Details

analyze109.0ms (1.5%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
77.4%	74.9%	21.9%	0.1%	3.1%	0%	0%	6
78.7%	74.9%	20.3%	0.1%	4.7%	0%	0%	7
80.7%	74.9%	18%	0.1%	7%	0%	0%	8
81.7%	74.9%	16.8%	0.1%	8.2%	0%	0%	9
82.9%	74.9%	15.4%	0.1%	9.6%	0%	0%	10
83.6%	74.9%	14.7%	0.1%	10.2%	0%	0%	11
84.3%	74.9%	14%	0.1%	11%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.9s (26.6%)

Results

794.0ms	6190×	body	256	valid
563.0ms	1370×	body	1024	valid
224.0ms	689×	body	1024	infinite
155.0ms	692×	body	512	valid
65.0ms	306×	body	512	infinite
64.0ms	512×	body	256	infinite
2.0ms	4×	body	2048	valid

Bogosity

preprocess19.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	11	16
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 im) (sin.f64 re))

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 im) (sin.f64 re))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	re	@	inf	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	im	@	0	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	re	@	0	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	im	@	inf	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	re	@	-inf	(*.f64 (exp.f64 re) (sin.f64 im))

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`pow1_binary64`
504×	`add-sqr-sqrt_binary64`
483×	`add-log-exp_binary64`
483×	`log1p-expm1-u_binary64`
483×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	113	8
2	1324	8

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))

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

Outputs

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

simplify97.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

828×	`distribute-lft-out_binary64`
812×	`fma-def_binary64`
569×	`unswap-sqr_binary64`
547×	`distribute-rgt-in_binary64`
403×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	296
1	122	294
2	312	274
3	917	250
4	2885	249
5	3749	249
6	5943	249
7	7045	249
8	7825	249

Stop Event

1×	node limit

Counts

35 → 27

Calls

Call 1

Inputs
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) im)
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (*.f64 (exp.f64 re) im))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5))) (*.f64 (exp.f64 re) im)))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5))) (+.f64 (.f64 -1/5040 (.f64 (exp.f64 re) (pow.f64 im 7))) (*.f64 (exp.f64 re) im))))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))

Outputs
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 re 1) (sin.f64 im))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(+.f64 (sin.f64 im) (fma.f64 (sin.f64 im) re (.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))))
(+.f64 (.f64 (+.f64 re 1) (sin.f64 im)) (.f64 (.f64 re re) (.f64 (sin.f64 im) 1/2)))
(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))
(.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re 1/2) 1)))
(fma.f64 (sin.f64 im) (fma.f64 re (*.f64 re 1/2) re) (sin.f64 im))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))
(+.f64 (sin.f64 im) (fma.f64 (sin.f64 im) re (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 1/2 (.f64 (sin.f64 im) (.f64 re re))))))
(+.f64 (.f64 (+.f64 re 1) (sin.f64 im)) (fma.f64 1/2 (.f64 (sin.f64 im) (.f64 re re)) (.f64 (sin.f64 im) (*.f64 (pow.f64 re 3) 1/6))))
(fma.f64 (+.f64 re 1) (sin.f64 im) (.f64 (sin.f64 im) (+.f64 (.f64 re (.f64 re 1/2)) (.f64 1/6 (pow.f64 re 3)))))
(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
(.f64 (sin.f64 im) (+.f64 (fma.f64 re (.f64 re 1/2) 1) (fma.f64 1/6 (pow.f64 re 3) re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) im)
(*.f64 im (exp.f64 re))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (*.f64 (exp.f64 re) im))
(fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (.f64 im (exp.f64 re)))
(fma.f64 im (exp.f64 re) (.f64 (pow.f64 im 3) (.f64 (exp.f64 re) -1/6)))
(.f64 (exp.f64 re) (+.f64 im (.f64 -1/6 (pow.f64 im 3))))
(*.f64 (exp.f64 re) (fma.f64 -1/6 (pow.f64 im 3) im))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5))) (*.f64 (exp.f64 re) im)))
(fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (fma.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5)) (*.f64 im (exp.f64 re))))
(fma.f64 (exp.f64 re) (.f64 1/120 (pow.f64 im 5)) (.f64 (exp.f64 re) (+.f64 im (*.f64 -1/6 (pow.f64 im 3)))))
(.f64 (exp.f64 re) (+.f64 (fma.f64 1/120 (pow.f64 im 5) im) (.f64 -1/6 (pow.f64 im 3))))
(.f64 (exp.f64 re) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (fma.f64 1/120 (pow.f64 im 5) im)))
(.f64 (exp.f64 re) (+.f64 im (fma.f64 -1/6 (pow.f64 im 3) (.f64 1/120 (pow.f64 im 5)))))
(+.f64 (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5))) (+.f64 (.f64 -1/5040 (.f64 (exp.f64 re) (pow.f64 im 7))) (*.f64 (exp.f64 re) im))))
(fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (fma.f64 1/120 (.f64 (exp.f64 re) (pow.f64 im 5)) (fma.f64 -1/5040 (.f64 (exp.f64 re) (pow.f64 im 7)) (.f64 im (exp.f64 re)))))
(+.f64 (.f64 (exp.f64 re) (+.f64 im (.f64 -1/6 (pow.f64 im 3)))) (.f64 (exp.f64 re) (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/5040 (pow.f64 im 7)))))
(.f64 (exp.f64 re) (+.f64 (fma.f64 -1/6 (pow.f64 im 3) im) (fma.f64 -1/5040 (pow.f64 im 7) (.f64 1/120 (pow.f64 im 5)))))
(.f64 (exp.f64 re) (+.f64 (fma.f64 -1/6 (pow.f64 im 3) (.f64 1/120 (pow.f64 im 5))) (fma.f64 -1/5040 (pow.f64 im 7) im)))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))

eval6.0ms (0.1%)

Compiler: Compiled 292 to 144 computations (50.7% saved)

prune8.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	22	5	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	6	28

Error

0.0b

Counts

28 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.8b	(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))
▶	18.8b	(*.f64 (sin.f64 im) (+.f64 re 1))
▶	18.9b	(sin.f64 im)
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	32.9b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
▶	21.8b	(*.f64 (exp.f64 re) im)

Compiler

Compiled 113 to 77 computations (31.9% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (sin.f64 im) (+.f64 re 1))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	re	@	0	(*.f64 (sin.f64 im) (+.f64 re 1))
1.0ms	im	@	0	(*.f64 (sin.f64 im) (+.f64 re 1))
1.0ms	im	@	inf	(*.f64 (sin.f64 im) (+.f64 re 1))
0.0ms	re	@	inf	(*.f64 (sin.f64 im) (+.f64 re 1))
0.0ms	im	@	-inf	(*.f64 (sin.f64 im) (+.f64 re 1))

rewrite61.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

729×	`pow1_binary64`
676×	`log1p-expm1-u_binary64`
676×	`expm1-log1p-u_binary64`
675×	`add-log-exp_binary64`
660×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	146	9
2	1894	9

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(*.f64 (sin.f64 im) (+.f64 re 1))

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

Outputs

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

simplify115.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1174×	`distribute-rgt-in_binary64`
845×	`distribute-lft-in_binary64`
736×	`fma-def_binary64`
426×	`unswap-sqr_binary64`
372×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	274
1	84	274
2	249	254
3	929	240
4	3139	240
5	4762	240
6	5206	240
7	5914	240
8	6015	240
9	6155	240
10	6349	240

Stop Event

1×	node limit

Counts

48 → 37

Calls

Call 1

Inputs
(*.f64 (+.f64 1 re) im)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im)))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (+.f64 (.f64 (+.f64 1 re) im) (.f64 -1/5040 (*.f64 (+.f64 1 re) (pow.f64 im 7))))))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))

Outputs
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im))
(fma.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3)) (.f64 (+.f64 1 re) im))
(fma.f64 (+.f64 1 re) im (.f64 (+.f64 1 re) (.f64 (pow.f64 im 3) -1/6)))
(.f64 (+.f64 1 re) (+.f64 im (.f64 -1/6 (pow.f64 im 3))))
(*.f64 (+.f64 1 re) (fma.f64 -1/6 (pow.f64 im 3) im))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im)))
(fma.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5)) (fma.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3)) (*.f64 (+.f64 1 re) im)))
(fma.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5)) (fma.f64 (+.f64 1 re) im (.f64 (+.f64 1 re) (*.f64 (pow.f64 im 3) -1/6))))
(fma.f64 (pow.f64 im 3) (fma.f64 re -1/6 -1/6) (.f64 (+.f64 1 re) (+.f64 (.f64 1/120 (pow.f64 im 5)) im)))
(.f64 (+.f64 1 re) (+.f64 (.f64 1/120 (pow.f64 im 5)) (fma.f64 -1/6 (pow.f64 im 3) im)))
(.f64 (+.f64 1 re) (+.f64 im (fma.f64 -1/6 (pow.f64 im 3) (.f64 1/120 (pow.f64 im 5)))))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (+.f64 (.f64 (+.f64 1 re) im) (.f64 -1/5040 (*.f64 (+.f64 1 re) (pow.f64 im 7))))))
(fma.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5)) (fma.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3)) (fma.f64 (+.f64 1 re) im (.f64 -1/5040 (.f64 (+.f64 1 re) (pow.f64 im 7))))))
(fma.f64 (pow.f64 im 5) (fma.f64 re 1/120 1/120) (fma.f64 (pow.f64 im 3) (fma.f64 re -1/6 -1/6) (fma.f64 (pow.f64 im 7) (fma.f64 re -1/5040 -1/5040) (fma.f64 re im im))))
(.f64 (+.f64 1 re) (+.f64 (fma.f64 -1/6 (pow.f64 im 3) im) (fma.f64 -1/5040 (pow.f64 im 7) (.f64 1/120 (pow.f64 im 5)))))
(.f64 (+.f64 1 re) (+.f64 (fma.f64 -1/6 (pow.f64 im 3) (.f64 -1/5040 (pow.f64 im 7))) (fma.f64 1/120 (pow.f64 im 5) im)))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) re)
(*.f64 re (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) re)
(*.f64 re (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))

localize4.0ms (0.1%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize5.0ms (0.1%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 re (log.f64 (sin.f64 im)))
✓	0.2b	(log.f64 (sin.f64 im))
✓	1.1b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

Compiler

Compiled 20 to 6 computations (70% saved)

series73.0ms (1%)

Counts

3 → 23

Calls

15 calls:

Time	Variable		Point	Expression
47.0ms	im	@	inf	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
18.0ms	im	@	-inf	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
3.0ms	re	@	0	(+.f64 re (log.f64 (sin.f64 im)))
1.0ms	im	@	0	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
1.0ms	re	@	0	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

rewrite117.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`pow1_binary64`
697×	`add-log-exp_binary64`
697×	`log1p-expm1-u_binary64`
697×	`expm1-log1p-u_binary64`
681×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	142	21
2	1883	21

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

Inputs
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(log.f64 (sin.f64 im))
(+.f64 re (log.f64 (sin.f64 im)))

Outputs

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

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

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

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

727×	`unsub-neg_binary64`
522×	`fma-neg_binary64`
348×	`unswap-sqr_binary64`
339×	`*-commutative_binary64`
339×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	64	391
1	177	334
2	492	315
3	1746	299
4	4260	297

Stop Event

1×	node limit

Counts

98 → 107

Calls

Call 1

Inputs
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 -1 re)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 -1 re)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 -1 re)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 -1 re)))
(exp.f64 (+.f64 re (log.f64 im)))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (.f64 -1/6 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 2))))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (+.f64 (.f64 1/120 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 4))) (.f64 -1/6 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 2)))))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (+.f64 (.f64 1/120 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 4))) (+.f64 (.f64 -1/5040 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 6))) (.f64 -1/6 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 2))))))
(log.f64 im)
(+.f64 (*.f64 -1/6 (pow.f64 im 2)) (log.f64 im))
(+.f64 (.f64 -1/180 (pow.f64 im 4)) (+.f64 (.f64 -1/6 (pow.f64 im 2)) (log.f64 im)))
(+.f64 (.f64 -1/180 (pow.f64 im 4)) (+.f64 (.f64 -1/6 (pow.f64 im 2)) (+.f64 (log.f64 im) (*.f64 -1/2835 (pow.f64 im 6)))))
(log.f64 (sin.f64 im))
re
re
(+.f64 re (log.f64 im))
(+.f64 (*.f64 -1/6 (pow.f64 im 2)) (+.f64 re (log.f64 im)))
(+.f64 (.f64 -1/180 (pow.f64 im 4)) (+.f64 (.f64 -1/6 (pow.f64 im 2)) (+.f64 re (log.f64 im))))
(+.f64 (.f64 -1/180 (pow.f64 im 4)) (+.f64 (.f64 -1/6 (pow.f64 im 2)) (+.f64 re (+.f64 (log.f64 im) (*.f64 -1/2835 (pow.f64 im 6))))))

