ms (4.4%)

simplify91.0ms (3.1%)

prune367.0ms (12.5%)

localize7.0ms (0.2%)

series9.0ms (0.3%)

rewrite48.0ms (1.6%)

simplify71.0ms (2.4%)

prune63.0ms (2.1%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite44.0ms (1.5%)

simplify75.0ms (2.6%)

prune66.0ms (2.2%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite42.0ms (1.4%)

simplify76.0ms (2.6%)

prune57.0ms (1.9%)

regimes21.0ms (0.7%)

simplify2.0ms (0.1%)

end17.0ms (0.6%)

Profiling