Outputs
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 re 1) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(+.f64 (sin.f64 im) (fma.f64 (sin.f64 im) re (.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))))
(+.f64 (.f64 (+.f64 re 1) (sin.f64 im)) (.f64 (.f64 re re) (.f64 (sin.f64 im) 1/2)))
(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))
(.f64 (sin.f64 im) (+.f64 re (+.f64 1 (.f64 re (*.f64 re 1/2)))))
(.f64 (sin.f64 im) (+.f64 1 (fma.f64 re (.f64 re 1/2) re)))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))
(+.f64 (sin.f64 im) (fma.f64 (sin.f64 im) re (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 1/2 (.f64 (sin.f64 im) (.f64 re re))))))
(+.f64 (.f64 (+.f64 re 1) (sin.f64 im)) (fma.f64 1/2 (.f64 (sin.f64 im) (.f64 re re)) (.f64 (sin.f64 im) (*.f64 (pow.f64 re 3) 1/6))))
(fma.f64 (+.f64 re 1) (sin.f64 im) (.f64 (sin.f64 im) (+.f64 (.f64 re (.f64 re 1/2)) (.f64 1/6 (pow.f64 re 3)))))
(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
(.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)) (+.f64 re 1)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 -1 re)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 -1 re)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 -1 re)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 -1 re)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 (+.f64 re (log.f64 im)))
(*.f64 im (exp.f64 re))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (.f64 -1/6 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 2))))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (.f64 -1/6 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (*.f64 im im))))
(fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (.f64 im (exp.f64 re)))
(.f64 (+.f64 (.f64 im (.f64 im -1/6)) 1) (.f64 im (exp.f64 re)))
(.f64 (exp.f64 re) (+.f64 im (.f64 -1/6 (pow.f64 im 3))))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (+.f64 (.f64 1/120 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 4))) (.f64 -1/6 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 2)))))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (fma.f64 1/120 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 4)) (.f64 -1/6 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (.f64 im im)))))
(fma.f64 (exp.f64 re) im (fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (.f64 (.f64 im (exp.f64 re)) (.f64 (pow.f64 im 4) 1/120))))
(fma.f64 im (exp.f64 re) (.f64 (.f64 im (exp.f64 re)) (+.f64 (.f64 im (.f64 im -1/6)) (*.f64 1/120 (pow.f64 im 4)))))
(fma.f64 im (exp.f64 re) (.f64 (exp.f64 re) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (*.f64 1/120 (pow.f64 im 5)))))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (+.f64 (.f64 1/120 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 4))) (+.f64 (.f64 -1/5040 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 6))) (.f64 -1/6 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 2))))))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (fma.f64 1/120 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 4)) (fma.f64 -1/5040 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 6)) (.f64 -1/6 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (*.f64 im im))))))
(fma.f64 (exp.f64 re) im (fma.f64 1/120 (.f64 (.f64 im (exp.f64 re)) (pow.f64 im 4)) (fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (.f64 (.f64 im (exp.f64 re)) (.f64 (pow.f64 im 6) -1/5040)))))
(fma.f64 im (exp.f64 re) (fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (.f64 (.f64 im (exp.f64 re)) (+.f64 (.f64 1/120 (pow.f64 im 4)) (*.f64 -1/5040 (pow.f64 im 6))))))
(+.f64 (.f64 (exp.f64 re) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (.f64 1/120 (pow.f64 im 5)))) (.f64 (exp.f64 re) (+.f64 (*.f64 -1/5040 (pow.f64 im 7)) im)))
(log.f64 im)
(+.f64 (*.f64 -1/6 (pow.f64 im 2)) (log.f64 im))
(fma.f64 -1/6 (*.f64 im im) (log.f64 im))
(fma.f64 im (*.f64 im -1/6) (log.f64 im))
(+.f64 (.f64 -1/180 (pow.f64 im 4)) (+.f64 (.f64 -1/6 (pow.f64 im 2)) (log.f64 im)))
(fma.f64 -1/180 (pow.f64 im 4) (fma.f64 -1/6 (*.f64 im im) (log.f64 im)))
(fma.f64 (pow.f64 im 4) -1/180 (fma.f64 -1/6 (*.f64 im im) (log.f64 im)))
(fma.f64 im (*.f64 im -1/6) (fma.f64 (pow.f64 im 4) -1/180 (log.f64 im)))
(+.f64 (.f64 -1/180 (pow.f64 im 4)) (+.f64 (.f64 -1/6 (pow.f64 im 2)) (+.f64 (log.f64 im) (*.f64 -1/2835 (pow.f64 im 6)))))
(fma.f64 -1/180 (pow.f64 im 4) (+.f64 (fma.f64 -1/6 (.f64 im im) (log.f64 im)) (.f64 (pow.f64 im 6) -1/2835)))
(fma.f64 (pow.f64 im 4) -1/180 (fma.f64 -1/6 (*.f64 im im) (fma.f64 (pow.f64 im 6) -1/2835 (log.f64 im))))
(fma.f64 -1/6 (*.f64 im im) (fma.f64 (pow.f64 im 4) -1/180 (fma.f64 (pow.f64 im 6) -1/2835 (log.f64 im))))
(fma.f64 im (*.f64 im -1/6) (fma.f64 (pow.f64 im 4) -1/180 (fma.f64 (pow.f64 im 6) -1/2835 (log.f64 im))))
(log.f64 (sin.f64 im))
re
re
(+.f64 re (log.f64 im))
(+.f64 (*.f64 -1/6 (pow.f64 im 2)) (+.f64 re (log.f64 im)))
(fma.f64 -1/6 (*.f64 im im) (+.f64 re (log.f64 im)))
(+.f64 re (fma.f64 -1/6 (*.f64 im im) (log.f64 im)))
(fma.f64 im (*.f64 im -1/6) (+.f64 re (log.f64 im)))
(+.f64 re (fma.f64 im (*.f64 im -1/6) (log.f64 im)))
(+.f64 (.f64 -1/180 (pow.f64 im 4)) (+.f64 (.f64 -1/6 (pow.f64 im 2)) (+.f64 re (log.f64 im))))
(fma.f64 -1/180 (pow.f64 im 4) (fma.f64 -1/6 (*.f64 im im) (+.f64 re (log.f64 im))))
(+.f64 (fma.f64 (pow.f64 im 4) -1/180 (fma.f64 -1/6 (*.f64 im im) (log.f64 im))) re)
(+.f64 re (fma.f64 im (*.f64 im -1/6) (fma.f64 (pow.f64 im 4) -1/180 (log.f64 im))))
(+.f64 (fma.f64 im (*.f64 im -1/6) (log.f64 im)) (fma.f64 (pow.f64 im 4) -1/180 re))
(+.f64 (.f64 -1/180 (pow.f64 im 4)) (+.f64 (.f64 -1/6 (pow.f64 im 2)) (+.f64 re (+.f64 (log.f64 im) (*.f64 -1/2835 (pow.f64 im 6))))))
(fma.f64 -1/180 (pow.f64 im 4) (fma.f64 -1/6 (.f64 im im) (+.f64 re (+.f64 (log.f64 im) (.f64 (pow.f64 im 6) -1/2835)))))
(fma.f64 (pow.f64 im 4) -1/180 (+.f64 (fma.f64 (pow.f64 im 6) -1/2835 (log.f64 im)) (fma.f64 -1/6 (*.f64 im im) re)))
(+.f64 re (fma.f64 -1/6 (*.f64 im im) (fma.f64 (pow.f64 im 4) -1/180 (fma.f64 (pow.f64 im 6) -1/2835 (log.f64 im)))))
(+.f64 re (fma.f64 im (*.f64 im -1/6) (fma.f64 (pow.f64 im 4) -1/180 (fma.f64 (pow.f64 im 6) -1/2835 (log.f64 im)))))

localize44.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (sin.f64 im) re)
✓	1.5b	(*.f64 (sin.f64 im) (pow.f64 re 3))
✓	2.7b	(*.f64 (sin.f64 im) (pow.f64 re 2))
✓	8.1b	(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))

Compiler

Compiled 112 to 64 computations (42.9% saved)

series13.0ms (0.2%)

Counts

4 → 19

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	im	@	inf	(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
1.0ms	im	@	0	(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
1.0ms	im	@	-inf	(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
1.0ms	re	@	inf	(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
1.0ms	re	@	0	(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))

rewrite88.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`log-prod_binary64`
444×	`fma-def_binary64`
400×	`pow2_binary64`
281×	`pow1/3_binary64`
278×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	346	48
2	4110	48

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

Inputs
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(*.f64 (sin.f64 im) (pow.f64 re 2))
(*.f64 (sin.f64 im) (pow.f64 re 3))
(*.f64 (sin.f64 im) re)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 (pow.f64 re 6) (pow.f64 (sin.f64 im) 2)) 1/36) (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 -1/2 (.f64 (sin.f64 im) (.f64 re re))))) (/.f64 (.f64 (.f64 (pow.f64 re 4) (pow.f64 (sin.f64 im) 2)) 1/4) (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 -1/2 (.f64 (sin.f64 im) (.f64 re re))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))) (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2))) 2)) (cbrt.f64 (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))) (sqrt.f64 (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (pow.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) 3) 1/216 (.f64 (pow.f64 (.f64 (sin.f64 im) 1/2) 3) (pow.f64 re 6))) (/.f64 1 (fma.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)) (-.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)) (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6))) (.f64 (.f64 (pow.f64 re 6) (pow.f64 (sin.f64 im) 2)) 1/36))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 (.f64 (pow.f64 re 6) (pow.f64 (sin.f64 im) 2)) 1/36) (.f64 (.f64 (pow.f64 re 4) (pow.f64 (sin.f64 im) 2)) 1/4)) (/.f64 1 (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 -1/2 (.f64 (sin.f64 im) (.f64 re re))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)) (-.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)) (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6))) (.f64 (.f64 (pow.f64 re 6) (pow.f64 (sin.f64 im) 2)) 1/36)) (fma.f64 (pow.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) 3) 1/216 (.f64 (pow.f64 (.f64 (sin.f64 im) 1/2) 3) (pow.f64 re 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 -1/2 (.f64 (sin.f64 im) (.f64 re re)))) (-.f64 (.f64 (.f64 (pow.f64 re 6) (pow.f64 (sin.f64 im) 2)) 1/36) (.f64 (.f64 (pow.f64 re 4) (pow.f64 (sin.f64 im) 2)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) 3) 1/216 (.f64 (pow.f64 (.f64 (sin.f64 im) 1/2) 3) (pow.f64 re 6))) (fma.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)) (-.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)) (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6))) (.f64 (.f64 (pow.f64 re 6) (pow.f64 (sin.f64 im) 2)) 1/36)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) 3) 1/216 (.f64 (pow.f64 (.f64 (sin.f64 im) 1/2) 3) (pow.f64 re 6))) (fma.f64 (.f64 (pow.f64 re 4) (pow.f64 (sin.f64 im) 2)) 1/4 (-.f64 (.f64 (.f64 (pow.f64 re 6) (pow.f64 (sin.f64 im) 2)) 1/36) (.f64 (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6)) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (pow.f64 re 6) (pow.f64 (sin.f64 im) 2)) 1/36) (.f64 (.f64 (pow.f64 re 4) (pow.f64 (sin.f64 im) 2)) 1/4)) (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 -1/2 (.f64 (sin.f64 im) (.f64 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log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 re 3)) (sin.f64 im)) 1/6) (+.f64 1 (expm1.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6)))) (+.f64 1 (expm1.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))) (pow.f64 (pow.f64 (exp.f64 (pow.f64 re 3)) (sin.f64 im)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 re) re) (sin.f64 im)) 1/2) (+.f64 1 (expm1.f64 (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))) (+.f64 1 (expm1.f64 (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/6 (.f64 (sin.f64 im) 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(.f64 (.f64 re re) 1/2)) 1 (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6)) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)) (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 1/6 (sin.f64 im))) re) (pow.f64 (.f64 (cbrt.f64 (.f64 1/6 (sin.f64 im))) re) 2) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 (cbrt.f64 (.f64 1/6 (sin.f64 im))) re) 2) (.f64 (cbrt.f64 (.f64 1/6 (sin.f64 im))) re) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2))) (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2))) 2) (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2))) 2) (cbrt.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2))) (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (.f64 re (cbrt.f64 (sin.f64 im))) 2) (.f64 (.f64 re (cbrt.f64 (sin.f64 im))) 1/6) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (.f64 re re))) 2) (.f64 (cbrt.f64 (.f64 (sin.f64 im) (.f64 re re))) 1/2) (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6))) (sqrt.f64 (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6))) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (.f64 (sin.f64 im) 1/2)) re) (.f64 (sqrt.f64 (.f64 (sin.f64 im) 1/2)) re) (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 re 3/2)) (.f64 (.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 re 3/2)) 1/6) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 re (sqrt.f64 (sin.f64 im))) (.f64 (.f64 re (sqrt.f64 (sin.f64 im))) 1/2) (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sin.f64 im) 1/2) (.f64 re re) (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (.f64 re re)) (sin.f64 im) (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (.f64 re re))) 2)) (cbrt.f64 (.f64 (sin.f64 im) (.f64 re re))) (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (.f64 re (sqrt.f64 (sin.f64 im)))) (.f64 re (sqrt.f64 (sin.f64 im))) (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (sin.f64 im) 1/2) re) re (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (sin.f64 im) 1/2) 1) (.f64 re re) (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 (sin.f64 im) 1/2) (cbrt.f64 (pow.f64 re 4))) (pow.f64 (cbrt.f64 re) 2) (.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/6 (pow.f64 re 3)) (sin.f64 im) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/6 (pow.f64 (.f64 re (cbrt.f64 (sin.f64 im))) 2)) (.f64 re (cbrt.f64 (sin.f64 im))) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/6 (.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 re 3/2))) (.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 re 3/2)) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 1/6 (sin.f64 im)) re) (.f64 re re) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 1/6 (sin.f64 im)) (.f64 re re)) re (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 1/6 (sin.f64 im)) 1) (pow.f64 re 3) (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3/2)) (pow.f64 re 3/2) (.f64 (sin.f64 im) (.f64 (*.f64 re re) 1/2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 im) (.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) re) (sin.f64 im))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 re) re) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 re) re) (sin.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 re) re) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 im) (.f64 re re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 im) (.f64 re re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 im) (.f64 re re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (.f64 re re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 re (sqrt.f64 (sin.f64 im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 re 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 re 6) (pow.f64 (sin.f64 im) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 re 4) (pow.f64 (sin.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 re) re) (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 im) (.f64 re re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (.f64 re re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 re 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 re 6) (pow.f64 (sin.f64 im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 im) (.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sin.f64 im) (.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sin.f64 im) (.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sin.f64 im) (*.f64 re re))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 im) (pow.f64 re 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 re 3)) (sin.f64 im))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 re 3)) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 re 3)) (sin.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 re 3)) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 im) (pow.f64 re 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 re (cbrt.f64 (sin.f64 im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 re 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (pow.f64 re 3) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 re 3) 3) (pow.f64 (sin.f64 im) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 re 6) (pow.f64 (sin.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 re 3)) (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 im) (pow.f64 re 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (pow.f64 re 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 re 3) 3) (pow.f64 (sin.f64 im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 im) (pow.f64 re 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sin.f64 im) (pow.f64 re 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sin.f64 im) (pow.f64 re 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sin.f64 im) (pow.f64 re 3))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 im) re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 re) (sin.f64 im))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 re) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 re) (sin.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 re) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 im) re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 im) re) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 im) re) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 im) re)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sin.f64 im) re)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 re 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 re 3) (pow.f64 (sin.f64 im) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sin.f64 im) re) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 re) (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 im) re))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 im) re) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 re 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 re 3) (pow.f64 (sin.f64 im) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sin.f64 im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sin.f64 im) re)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sin.f64 im) re)) 1))))))

simplify82.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

673×	`associate-+l+_binary64`
536×	`distribute-lft-in_binary64`
515×	`associate-l_binary64`
504×	`fma-def_binary64`
464×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	512
1	223	512
2	760	471
3	3442	448
4	6354	448
5	7247	448

Stop Event

1×	node limit

Counts

153 → 168

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (*.f64 1/6 (pow.f64 re 3))) im)
(+.f64 (.f64 (+.f64 (.f64 -1/12 (pow.f64 re 2)) (.f64 -1/36 (pow.f64 re 3))) (pow.f64 im 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3))) im))
(+.f64 (.f64 (+.f64 (.f64 1/240 (pow.f64 re 2)) (.f64 1/720 (pow.f64 re 3))) (pow.f64 im 5)) (+.f64 (.f64 (+.f64 (.f64 -1/12 (pow.f64 re 2)) (.f64 -1/36 (pow.f64 re 3))) (pow.f64 im 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (*.f64 1/6 (pow.f64 re 3))) im)))
(+.f64 (.f64 (+.f64 (.f64 1/240 (pow.f64 re 2)) (.f64 1/720 (pow.f64 re 3))) (pow.f64 im 5)) (+.f64 (.f64 (+.f64 (.f64 -1/12 (pow.f64 re 2)) (.f64 -1/36 (pow.f64 re 3))) (pow.f64 im 3)) (+.f64 (.f64 (+.f64 (.f64 -1/10080 (pow.f64 re 2)) (.f64 -1/30240 (pow.f64 re 3))) (pow.f64 im 7)) (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3))) im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)))
(*.f64 (pow.f64 re 2) im)
(+.f64 (.f64 (pow.f64 re 2) im) (.f64 -1/6 (*.f64 (pow.f64 re 2) (pow.f64 im 3))))
(+.f64 (.f64 (pow.f64 re 2) im) (+.f64 (.f64 -1/6 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (.f64 1/120 (*.f64 (pow.f64 re 2) (pow.f64 im 5)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 re 2) (pow.f64 im 7))) (+.f64 (.f64 (pow.f64 re 2) im) (+.f64 (.f64 -1/6 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (.f64 1/120 (*.f64 (pow.f64 re 2) (pow.f64 im 5))))))
(*.f64 (pow.f64 re 3) im)
(+.f64 (.f64 (pow.f64 re 3) im) (.f64 -1/6 (*.f64 (pow.f64 re 3) (pow.f64 im 3))))
(+.f64 (.f64 (pow.f64 re 3) im) (+.f64 (.f64 -1/6 (.f64 (pow.f64 re 3) (pow.f64 im 3))) (.f64 1/120 (*.f64 (pow.f64 re 3) (pow.f64 im 5)))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 re 3) (pow.f64 im 7))) (+.f64 (.f64 (pow.f64 re 3) im) (+.f64 (.f64 -1/6 (.f64 (pow.f64 re 3) (pow.f64 im 3))) (.f64 1/120 (*.f64 (pow.f64 re 3) (pow.f64 im 5))))))
(*.f64 re im)
(+.f64 (.f64 -1/6 (.f64 re (pow.f64 im 3))) (*.f64 re im))
(+.f64 (.f64 -1/6 (.f64 re (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 re (pow.f64 im 5))) (*.f64 re im)))
(+.f64 (.f64 -1/5040 (.f64 re (pow.f64 im 7))) (+.f64 (.f64 -1/6 (.f64 re (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 re (pow.f64 im 5))) (*.f64 re im))))

Outputs
(.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (*.f64 1/6 (pow.f64 re 3))) im)
(.f64 (fma.f64 1/2 (.f64 re re) (*.f64 1/6 (pow.f64 re 3))) im)
(.f64 (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))) im)
(.f64 re (.f64 im (.f64 re (+.f64 1/2 (.f64 re 1/6)))))
(+.f64 (.f64 (+.f64 (.f64 -1/12 (pow.f64 re 2)) (.f64 -1/36 (pow.f64 re 3))) (pow.f64 im 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3))) im))
(fma.f64 (fma.f64 -1/12 (.f64 re re) (.f64 (pow.f64 re 3) -1/36)) (pow.f64 im 3) (.f64 (fma.f64 1/2 (.f64 re re) (*.f64 1/6 (pow.f64 re 3))) im))
(fma.f64 (fma.f64 1/2 (.f64 re re) (.f64 1/6 (pow.f64 re 3))) im (.f64 (fma.f64 (.f64 re re) -1/12 (*.f64 (pow.f64 re 3) -1/36)) (pow.f64 im 3)))
(fma.f64 (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))) im (.f64 (.f64 (.f64 re re) (+.f64 -1/12 (*.f64 re -1/36))) (pow.f64 im 3)))
(fma.f64 (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))) im (.f64 (.f64 re (.f64 re (pow.f64 im 3))) (+.f64 -1/12 (*.f64 re -1/36))))
(fma.f64 (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))) im (.f64 (.f64 re re) (.f64 (pow.f64 im 3) (+.f64 -1/12 (*.f64 re -1/36)))))
(+.f64 (.f64 (+.f64 (.f64 1/240 (pow.f64 re 2)) (.f64 1/720 (pow.f64 re 3))) (pow.f64 im 5)) (+.f64 (.f64 (+.f64 (.f64 -1/12 (pow.f64 re 2)) (.f64 -1/36 (pow.f64 re 3))) (pow.f64 im 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (*.f64 1/6 (pow.f64 re 3))) im)))
(fma.f64 (fma.f64 1/240 (.f64 re re) (.f64 (pow.f64 re 3) 1/720)) (pow.f64 im 5) (fma.f64 (fma.f64 -1/12 (.f64 re re) (.f64 (pow.f64 re 3) -1/36)) (pow.f64 im 3) (.f64 (fma.f64 1/2 (.f64 re re) (*.f64 1/6 (pow.f64 re 3))) im)))
(fma.f64 (fma.f64 (.f64 re re) 1/240 (.f64 (pow.f64 re 3) 1/720)) (pow.f64 im 5) (fma.f64 (fma.f64 1/2 (.f64 re re) (.f64 1/6 (pow.f64 re 3))) im (.f64 (fma.f64 (.f64 re re) -1/12 (*.f64 (pow.f64 re 3) -1/36)) (pow.f64 im 3))))
(fma.f64 (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))) im (fma.f64 (.f64 (.f64 re re) (+.f64 1/240 (.f64 re 1/720))) (pow.f64 im 5) (.f64 (.f64 (.f64 re re) (+.f64 -1/12 (.f64 re -1/36))) (pow.f64 im 3))))
(fma.f64 (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))) im (fma.f64 (.f64 re (.f64 re (+.f64 1/240 (.f64 re 1/720)))) (pow.f64 im 5) (.f64 (.f64 re (.f64 re (pow.f64 im 3))) (+.f64 -1/12 (.f64 re -1/36)))))
(fma.f64 (.f64 (.f64 re re) (+.f64 -1/12 (.f64 re -1/36))) (pow.f64 im 3) (fma.f64 (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))) im (.f64 (.f64 (.f64 re re) (pow.f64 im 5)) (+.f64 1/240 (.f64 re 1/720)))))
(+.f64 (.f64 (+.f64 (.f64 1/240 (pow.f64 re 2)) (.f64 1/720 (pow.f64 re 3))) (pow.f64 im 5)) (+.f64 (.f64 (+.f64 (.f64 -1/12 (pow.f64 re 2)) (.f64 -1/36 (pow.f64 re 3))) (pow.f64 im 3)) (+.f64 (.f64 (+.f64 (.f64 -1/10080 (pow.f64 re 2)) (.f64 -1/30240 (pow.f64 re 3))) (pow.f64 im 7)) (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3))) im))))
(fma.f64 (fma.f64 1/240 (.f64 re re) (.f64 (pow.f64 re 3) 1/720)) (pow.f64 im 5) (fma.f64 (fma.f64 -1/12 (.f64 re re) (.f64 (pow.f64 re 3) -1/36)) (pow.f64 im 3) (fma.f64 (fma.f64 -1/10080 (.f64 re re) (.f64 (pow.f64 re 3) -1/30240)) (pow.f64 im 7) (.f64 (fma.f64 1/2 (.f64 re re) (*.f64 1/6 (pow.f64 re 3))) im))))
(fma.f64 (fma.f64 (.f64 re re) 1/240 (.f64 (pow.f64 re 3) 1/720)) (pow.f64 im 5) (fma.f64 (fma.f64 (.f64 re re) -1/12 (.f64 (pow.f64 re 3) -1/36)) (pow.f64 im 3) (fma.f64 (fma.f64 1/2 (.f64 re re) (.f64 1/6 (pow.f64 re 3))) im (.f64 (fma.f64 (.f64 re re) -1/10080 (*.f64 (pow.f64 re 3) -1/30240)) (pow.f64 im 7)))))
(fma.f64 (.f64 (.f64 re re) (+.f64 1/240 (.f64 re 1/720))) (pow.f64 im 5) (fma.f64 (.f64 (.f64 re re) (+.f64 -1/10080 (.f64 re -1/30240))) (pow.f64 im 7) (fma.f64 (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))) im (.f64 (.f64 (.f64 re re) (+.f64 -1/12 (*.f64 re -1/36))) (pow.f64 im 3)))))
(fma.f64 (.f64 (.f64 re re) (+.f64 -1/12 (.f64 re -1/36))) (pow.f64 im 3) (fma.f64 (.f64 re (.f64 re (+.f64 1/240 (.f64 re 1/720)))) (pow.f64 im 5) (fma.f64 (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))) im (.f64 (.f64 (.f64 re re) (pow.f64 im 7)) (+.f64 -1/10080 (*.f64 re -1/30240))))))
(fma.f64 (.f64 re (.f64 re (+.f64 1/240 (.f64 re 1/720)))) (pow.f64 im 5) (fma.f64 (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))) im (fma.f64 (.f64 (.f64 re re) (+.f64 -1/12 (.f64 re -1/36))) (pow.f64 im 3) (.f64 (.f64 re re) (.f64 (pow.f64 im 7) (+.f64 -1/10080 (*.f64 re -1/30240)))))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 1/2 (*.f64 re re)) (sin.f64 im))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)))
(.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)))
(.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)))
(.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)))
(.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im)))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 re re) im)
(.f64 re (.f64 re im))
(+.f64 (.f64 (pow.f64 re 2) im) (.f64 -1/6 (*.f64 (pow.f64 re 2) (pow.f64 im 3))))
(fma.f64 (.f64 re re) im (.f64 -1/6 (.f64 (.f64 re re) (pow.f64 im 3))))
(fma.f64 (.f64 re re) im (.f64 (.f64 re re) (.f64 (pow.f64 im 3) -1/6)))
(.f64 (.f64 re re) (+.f64 (*.f64 (pow.f64 im 3) -1/6) im))
(.f64 (.f64 re re) (+.f64 im (*.f64 (pow.f64 im 3) -1/6)))
(.f64 re (.f64 re (+.f64 im (*.f64 (pow.f64 im 3) -1/6))))
(+.f64 (.f64 (pow.f64 re 2) im) (+.f64 (.f64 -1/6 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (.f64 1/120 (*.f64 (pow.f64 re 2) (pow.f64 im 5)))))
(fma.f64 (.f64 re re) im (fma.f64 -1/6 (.f64 (.f64 re re) (pow.f64 im 3)) (.f64 1/120 (.f64 (.f64 re re) (pow.f64 im 5)))))
(fma.f64 (.f64 re re) im (fma.f64 -1/6 (.f64 re (.f64 re (pow.f64 im 3))) (.f64 (.f64 1/120 (pow.f64 im 5)) (.f64 re re))))
(fma.f64 (.f64 re re) (.f64 (pow.f64 im 3) -1/6) (.f64 (.f64 re re) (+.f64 im (*.f64 (pow.f64 im 5) 1/120))))
(.f64 (.f64 re re) (+.f64 im (+.f64 (.f64 (pow.f64 im 5) 1/120) (.f64 (pow.f64 im 3) -1/6))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 re 2) (pow.f64 im 7))) (+.f64 (.f64 (pow.f64 re 2) im) (+.f64 (.f64 -1/6 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (.f64 1/120 (*.f64 (pow.f64 re 2) (pow.f64 im 5))))))
(fma.f64 -1/5040 (.f64 (.f64 re re) (pow.f64 im 7)) (fma.f64 (.f64 re re) im (fma.f64 -1/6 (.f64 (.f64 re re) (pow.f64 im 3)) (.f64 1/120 (.f64 (.f64 re re) (pow.f64 im 5))))))
(fma.f64 -1/5040 (.f64 re (.f64 re (pow.f64 im 7))) (fma.f64 (.f64 re re) im (fma.f64 -1/6 (.f64 re (.f64 re (pow.f64 im 3))) (.f64 (.f64 1/120 (pow.f64 im 5)) (.f64 re re)))))
(+.f64 (.f64 (.f64 re re) (+.f64 (.f64 (pow.f64 im 3) -1/6) im)) (.f64 (.f64 re re) (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 7) -1/5040))))
(.f64 (.f64 re re) (+.f64 (+.f64 (.f64 (pow.f64 im 5) 1/120) (.f64 (pow.f64 im 3) -1/6)) (+.f64 im (*.f64 (pow.f64 im 7) -1/5040))))
(.f64 (.f64 re re) (+.f64 (+.f64 (.f64 (pow.f64 im 7) -1/5040) (.f64 (pow.f64 im 5) 1/120)) (+.f64 im (*.f64 (pow.f64 im 3) -1/6))))
(*.f64 (pow.f64 re 3) im)
(+.f64 (.f64 (pow.f64 re 3) im) (.f64 -1/6 (*.f64 (pow.f64 re 3) (pow.f64 im 3))))
(fma.f64 (pow.f64 re 3) im (.f64 (.f64 -1/6 (pow.f64 re 3)) (pow.f64 im 3)))
(fma.f64 (pow.f64 re 3) im (.f64 (pow.f64 re 3) (.f64 (pow.f64 im 3) -1/6)))
(.f64 (pow.f64 re 3) (+.f64 im (.f64 (pow.f64 im 3) -1/6)))
(+.f64 (.f64 (pow.f64 re 3) im) (+.f64 (.f64 -1/6 (.f64 (pow.f64 re 3) (pow.f64 im 3))) (.f64 1/120 (*.f64 (pow.f64 re 3) (pow.f64 im 5)))))
(fma.f64 (pow.f64 re 3) im (fma.f64 -1/6 (.f64 (pow.f64 re 3) (pow.f64 im 3)) (.f64 1/120 (*.f64 (pow.f64 re 3) (pow.f64 im 5)))))
(fma.f64 (pow.f64 re 3) im (fma.f64 -1/6 (.f64 (pow.f64 re 3) (pow.f64 im 3)) (.f64 (pow.f64 re 3) (*.f64 (pow.f64 im 5) 1/120))))
(fma.f64 (pow.f64 re 3) im (.f64 (pow.f64 re 3) (+.f64 (.f64 (pow.f64 im 3) -1/6) (*.f64 (pow.f64 im 5) 1/120))))
(.f64 (pow.f64 re 3) (+.f64 im (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 3) -1/6))))
(+.f64 (.f64 -1/5040 (.f64 (pow.f64 re 3) (pow.f64 im 7))) (+.f64 (.f64 (pow.f64 re 3) im) (+.f64 (.f64 -1/6 (.f64 (pow.f64 re 3) (pow.f64 im 3))) (.f64 1/120 (*.f64 (pow.f64 re 3) (pow.f64 im 5))))))
(fma.f64 -1/5040 (.f64 (pow.f64 re 3) (pow.f64 im 7)) (fma.f64 (pow.f64 re 3) im (fma.f64 -1/6 (.f64 (pow.f64 re 3) (pow.f64 im 3)) (.f64 1/120 (.f64 (pow.f64 re 3) (pow.f64 im 5))))))
(fma.f64 -1/5040 (.f64 (pow.f64 re 3) (pow.f64 im 7)) (fma.f64 (pow.f64 re 3) im (fma.f64 -1/6 (.f64 (pow.f64 re 3) (pow.f64 im 3)) (.f64 (pow.f64 re 3) (.f64 (pow.f64 im 5) 1/120)))))
(+.f64 (.f64 (pow.f64 re 3) (+.f64 im (.f64 (pow.f64 im 3) -1/6))) (.f64 (pow.f64 re 3) (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 7) -1/5040))))
(.f64 (pow.f64 re 3) (+.f64 (+.f64 (.f64 (pow.f64 im 5) 1/120) (.f64 (pow.f64 im 3) -1/6)) (+.f64 im (.f64 (pow.f64 im 7) -1/5040))))
(*.f64 re im)
(+.f64 (.f64 -1/6 (.f64 re (pow.f64 im 3))) (*.f64 re im))
(fma.f64 -1/6 (.f64 re (pow.f64 im 3)) (.f64 re im))
(fma.f64 re im (.f64 re (.f64 (pow.f64 im 3) -1/6)))
(.f64 re (+.f64 im (.f64 (pow.f64 im 3) -1/6)))
(+.f64 (.f64 -1/6 (.f64 re (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 re (pow.f64 im 5))) (*.f64 re im)))
(fma.f64 -1/6 (.f64 re (pow.f64 im 3)) (fma.f64 1/120 (.f64 re (pow.f64 im 5)) (*.f64 re im)))
(fma.f64 -1/6 (.f64 re (pow.f64 im 3)) (fma.f64 (.f64 re 1/120) (pow.f64 im 5) (*.f64 re im)))
(fma.f64 re im (.f64 re (+.f64 (.f64 (pow.f64 im 3) -1/6) (*.f64 (pow.f64 im 5) 1/120))))
(.f64 re (+.f64 im (+.f64 (.f64 (pow.f64 im 5) 1/120) (*.f64 (pow.f64 im 3) -1/6))))
(+.f64 (.f64 -1/5040 (.f64 re (pow.f64 im 7))) (+.f64 (.f64 -1/6 (.f64 re (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 re (pow.f64 im 5))) (*.f64 re im))))
(fma.f64 -1/5040 (.f64 re (pow.f64 im 7)) (fma.f64 -1/6 (.f64 re (pow.f64 im 3)) (fma.f64 1/120 (.f64 re (pow.f64 im 5)) (.f64 re im))))
(fma.f64 -1/5040 (.f64 re (pow.f64 im 7)) (fma.f64 -1/6 (.f64 re (pow.f64 im 3)) (fma.f64 (.f64 re 1/120) (pow.f64 im 5) (.f64 re im))))
(fma.f64 re (.f64 (pow.f64 im 7) -1/5040) (fma.f64 re im (.f64 re (+.f64 (.f64 (pow.f64 im 3) -1/6) (.f64 (pow.f64 im 5) 1/120)))))
(.f64 re (+.f64 (+.f64 im (.f64 (pow.f64 im 7) -1/5040)) (+.f64 (.f64 (pow.f64 im 5) 1/120) (.f64 (pow.f64 im 3) -1/6))))
(.f64 re (+.f64 (+.f64 im (.f64 (pow.f64 im 5) 1/120)) (+.f64 (.f64 (pow.f64 im 7) -1/5040) (.f64 (pow.f64 im 3) -1/6))))

eval121.0ms (1.7%)

Compiler: Compiled 7171 to 3707 computations (48.3% saved)

prune149.0ms (2.1%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	305	7	312
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	307	11	318

Error

0.0b

Counts

318 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.8b	(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (fma.f64 (.f64 (.f64 1/6 (sin.f64 im)) (.f64 re re)) re (.f64 (sin.f64 im) (.f64 (*.f64 re re) 1/2)))))
✓	18.8b	(*.f64 (sin.f64 im) (+.f64 re 1))
	19.0b	(/.f64 (*.f64 (fma.f64 re re -1) (sin.f64 im)) (+.f64 re -1))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	35.7b	(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)
▶	40.3b	(*.f64 (+.f64 1 re) im)
▶	42.6b	(exp.f64 re)
▶	61.2b	(*.f64 (sin.f64 im) re)
	18.8b	(.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)) (+.f64 re 1)))
✓	18.9b	(sin.f64 im)
✓	21.8b	(*.f64 (exp.f64 re) im)

Compiler

Compiled 201 to 134 computations (33.3% saved)

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 1/6 (sin.f64 im))
✓	2.7b	(.f64 (sin.f64 im) (.f64 (*.f64 re re) 1/2))
✓	2.7b	(.f64 (.f64 1/6 (sin.f64 im)) (*.f64 re re))
✓	8.1b	(fma.f64 (.f64 (.f64 1/6 (sin.f64 im)) (.f64 re re)) re (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))

Compiler

Compiled 107 to 41 computations (61.7% saved)

series9.0ms (0.1%)

Counts

4 → 76

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	im	@	-inf	(fma.f64 (.f64 (.f64 1/6 (sin.f64 im)) (.f64 re re)) re (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))
1.0ms	im	@	0	(fma.f64 (.f64 (.f64 1/6 (sin.f64 im)) (.f64 re re)) re (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))
1.0ms	im	@	inf	(fma.f64 (.f64 (.f64 1/6 (sin.f64 im)) (.f64 re re)) re (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))
1.0ms	re	@	-inf	(fma.f64 (.f64 (.f64 1/6 (sin.f64 im)) (.f64 re re)) re (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))
1.0ms	re	@	inf	(fma.f64 (.f64 (.f64 1/6 (sin.f64 im)) (.f64 re re)) re (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))

rewrite76.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`log-prod_binary64`
413×	`pow-prod-down_binary64`
351×	`prod-diff_binary64`
309×	`pow2_binary64`
256×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	247	56
2	2934	54

Stop Event

1×	node limit

Counts

4 → 93

Calls

Call 1

Inputs
(fma.f64 (.f64 (.f64 1/6 (sin.f64 im)) (.f64 re re)) re (.f64 (sin.f64 im) (.f64 (.f64 re re) 1/2)))
(.f64 (.f64 1/6 (sin.f64 im)) (*.f64 re re))
(.f64 (sin.f64 im) (.f64 (*.f64 re re) 1/2))
(*.f64 1/6 (sin.f64 im))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)) (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)) 1) (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)))) 2) (cbrt.f64 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)))) (sqrt.f64 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)) 3) (pow.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))) 3)) (+.f64 (pow.f64 (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)) 2) (-.f64 (.f64 (.f64 1/4 (pow.f64 re 4)) (pow.f64 (sin.f64 im) 2)) (.f64 (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)) (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)) 2) (.f64 (.f64 1/4 (pow.f64 re 4)) (pow.f64 (sin.f64 im) 2))) (-.f64 (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)) (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (.f64 1/6 (sin.f64 im)) (pow.f64 re 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 (.f64 (sin.f64 im) (.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (.f64 (sin.f64 im) (.f64 re re)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (.f64 (sin.f64 im) (.f64 re re))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (.f64 (sin.f64 im) (.f64 re re))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (.f64 (sin.f64 im) (.f64 re re))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/6 (.f64 (sin.f64 im) (.f64 re re))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (.f64 (sin.f64 im) (.f64 re re))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 re (sqrt.f64 (.f64 1/6 (sin.f64 im)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 re (sqrt.f64 (.f64 1/6 (sin.f64 im)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/6 (.f64 (sin.f64 im) (.f64 re re)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 re (sqrt.f64 (.f64 1/6 (sin.f64 im)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 re (sqrt.f64 (.f64 1/6 (sin.f64 im)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (.f64 (sin.f64 im) (.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (.f64 (sin.f64 im) (.f64 re re))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 re (sqrt.f64 (.f64 1/6 (sin.f64 im)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/6 (.f64 (sin.f64 im) (.f64 re re)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/6 (.f64 (sin.f64 im) (.f64 re re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/6 (.f64 (sin.f64 im) (.f64 re re)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/6 (.f64 (sin.f64 im) (.f64 re re)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 re (sqrt.f64 (.f64 1/6 (sin.f64 im)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/6 (.f64 (sin.f64 im) (.f64 re re))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 re (sqrt.f64 (.f64 1/6 (sin.f64 im))))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 re)) re) (sin.f64 im))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 re)) re) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 re)) re) (sin.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 re)) re) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 1/4 (pow.f64 re 4)) (pow.f64 (sin.f64 im) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 re (sqrt.f64 1/2)) (sqrt.f64 (sin.f64 im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 1/4 (pow.f64 re 4)) (pow.f64 (sin.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 re)) re) (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (*.f64 re (sqrt.f64 1/2)) (sqrt.f64 (sin.f64 im)))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (sin.f64 im))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (sin.f64 im)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/6 (sin.f64 im)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (sin.f64 im)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/36 (pow.f64 (sin.f64 im) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/6 (sin.f64 im)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/6 (sin.f64 im))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/6 (sin.f64 im))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 1/36 (pow.f64 (sin.f64 im) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/6 (sin.f64 im)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/6 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/6 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/6 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/6 (sin.f64 im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/6 (sin.f64 im)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/6 (sin.f64 im)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/6 (sin.f64 im)))) 2))))))

simplify127.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

674×	`associate-+l+_binary64`
628×	`fma-def_binary64`
608×	`distribute-rgt-out_binary64`
466×	`associate-+r+_binary64`
464×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	1406
1	219	1406
2	699	1258
3	2988	1234
4	6049	1234
5	7949	1234

Stop Event

1×	node limit

Counts

169 → 132

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (*.f64 1/6 (pow.f64 re 3))) im)
(+.f64 (.f64 (+.f64 (.f64 -1/12 (pow.f64 re 2)) (.f64 -1/36 (pow.f64 re 3))) (pow.f64 im 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3))) im))
(+.f64 (.f64 (+.f64 (.f64 1/240 (pow.f64 re 2)) (.f64 1/720 (pow.f64 re 3))) (pow.f64 im 5)) (+.f64 (.f64 (+.f64 (.f64 -1/12 (pow.f64 re 2)) (.f64 -1/36 (pow.f64 re 3))) (pow.f64 im 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (*.f64 1/6 (pow.f64 re 3))) im)))
(+.f64 (.f64 (+.f64 (.f64 1/240 (pow.f64 re 2)) (.f64 1/720 (pow.f64 re 3))) (pow.f64 im 5)) (+.f64 (.f64 (+.f64 (.f64 -1/12 (pow.f64 re 2)) (.f64 -1/36 (pow.f64 re 3))) (pow.f64 im 3)) (+.f64 (.f64 (+.f64 (.f64 -1/10080 (pow.f64 re 2)) (.f64 -1/30240 (pow.f64 re 3))) (pow.f64 im 7)) (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3))) im))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(.f64 1/6 (.f64 (pow.f64 re 2) im))
(+.f64 (.f64 1/6 (.f64 (pow.f64 re 2) im)) (.f64 -1/36 (.f64 (pow.f64 re 2) (pow.f64 im 3))))
(+.f64 (.f64 1/720 (.f64 (pow.f64 re 2) (pow.f64 im 5))) (+.f64 (.f64 1/6 (.f64 (pow.f64 re 2) im)) (.f64 -1/36 (.f64 (pow.f64 re 2) (pow.f64 im 3)))))
(+.f64 (.f64 1/720 (.f64 (pow.f64 re 2) (pow.f64 im 5))) (+.f64 (.f64 1/6 (.f64 (pow.f64 re 2) im)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (.f64 -1/30240 (.f64 (pow.f64 re 2) (pow.f64 im 7))))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (pow.f64 re 2) im))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (.f64 1/2 (.f64 (pow.f64 re 2) im)))
(+.f64 (.f64 1/240 (.f64 (pow.f64 re 2) (pow.f64 im 5))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (.f64 1/2 (.f64 (pow.f64 re 2) im))))
(+.f64 (.f64 1/240 (.f64 (pow.f64 re 2) (pow.f64 im 5))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (+.f64 (.f64 -1/10080 (.f64 (pow.f64 re 2) (pow.f64 im 7))) (.f64 1/2 (.f64 (pow.f64 re 2) im)))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(*.f64 1/6 im)
(+.f64 (.f64 -1/36 (pow.f64 im 3)) (.f64 1/6 im))
(+.f64 (.f64 -1/36 (pow.f64 im 3)) (+.f64 (.f64 1/720 (pow.f64 im 5)) (*.f64 1/6 im)))
(+.f64 (.f64 -1/30240 (pow.f64 im 7)) (+.f64 (.f64 -1/36 (pow.f64 im 3)) (+.f64 (.f64 1/720 (pow.f64 im 5)) (.f64 1/6 im))))

Outputs
(.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (*.f64 1/6 (pow.f64 re 3))) im)
(.f64 (fma.f64 1/2 (.f64 re re) (*.f64 1/6 (pow.f64 re 3))) im)
(.f64 (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))) im)
(.f64 (.f64 re (.f64 re im)) (+.f64 1/2 (.f64 re 1/6)))
(.f64 re (.f64 (.f64 re im) (+.f64 1/2 (.f64 re 1/6))))
(+.f64 (.f64 (+.f64 (.f64 -1/12 (pow.f64 re 2)) (.f64 -1/36 (pow.f64 re 3))) (pow.f64 im 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3))) im))
(fma.f64 (fma.f64 -1/12 (.f64 re re) (.f64 (pow.f64 re 3) -1/36)) (pow.f64 im 3) (.f64 (fma.f64 1/2 (.f64 re re) (*.f64 1/6 (pow.f64 re 3))) im))
(fma.f64 (fma.f64 1/2 (.f64 re re) (.f64 1/6 (pow.f64 re 3))) im (.f64 (fma.f64 (.f64 re re) -1/12 (*.f64 (pow.f64 re 3) -1/36)) (pow.f64 im 3)))
(fma.f64 (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))) im (.f64 (.f64 (.f64 re re) (+.f64 (*.f64 re -1/36) -1/12)) (pow.f64 im 3)))
(fma.f64 (.f64 re (.f64 re (+.f64 1/2 (.f64 re 1/6)))) im (.f64 (.f64 re (.f64 re (pow.f64 im 3))) (+.f64 -1/12 (*.f64 re -1/36))))
(fma.f64 (.f64 re (.f64 re (+.f64 -1/12 (.f64 re -1/36)))) (pow.f64 im 3) (.f64 re (.f64 (.f64 re im) (+.f64 1/2 (*.f64 re 1/6)))))
(+.f64 (.f64 (+.f64 (.f64 1/240 (pow.f64 re 2)) (.f64 1/720 (pow.f64 re 3))) (pow.f64 im 5)) (+.f64 (.f64 (+.f64 (.f64 -1/12 (pow.f64 re 2)) (.f64 -1/36 (pow.f64 re 3))) (pow.f64 im 3)) (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (*.f64 1/6 (pow.f64 re 3))) im)))
(fma.f64 (fma.f64 1/240 (.f64 re re) (.f64 (pow.f64 re 3) 1/720)) (pow.f64 im 5) (fma.f64 (fma.f64 -1/12 (.f64 re re) (.f64 (pow.f64 re 3) -1/36)) (pow.f64 im 3) (.f64 (fma.f64 1/2 (.f64 re re) (*.f64 1/6 (pow.f64 re 3))) im)))
(fma.f64 (fma.f64 (.f64 re re) 1/240 (.f64 (pow.f64 re 3) 1/720)) (pow.f64 im 5) (fma.f64 (fma.f64 1/2 (.f64 re re) (.f64 1/6 (pow.f64 re 3))) im (.f64 (fma.f64 (.f64 re re) -1/12 (*.f64 (pow.f64 re 3) -1/36)) (pow.f64 im 3))))
(fma.f64 (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))) im (fma.f64 (.f64 (.f64 re re) (+.f64 (.f64 re -1/36) -1/12)) (pow.f64 im 3) (.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/720) 1/240)) (pow.f64 im 5))))
(fma.f64 (.f64 re (.f64 re (+.f64 1/2 (.f64 re 1/6)))) im (fma.f64 (.f64 re (.f64 re (+.f64 1/240 (.f64 re 1/720)))) (pow.f64 im 5) (.f64 (.f64 re (.f64 re (pow.f64 im 3))) (+.f64 -1/12 (.f64 re -1/36)))))
(fma.f64 (.f64 re (.f64 re (+.f64 1/2 (.f64 re 1/6)))) im (fma.f64 (.f64 (.f64 re re) (+.f64 1/240 (.f64 re 1/720))) (pow.f64 im 5) (.f64 (.f64 re (.f64 re (pow.f64 im 3))) (+.f64 -1/12 (.f64 re -1/36)))))
(+.f64 (.f64 (+.f64 (.f64 1/240 (pow.f64 re 2)) (.f64 1/720 (pow.f64 re 3))) (pow.f64 im 5)) (+.f64 (.f64 (+.f64 (.f64 -1/12 (pow.f64 re 2)) (.f64 -1/36 (pow.f64 re 3))) (pow.f64 im 3)) (+.f64 (.f64 (+.f64 (.f64 -1/10080 (pow.f64 re 2)) (.f64 -1/30240 (pow.f64 re 3))) (pow.f64 im 7)) (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3))) im))))
(fma.f64 (fma.f64 1/240 (.f64 re re) (.f64 (pow.f64 re 3) 1/720)) (pow.f64 im 5) (fma.f64 (fma.f64 -1/12 (.f64 re re) (.f64 (pow.f64 re 3) -1/36)) (pow.f64 im 3) (fma.f64 (fma.f64 -1/10080 (.f64 re re) (.f64 (pow.f64 re 3) -1/30240)) (pow.f64 im 7) (.f64 (fma.f64 1/2 (.f64 re re) (*.f64 1/6 (pow.f64 re 3))) im))))
(fma.f64 (fma.f64 (.f64 re re) 1/240 (.f64 (pow.f64 re 3) 1/720)) (pow.f64 im 5) (fma.f64 (fma.f64 (.f64 re re) -1/12 (.f64 (pow.f64 re 3) -1/36)) (pow.f64 im 3) (fma.f64 (fma.f64 1/2 (.f64 re re) (.f64 1/6 (pow.f64 re 3))) im (.f64 (fma.f64 (.f64 re re) -1/10080 (*.f64 (pow.f64 re 3) -1/30240)) (pow.f64 im 7)))))
(fma.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/720) 1/240)) (pow.f64 im 5) (fma.f64 (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))) im (fma.f64 (.f64 (.f64 re re) (+.f64 (.f64 re -1/36) -1/12)) (pow.f64 im 3) (.f64 (.f64 (.f64 re re) (+.f64 (*.f64 re -1/30240) -1/10080)) (pow.f64 im 7)))))
(fma.f64 (.f64 (.f64 re re) (+.f64 -1/12 (.f64 re -1/36))) (pow.f64 im 3) (fma.f64 (.f64 re (.f64 re (+.f64 1/240 (.f64 re 1/720)))) (pow.f64 im 5) (fma.f64 (.f64 re (.f64 re (+.f64 1/2 (.f64 re 1/6)))) im (.f64 (.f64 re (.f64 re (pow.f64 im 7))) (+.f64 -1/10080 (*.f64 re -1/30240))))))
(fma.f64 (.f64 re (.f64 re (+.f64 -1/12 (.f64 re -1/36)))) (pow.f64 im 3) (fma.f64 (.f64 (.f64 re re) (+.f64 1/240 (.f64 re 1/720))) (pow.f64 im 5) (fma.f64 (.f64 (.f64 re re) (+.f64 -1/10080 (.f64 re -1/30240))) (pow.f64 im 7) (.f64 re (.f64 (.f64 re im) (+.f64 1/2 (*.f64 re 1/6)))))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)) (.f64 (.f64 1/2 (sin.f64 im)) (.f64 re re)))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im))))
(.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))
(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)) (.f64 (.f64 1/2 (sin.f64 im)) (.f64 re re)))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im))))
(.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))
(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)) (.f64 (.f64 1/2 (sin.f64 im)) (.f64 re re)))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im))))
(.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))
(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)) (.f64 (.f64 1/2 (sin.f64 im)) (.f64 re re)))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im))))
(.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))
(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)) (.f64 (.f64 1/2 (sin.f64 im)) (.f64 re re)))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im))))
(.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))
(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)) (.f64 (.f64 1/2 (sin.f64 im)) (.f64 re re)))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im))))
(.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))
(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)) (.f64 (.f64 1/2 (sin.f64 im)) (.f64 re re)))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im))))
(.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))
(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)) (.f64 (.f64 1/2 (sin.f64 im)) (.f64 re re)))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im))))
(.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))
(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)) (.f64 (.f64 1/2 (sin.f64 im)) (.f64 re re)))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im))))
(.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))
(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)) (.f64 (.f64 1/2 (sin.f64 im)) (.f64 re re)))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im))))
(.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))
(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)) (.f64 (.f64 1/2 (sin.f64 im)) (.f64 re re)))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im))))
(.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))
(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)))
(.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)))
(.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)) (.f64 (.f64 1/2 (sin.f64 im)) (.f64 re re)))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im))))
(.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))
(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)) (.f64 (.f64 1/2 (sin.f64 im)) (.f64 re re)))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im))))
(.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))
(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)) (.f64 (.f64 1/2 (sin.f64 im)) (.f64 re re)))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im))))
(.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))
(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)))
(.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)))
(.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)) (.f64 (.f64 1/2 (sin.f64 im)) (.f64 re re)))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im))))
(.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))
(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)) (.f64 (.f64 1/2 (sin.f64 im)) (.f64 re re)))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im))))
(.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))
(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(fma.f64 1/6 (.f64 (pow.f64 re 3) (sin.f64 im)) (.f64 (.f64 1/2 (sin.f64 im)) (.f64 re re)))
(fma.f64 1/2 (.f64 re (.f64 re (sin.f64 im))) (.f64 (pow.f64 re 3) (.f64 1/6 (sin.f64 im))))
(.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))
(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
(.f64 1/6 (.f64 (pow.f64 re 2) im))
(.f64 (.f64 1/6 (*.f64 re re)) im)
(.f64 (.f64 re re) (*.f64 1/6 im))
(.f64 (.f64 re im) (*.f64 re 1/6))
(.f64 1/6 (.f64 re (*.f64 re im)))
(.f64 re (.f64 re (*.f64 1/6 im)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 re 2) im)) (.f64 -1/36 (.f64 (pow.f64 re 2) (pow.f64 im 3))))
(fma.f64 1/6 (.f64 (.f64 re re) im) (.f64 -1/36 (.f64 (*.f64 re re) (pow.f64 im 3))))
(fma.f64 1/6 (.f64 re (.f64 re im)) (.f64 (.f64 re re) (*.f64 -1/36 (pow.f64 im 3))))
(.f64 (.f64 re re) (fma.f64 1/6 im (*.f64 -1/36 (pow.f64 im 3))))
(.f64 re (.f64 re (fma.f64 1/6 im (*.f64 -1/36 (pow.f64 im 3)))))
(+.f64 (.f64 1/720 (.f64 (pow.f64 re 2) (pow.f64 im 5))) (+.f64 (.f64 1/6 (.f64 (pow.f64 re 2) im)) (.f64 -1/36 (.f64 (pow.f64 re 2) (pow.f64 im 3)))))
(fma.f64 1/720 (.f64 (.f64 re re) (pow.f64 im 5)) (fma.f64 1/6 (.f64 (.f64 re re) im) (.f64 -1/36 (.f64 (*.f64 re re) (pow.f64 im 3)))))
(fma.f64 1/720 (.f64 re (.f64 re (pow.f64 im 5))) (fma.f64 1/6 (.f64 re (.f64 re im)) (.f64 (.f64 re re) (*.f64 -1/36 (pow.f64 im 3)))))
(fma.f64 (.f64 re re) (.f64 1/6 im) (.f64 (.f64 re re) (fma.f64 -1/36 (pow.f64 im 3) (*.f64 1/720 (pow.f64 im 5)))))
(.f64 (.f64 re re) (fma.f64 1/6 im (fma.f64 1/720 (pow.f64 im 5) (*.f64 -1/36 (pow.f64 im 3)))))
(.f64 (.f64 re re) (fma.f64 1/6 im (fma.f64 -1/36 (pow.f64 im 3) (*.f64 1/720 (pow.f64 im 5)))))
(+.f64 (.f64 1/720 (.f64 (pow.f64 re 2) (pow.f64 im 5))) (+.f64 (.f64 1/6 (.f64 (pow.f64 re 2) im)) (+.f64 (.f64 -1/36 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (.f64 -1/30240 (.f64 (pow.f64 re 2) (pow.f64 im 7))))))
(fma.f64 1/720 (.f64 (.f64 re re) (pow.f64 im 5)) (fma.f64 1/6 (.f64 (.f64 re re) im) (fma.f64 -1/36 (.f64 (.f64 re re) (pow.f64 im 3)) (.f64 -1/30240 (.f64 (*.f64 re re) (pow.f64 im 7))))))
(fma.f64 1/720 (.f64 re (.f64 re (pow.f64 im 5))) (fma.f64 1/6 (.f64 re (.f64 re im)) (fma.f64 -1/36 (.f64 re (.f64 re (pow.f64 im 3))) (.f64 (.f64 re re) (*.f64 -1/30240 (pow.f64 im 7))))))
(+.f64 (.f64 (.f64 re re) (fma.f64 -1/30240 (pow.f64 im 7) (.f64 -1/36 (pow.f64 im 3)))) (.f64 (.f64 re re) (fma.f64 1/720 (pow.f64 im 5) (.f64 1/6 im))))
(.f64 (.f64 re re) (fma.f64 -1/30240 (pow.f64 im 7) (fma.f64 1/6 im (fma.f64 1/720 (pow.f64 im 5) (*.f64 -1/36 (pow.f64 im 3))))))
(.f64 (.f64 re re) (fma.f64 -1/30240 (pow.f64 im 7) (fma.f64 1/6 im (fma.f64 -1/36 (pow.f64 im 3) (*.f64 1/720 (pow.f64 im 5))))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/6 (.f64 (*.f64 re re) (sin.f64 im)))
(.f64 (.f64 re re) (*.f64 1/6 (sin.f64 im)))
(.f64 re (.f64 1/6 (*.f64 re (sin.f64 im))))
(.f64 1/2 (.f64 (pow.f64 re 2) im))
(.f64 1/2 (.f64 (*.f64 re re) im))
(.f64 1/2 (.f64 re (*.f64 re im)))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (.f64 1/2 (.f64 (pow.f64 re 2) im)))
(fma.f64 -1/12 (.f64 (.f64 re re) (pow.f64 im 3)) (.f64 1/2 (.f64 (*.f64 re re) im)))
(fma.f64 1/2 (.f64 re (.f64 re im)) (.f64 (.f64 re re) (*.f64 -1/12 (pow.f64 im 3))))
(.f64 (.f64 re re) (+.f64 (.f64 1/2 im) (.f64 -1/12 (pow.f64 im 3))))
(.f64 (.f64 re re) (.f64 im (+.f64 (.f64 -1/12 (*.f64 im im)) 1/2)))
(.f64 (.f64 re (.f64 re im)) (+.f64 1/2 (.f64 -1/12 (*.f64 im im))))
(+.f64 (.f64 1/240 (.f64 (pow.f64 re 2) (pow.f64 im 5))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (.f64 1/2 (.f64 (pow.f64 re 2) im))))
(fma.f64 1/240 (.f64 (.f64 re re) (pow.f64 im 5)) (fma.f64 -1/12 (.f64 (.f64 re re) (pow.f64 im 3)) (.f64 1/2 (.f64 (*.f64 re re) im))))
(fma.f64 1/240 (.f64 re (.f64 re (pow.f64 im 5))) (fma.f64 1/2 (.f64 re (.f64 re im)) (.f64 (.f64 re re) (*.f64 -1/12 (pow.f64 im 3)))))
(fma.f64 (.f64 re re) (.f64 1/240 (pow.f64 im 5)) (.f64 (.f64 re re) (+.f64 (.f64 1/2 im) (.f64 -1/12 (pow.f64 im 3)))))
(.f64 (.f64 re re) (+.f64 (.f64 im (+.f64 (.f64 -1/12 (.f64 im im)) 1/2)) (.f64 1/240 (pow.f64 im 5))))
(.f64 (.f64 re re) (+.f64 (.f64 1/2 im) (+.f64 (.f64 1/240 (pow.f64 im 5)) (*.f64 -1/12 (pow.f64 im 3)))))
(+.f64 (.f64 1/240 (.f64 (pow.f64 re 2) (pow.f64 im 5))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (+.f64 (.f64 -1/10080 (.f64 (pow.f64 re 2) (pow.f64 im 7))) (.f64 1/2 (.f64 (pow.f64 re 2) im)))))
(fma.f64 1/240 (.f64 (.f64 re re) (pow.f64 im 5)) (fma.f64 -1/12 (.f64 (.f64 re re) (pow.f64 im 3)) (fma.f64 -1/10080 (.f64 (.f64 re re) (pow.f64 im 7)) (.f64 1/2 (.f64 (*.f64 re re) im)))))
(fma.f64 (.f64 re (.f64 re 1/240)) (pow.f64 im 5) (fma.f64 -1/12 (.f64 re (.f64 re (pow.f64 im 3))) (fma.f64 (.f64 1/2 (.f64 re re)) im (.f64 (.f64 re re) (*.f64 -1/10080 (pow.f64 im 7))))))
(+.f64 (.f64 (.f64 re re) (+.f64 (.f64 1/2 im) (.f64 -1/10080 (pow.f64 im 7)))) (.f64 (.f64 re re) (+.f64 (.f64 -1/12 (pow.f64 im 3)) (.f64 1/240 (pow.f64 im 5)))))
(.f64 (.f64 re re) (+.f64 (+.f64 (.f64 1/2 im) (.f64 -1/10080 (pow.f64 im 7))) (+.f64 (.f64 1/240 (pow.f64 im 5)) (.f64 -1/12 (pow.f64 im 3)))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
(.f64 1/2 (.f64 re (*.f64 re (sin.f64 im))))
(.f64 (.f64 re re) (*.f64 1/2 (sin.f64 im)))
(.f64 re (.f64 (*.f64 1/2 re) (sin.f64 im)))
(.f64 re (.f64 re (*.f64 1/2 (sin.f64 im))))
(*.f64 1/6 im)
(+.f64 (.f64 -1/36 (pow.f64 im 3)) (.f64 1/6 im))
(fma.f64 -1/36 (pow.f64 im 3) (*.f64 1/6 im))
(fma.f64 1/6 im (*.f64 -1/36 (pow.f64 im 3)))
(+.f64 (.f64 -1/36 (pow.f64 im 3)) (+.f64 (.f64 1/720 (pow.f64 im 5)) (*.f64 1/6 im)))
(fma.f64 -1/36 (pow.f64 im 3) (fma.f64 1/720 (pow.f64 im 5) (*.f64 1/6 im)))
(fma.f64 -1/36 (pow.f64 im 3) (fma.f64 1/6 im (*.f64 1/720 (pow.f64 im 5))))
(fma.f64 1/6 im (fma.f64 -1/36 (pow.f64 im 3) (*.f64 1/720 (pow.f64 im 5))))
(fma.f64 1/6 im (fma.f64 1/720 (pow.f64 im 5) (*.f64 -1/36 (pow.f64 im 3))))
(+.f64 (.f64 -1/30240 (pow.f64 im 7)) (+.f64 (.f64 -1/36 (pow.f64 im 3)) (+.f64 (.f64 1/720 (pow.f64 im 5)) (.f64 1/6 im))))
(fma.f64 -1/30240 (pow.f64 im 7) (fma.f64 -1/36 (pow.f64 im 3) (fma.f64 1/720 (pow.f64 im 5) (*.f64 1/6 im))))
(fma.f64 -1/30240 (pow.f64 im 7) (fma.f64 -1/36 (pow.f64 im 3) (fma.f64 1/6 im (*.f64 1/720 (pow.f64 im 5)))))
(fma.f64 -1/36 (pow.f64 im 3) (fma.f64 -1/30240 (pow.f64 im 7) (fma.f64 1/720 (pow.f64 im 5) (*.f64 1/6 im))))
(fma.f64 -1/30240 (pow.f64 im 7) (fma.f64 1/6 im (fma.f64 1/720 (pow.f64 im 5) (*.f64 -1/36 (pow.f64 im 3)))))
(fma.f64 -1/30240 (pow.f64 im 7) (fma.f64 1/6 im (fma.f64 -1/36 (pow.f64 im 3) (*.f64 1/720 (pow.f64 im 5)))))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1 re) im)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(*.f64 (+.f64 1 re) im)
0.0ms	im	@	inf	(*.f64 (+.f64 1 re) im)
0.0ms	re	@	0	(*.f64 (+.f64 1 re) im)
0.0ms	im	@	-inf	(*.f64 (+.f64 1 re) im)
0.0ms	re	@	-inf	(*.f64 (+.f64 1 re) im)

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`pow1_binary64`
560×	`add-log-exp_binary64`
560×	`log1p-expm1-u_binary64`
560×	`expm1-log1p-u_binary64`
549×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	121	7
2	1520	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(*.f64 (+.f64 1 re) im)

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`
3×	`*-lft-identity_binary64`
3×	`*-rgt-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	54
1	11	54
2	16	54
3	22	54
4	28	54
5	41	54
6	45	54
7	47	54

Stop Event

1×

saturated

Counts

31 → 23

Calls

Call 1

Inputs
im
(+.f64 (*.f64 re im) im)
(+.f64 (*.f64 re im) im)
(+.f64 (*.f64 re im) im)
(*.f64 re im)
(+.f64 im (*.f64 re im))
(+.f64 im (*.f64 re im))
(+.f64 im (*.f64 re im))
(*.f64 re im)
(+.f64 im (*.f64 re im))
(+.f64 im (*.f64 re im))
(+.f64 im (*.f64 re im))

Outputs
im
(+.f64 (*.f64 re im) im)
(fma.f64 re im im)
(fma.f64 im re im)
(+.f64 (*.f64 re im) im)
(fma.f64 re im im)
(fma.f64 im re im)
(+.f64 (*.f64 re im) im)
(fma.f64 re im im)
(fma.f64 im re im)
(*.f64 re im)
(*.f64 im re)
(+.f64 im (*.f64 re im))
(fma.f64 re im im)
(fma.f64 im re im)
(+.f64 im (*.f64 re im))
(fma.f64 re im im)
(fma.f64 im re im)
(+.f64 im (*.f64 re im))
(fma.f64 re im im)
(fma.f64 im re im)
(*.f64 re im)
(*.f64 im re)
(+.f64 im (*.f64 re im))
(fma.f64 re im im)
(fma.f64 im re im)
(+.f64 im (*.f64 re im))
(fma.f64 re im im)
(fma.f64 im re im)
(+.f64 im (*.f64 re im))
(fma.f64 re im im)
(fma.f64 im re im)

localize3.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(*.f64 (sin.f64 im) re)

Compiler

Compiled 10 to 4 computations (60% saved)

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (sin.f64 im) (+.f64 re 1))
✓	0.3b	(+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1)))
✓	3.0b	(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)

Compiler

Compiled 34 to 21 computations (38.2% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)
0.0ms	im	@	0	(+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1)))
0.0ms	re	@	0	(+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1)))
0.0ms	re	@	inf	(+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1)))
0.0ms	re	@	-inf	(+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1)))

rewrite91.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`prod-diff_binary64`
568×	`fma-def_binary64`
422×	`log-prod_binary64`
280×	`fma-neg_binary64`
242×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	207	19
2	3058	19

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)
(+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1)))

Outputs

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

simplify133.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1286×	`distribute-rgt-in_binary64`
979×	`fma-def_binary64`
426×	`unswap-sqr_binary64`
383×	`distribute-lft-in_binary64`
375×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	532
1	108	530
2	301	500
3	1092	478
4	3742	478
5	5459	478
6	5921	478
7	6640	478
8	6743	478
9	6883	478
10	7077	478

Stop Event

1×	node limit

Counts

240 → 215

Calls

Call 1

Inputs
(*.f64 (+.f64 1 re) im)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im)))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (+.f64 (.f64 (+.f64 1 re) im) (.f64 -1/5040 (*.f64 (+.f64 1 re) (pow.f64 im 7))))))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 1 re))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
1
(+.f64 1 (*.f64 (+.f64 1 re) im))
(+.f64 1 (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im)))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 1 (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im))))
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (sin.f64 im) 1)
(+.f64 1 (+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re)))
(+.f64 1 (+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re)))
(+.f64 1 (+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re)))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))

Outputs
(*.f64 (+.f64 1 re) im)
(fma.f64 re im im)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im))
(fma.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3)) (.f64 (+.f64 1 re) im))
(fma.f64 (+.f64 1 re) im (.f64 (pow.f64 im 3) (+.f64 -1/6 (.f64 -1/6 re))))
(.f64 (+.f64 1 re) (+.f64 im (.f64 -1/6 (pow.f64 im 3))))
(*.f64 (+.f64 1 re) (fma.f64 -1/6 (pow.f64 im 3) im))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im)))
(fma.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5)) (fma.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3)) (*.f64 (+.f64 1 re) im)))
(fma.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5)) (fma.f64 (+.f64 1 re) im (.f64 (pow.f64 im 3) (+.f64 -1/6 (*.f64 -1/6 re)))))
(fma.f64 (pow.f64 im 3) (fma.f64 re -1/6 -1/6) (fma.f64 (pow.f64 im 5) (fma.f64 re 1/120 1/120) (fma.f64 re im im)))
(.f64 (+.f64 1 re) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (fma.f64 1/120 (pow.f64 im 5) im)))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (+.f64 (.f64 (+.f64 1 re) im) (.f64 -1/5040 (*.f64 (+.f64 1 re) (pow.f64 im 7))))))
(fma.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5)) (fma.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3)) (fma.f64 (+.f64 1 re) im (.f64 -1/5040 (.f64 (+.f64 1 re) (pow.f64 im 7))))))
(fma.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5)) (fma.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3)) (fma.f64 (+.f64 1 re) im (.f64 (.f64 -1/5040 (pow.f64 im 7)) (+.f64 1 re)))))
(fma.f64 (pow.f64 im 3) (fma.f64 re -1/6 -1/6) (fma.f64 (pow.f64 im 5) (fma.f64 re 1/120 1/120) (.f64 (+.f64 1 re) (+.f64 im (.f64 -1/5040 (pow.f64 im 7))))))
(.f64 (+.f64 1 re) (+.f64 (fma.f64 -1/6 (pow.f64 im 3) (.f64 1/120 (pow.f64 im 5))) (fma.f64 -1/5040 (pow.f64 im 7) im)))
(.f64 (+.f64 1 re) (+.f64 (fma.f64 -1/6 (pow.f64 im 3) im) (fma.f64 -1/5040 (pow.f64 im 7) (.f64 1/120 (pow.f64 im 5)))))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) re)
(*.f64 re (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) re)
(*.f64 re (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 1 re) (sin.f64 im))
1
(+.f64 1 (*.f64 (+.f64 1 re) im))
(fma.f64 (+.f64 1 re) im 1)
(+.f64 1 (fma.f64 re im im))
(+.f64 1 (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im)))
(+.f64 1 (fma.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3)) (.f64 (+.f64 1 re) im)))
(+.f64 1 (fma.f64 (+.f64 1 re) im (.f64 (pow.f64 im 3) (+.f64 -1/6 (.f64 -1/6 re)))))
(+.f64 (fma.f64 re im im) (fma.f64 (pow.f64 im 3) (fma.f64 re -1/6 -1/6) 1))
(fma.f64 (+.f64 1 re) (fma.f64 -1/6 (pow.f64 im 3) im) 1)
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 1 (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im))))
(fma.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5)) (+.f64 1 (fma.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3)) (*.f64 (+.f64 1 re) im))))
(+.f64 1 (fma.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5)) (fma.f64 (+.f64 1 re) im (.f64 (pow.f64 im 3) (+.f64 -1/6 (*.f64 -1/6 re))))))
(+.f64 1 (fma.f64 (pow.f64 im 3) (fma.f64 re -1/6 -1/6) (fma.f64 (pow.f64 im 5) (fma.f64 re 1/120 1/120) (fma.f64 re im im))))
(+.f64 1 (.f64 (+.f64 1 re) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (fma.f64 1/120 (pow.f64 im 5) im))))
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (sin.f64 im) 1)
(+.f64 1 (sin.f64 im))
(+.f64 1 (+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 1 (+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 1 (+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(*.f64 (sin.f64 im) re)
(*.f64 re (sin.f64 im))
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(*.f64 (sin.f64 im) re)
(*.f64 re (sin.f64 im))
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)

eval203.0ms (2.8%)

Compiler: Compiled 8473 to 4659 computations (45% saved)

prune240.0ms (3.3%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	426	8	434
Fresh	1	1	2
Picked	0	1	1
Done	3	5	8
Total	430	15	445

Error

0.0b

Counts

445 → 15

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.0b	(/.f64 (*.f64 (fma.f64 re re -1) (sin.f64 im)) (+.f64 re -1))
✓	61.2b	(*.f64 (sin.f64 im) re)
▶	61.4b	(*.f64 re im)
✓	18.8b	(*.f64 (sin.f64 im) (+.f64 re 1))
▶	40.3b	(+.f64 (*.f64 re im) im)
	43.8b	(-.f64 1 1)
	40.1b	im
✓	35.7b	(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)
	57.0b	(-.f64 (+.f64 1 (+.f64 im (*.f64 re im))) 1)
	18.8b	(.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)) (+.f64 re 1)))
▶	18.8b	(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (*.f64 re 1/6)))))))
✓	18.9b	(sin.f64 im)
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	40.5b	(/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re))
✓	21.8b	(*.f64 (exp.f64 re) im)

Compiler

Compiled 234 to 162 computations (30.8% saved)

localize82.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
	0.1b	(*.f64 (sin.f64 im) re)
✓	0.1b	(.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (*.f64 re 1/6))))
✓	0.3b	(*.f64 re 1/6)

Compiler

Compiled 87 to 47 computations (46% saved)

series17.0ms (0.2%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	im	@	inf	(.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (*.f64 re 1/6))))
1.0ms	im	@	0	(.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (*.f64 re 1/6))))
1.0ms	re	@	-inf	(.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (*.f64 re 1/6))))
1.0ms	im	@	0	(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))
1.0ms	re	@	inf	(.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (*.f64 re 1/6))))

rewrite96.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

612×	`log-prod_binary64`
438×	`pow-prod-down_binary64`
318×	`prod-diff_binary64`
306×	`pow2_binary64`
253×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	239	33
2	3148	33

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

Inputs
(*.f64 re 1/6)
(.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (*.f64 re 1/6))))
(.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (.f64 re 1/6)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 re 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) re)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/6) re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) re))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/6) re))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 re 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 re 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 re 1/6) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 re 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 re 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 re 3) 1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 re 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) re))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 re 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 re 3) 1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 re 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 re 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 re 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 re 1/6)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 im) (*.f64 (fma.f64 re 1/6 1/2) re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 im) 1/2) re) (*.f64 (*.f64 1/6 (*.f64 re (sin.f64 im))) re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 re 1/6) (*.f64 re (sin.f64 im))) (*.f64 1/2 (*.f64 re (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 re (sin.f64 im))) (*.f64 (*.f64 re 1/6) (*.f64 re (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 re (*.f64 (sin.f64 im) 1/2)) (*.f64 re (*.f64 1/6 (*.f64 re (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 re (sin.f64 im)) (*.f64 re 1/6)) (*.f64 (*.f64 re (sin.f64 im)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 re (sin.f64 im)) 1/2) (*.f64 (*.f64 re (sin.f64 im)) (*.f64 re 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 re 1/6 1/2)) (*.f64 re (sin.f64 im)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 re 1/6 1/2)) (*.f64 re (sin.f64 im))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 re 1/6 1/2)) (*.f64 re (sin.f64 im))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (fma.f64 re 1/6 1/2)) (*.f64 re (sin.f64 im))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 im) (*.f64 (fma.f64 re 1/6 1/2) re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 re (sin.f64 im)) (fma.f64 (pow.f64 re 3) 1/216 1/8)) (fma.f64 (*.f64 re 1/6) (fma.f64 re 1/6 -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 re (sin.f64 im)) (-.f64 1/4 (pow.f64 (*.f64 re 1/6) 2))) (+.f64 1/2 (*.f64 -1/6 re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 im) (*.f64 (fma.f64 re 1/6 1/2) re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 im) (*.f64 (fma.f64 re 1/6 1/2) re)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 im) (*.f64 (fma.f64 re 1/6 1/2) re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (*.f64 (fma.f64 re 1/6 1/2) re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 im) (*.f64 (fma.f64 re 1/6 1/2) re))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 im) (*.f64 (fma.f64 re 1/6 1/2) re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 re 1/6 1/2)) (*.f64 re (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 im) (*.f64 (fma.f64 re 1/6 1/2) re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (*.f64 (fma.f64 re 1/6 1/2) re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 im) (*.f64 (fma.f64 re 1/6 1/2) re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 im) (*.f64 (fma.f64 re 1/6 1/2) re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 im) (*.f64 (fma.f64 re 1/6 1/2) re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 im) (*.f64 (fma.f64 re 1/6 1/2) re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 re (*.f64 (sin.f64 im) 1/2) (*.f64 re (*.f64 1/6 (*.f64 re (sin.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 re 1/6) (*.f64 re (sin.f64 im)) (*.f64 1/2 (*.f64 re (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (*.f64 re (sin.f64 im)) (*.f64 (*.f64 re 1/6) (*.f64 re (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 im) 1/2) re (*.f64 (*.f64 1/6 (*.f64 re (sin.f64 im))) re))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 re (sin.f64 im)) (*.f64 re 1/6) (*.f64 (*.f64 re (sin.f64 im)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 re (sin.f64 im)) 1/2 (*.f64 (*.f64 re (sin.f64 im)) (*.f64 re 1/6)))))))

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

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

744×	`distribute-lft-in_binary64`
742×	`distribute-rgt-in_binary64`
686×	`associate-+l+_binary64`
640×	`distribute-lft-out_binary64`
587×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	1204
1	203	932
2	693	860
3	3167	818

Stop Event

1×	node limit

Counts

130 → 100

Calls

Call 1

Inputs
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(.f64 1/2 (.f64 (sin.f64 im) re))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/2 (.f64 (sin.f64 im) re)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/2 (.f64 (sin.f64 im) re)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/2 (.f64 (sin.f64 im) re)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/2 (.f64 (sin.f64 im) re)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/2 (.f64 (sin.f64 im) re)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/2 (.f64 (sin.f64 im) re)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/2 (.f64 (sin.f64 im) re)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/2 (.f64 (sin.f64 im) re)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/2 (.f64 (sin.f64 im) re)))
(.f64 re (.f64 im (+.f64 (*.f64 1/6 re) 1/2)))
(+.f64 (.f64 re (.f64 im (+.f64 (.f64 1/6 re) 1/2))) (.f64 -1/6 (.f64 re (.f64 (+.f64 (*.f64 1/6 re) 1/2) (pow.f64 im 3)))))
(+.f64 (.f64 re (.f64 im (+.f64 (.f64 1/6 re) 1/2))) (+.f64 (.f64 1/120 (.f64 re (.f64 (+.f64 (.f64 1/6 re) 1/2) (pow.f64 im 5)))) (.f64 -1/6 (.f64 re (.f64 (+.f64 (*.f64 1/6 re) 1/2) (pow.f64 im 3))))))
(+.f64 (.f64 re (.f64 im (+.f64 (.f64 1/6 re) 1/2))) (+.f64 (.f64 -1/5040 (.f64 re (.f64 (+.f64 (.f64 1/6 re) 1/2) (pow.f64 im 7)))) (+.f64 (.f64 1/120 (.f64 re (.f64 (+.f64 (.f64 1/6 re) 1/2) (pow.f64 im 5)))) (.f64 -1/6 (.f64 re (.f64 (+.f64 (*.f64 1/6 re) 1/2) (pow.f64 im 3)))))))
(.f64 (sin.f64 im) (.f64 re (+.f64 (*.f64 1/6 re) 1/2)))
(.f64 (sin.f64 im) (.f64 re (+.f64 (*.f64 1/6 re) 1/2)))
(.f64 (sin.f64 im) (.f64 re (+.f64 (*.f64 1/6 re) 1/2)))
(.f64 (sin.f64 im) (.f64 re (+.f64 (*.f64 1/6 re) 1/2)))
(.f64 (sin.f64 im) (.f64 re (+.f64 (*.f64 1/6 re) 1/2)))
(.f64 (sin.f64 im) (.f64 re (+.f64 (*.f64 1/6 re) 1/2)))
(.f64 (sin.f64 im) (.f64 re (+.f64 (*.f64 1/6 re) 1/2)))
(.f64 (sin.f64 im) (.f64 re (+.f64 (*.f64 1/6 re) 1/2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))
(.f64 (pow.f64 re 2) (.f64 im (+.f64 (*.f64 1/6 re) 1/2)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 re 2) (.f64 (+.f64 (.f64 1/6 re) 1/2) (pow.f64 im 3)))) (.f64 (pow.f64 re 2) (.f64 im (+.f64 (*.f64 1/6 re) 1/2))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 re 2) (.f64 (+.f64 (.f64 1/6 re) 1/2) (pow.f64 im 3)))) (+.f64 (.f64 (pow.f64 re 2) (.f64 im (+.f64 (.f64 1/6 re) 1/2))) (.f64 1/120 (.f64 (pow.f64 re 2) (.f64 (+.f64 (*.f64 1/6 re) 1/2) (pow.f64 im 5))))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 re 2) (.f64 (+.f64 (.f64 1/6 re) 1/2) (pow.f64 im 3)))) (+.f64 (.f64 (pow.f64 re 2) (.f64 im (+.f64 (.f64 1/6 re) 1/2))) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 re 2) (.f64 (+.f64 (.f64 1/6 re) 1/2) (pow.f64 im 7)))) (.f64 1/120 (.f64 (pow.f64 re 2) (.f64 (+.f64 (*.f64 1/6 re) 1/2) (pow.f64 im 5)))))))
(.f64 (sin.f64 im) (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))
(.f64 (sin.f64 im) (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))
(.f64 (sin.f64 im) (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))
(.f64 (sin.f64 im) (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))
(.f64 (sin.f64 im) (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))
(.f64 (sin.f64 im) (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))
(.f64 (sin.f64 im) (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))
(.f64 (sin.f64 im) (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))

Outputs
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(.f64 1/2 (.f64 (sin.f64 im) re))
(.f64 1/2 (.f64 re (sin.f64 im)))
(.f64 re (.f64 1/2 (sin.f64 im)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/2 (.f64 (sin.f64 im) re)))
(fma.f64 1/6 (.f64 (sin.f64 im) (.f64 re re)) (.f64 1/2 (.f64 re (sin.f64 im))))
(.f64 re (.f64 (sin.f64 im) (fma.f64 1/6 re 1/2)))
(.f64 (sin.f64 im) (.f64 re (fma.f64 1/6 re 1/2)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/2 (.f64 (sin.f64 im) re)))
(fma.f64 1/6 (.f64 (sin.f64 im) (.f64 re re)) (.f64 1/2 (.f64 re (sin.f64 im))))
(.f64 re (.f64 (sin.f64 im) (fma.f64 1/6 re 1/2)))
(.f64 (sin.f64 im) (.f64 re (fma.f64 1/6 re 1/2)))
(+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/2 (.f64 (sin.f64 im) re)))
(fma.f64 1/6 (.f64 (sin.f64 im) (.f64 re re)) (.f64 1/2 (.f64 re (sin.f64 im))))
(.f64 re (.f64 (sin.f64 im) (fma.f64 1/6 re 1/2)))
(.f64 (sin.f64 im) (.f64 re (fma.f64 1/6 re 1/2)))
(.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 2)))
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(.f64 (.f64 re re) (*.f64 (sin.f64 im) (fma.f64 1/6 re 1/2)))
(.f64 (.f64 (sin.f64 im) (*.f64 re re)) (fma.f64 1/6 re 1/2))
(.f64 (sin.f64 im) (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))
(fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 1/2 (.f64 (sin.f64 im) (.f64 re re))))
(.f64 (.f64 re re) (*.f64 (sin.f64 im) (fma.f64 1/6 re 1/2)))
(.f64 (.f64 (sin.f64 im) (*.f64 re re)) (fma.f64 1/6 re 1/2))

localize4.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

localize5.0ms (0.1%)

Compiler: Compiled 12 to 4 computations (66.7% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.6b	(.f64 (-.f64 1 (.f64 re re)) im)
✓	5.9b	(/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re))

Compiler

Compiled 34 to 17 computations (50% saved)

series12.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	re	@	-inf	(/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re))
2.0ms	im	@	0	(/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re))
1.0ms	re	@	0	(/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re))
1.0ms	re	@	inf	(/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re))
1.0ms	im	@	inf	(/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re))

rewrite80.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

515×	`log-prod_binary64`
349×	`prod-diff_binary64`
331×	`pow-prod-down_binary64`
264×	`pow2_binary64`
191×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	200	17
2	2869	17

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re))
(.f64 (-.f64 1 (.f64 re re)) im)

Outputs

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

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

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

950×	`fma-neg_binary64`
349×	`associate-/r/_binary64`
331×	`associate-/l/_binary64`
322×	`associate-l_binary64`
295×	`div-sub_binary64`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	17	496
1	41	475
2	89	475
3	196	475
4	623	475
5	2416	475
6	6200	403

Stop Event

1×	node limit

Counts

142 → 107

Calls

Call 1

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

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

localize28.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.6b	(*.f64 (fma.f64 re re -1) (sin.f64 im))
✓	8.2b	(/.f64 (*.f64 (fma.f64 re re -1) (sin.f64 im)) (+.f64 re -1))

Compiler

Compiled 32 to 17 computations (46.9% saved)

series13.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	im	@	0	(/.f64 (*.f64 (fma.f64 re re -1) (sin.f64 im)) (+.f64 re -1))
2.0ms	im	@	inf	(/.f64 (*.f64 (fma.f64 re re -1) (sin.f64 im)) (+.f64 re -1))
1.0ms	im	@	-inf	(/.f64 (*.f64 (fma.f64 re re -1) (sin.f64 im)) (+.f64 re -1))
1.0ms	re	@	0	(/.f64 (*.f64 (fma.f64 re re -1) (sin.f64 im)) (+.f64 re -1))
1.0ms	re	@	-inf	(/.f64 (*.f64 (fma.f64 re re -1) (sin.f64 im)) (+.f64 re -1))

rewrite83.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`log-prod_binary64`
387×	`exp-prod_binary64`
312×	`pow-prod-down_binary64`
256×	`pow2_binary64`
180×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	191	19
2	2635	19

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(/.f64 (*.f64 (fma.f64 re re -1) (sin.f64 im)) (+.f64 re -1))
(*.f64 (fma.f64 re re -1) (sin.f64 im))

Outputs

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

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

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

925×	`fma-def_binary64`
640×	`associate-l_binary64`
552×	`associate-r_binary64`
383×	`associate-/l*_binary64`
330×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	874
1	142	713
2	422	691
3	1590	565

Stop Event

1×	node limit

Counts

139 → 120

Calls

Call 1

Inputs
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) im) (-.f64 re 1))
(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 re 2) 1) im) (-.f64 re 1)) (.f64 -1/6 (/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 3)) (-.f64 re 1))))
(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 re 2) 1) im) (-.f64 re 1)) (+.f64 (.f64 1/120 (/.f64 (.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 5)) (-.f64 re 1))) (.f64 -1/6 (/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 3)) (-.f64 re 1)))))
(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 re 2) 1) im) (-.f64 re 1)) (+.f64 (.f64 1/120 (/.f64 (.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 5)) (-.f64 re 1))) (+.f64 (.f64 -1/5040 (/.f64 (.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 7)) (-.f64 re 1))) (.f64 -1/6 (/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 3)) (-.f64 re 1))))))
(/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im)) (-.f64 re 1))
(/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im)) (-.f64 re 1))
(/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im)) (-.f64 re 1))
(/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im)) (-.f64 re 1))
(/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im)) (-.f64 re 1))
(/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im)) (-.f64 re 1))
(/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im)) (-.f64 re 1))
(/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im)) (-.f64 re 1))
(*.f64 -1 (sin.f64 im))
(+.f64 (.f64 -1 (sin.f64 im)) (.f64 (sin.f64 im) (pow.f64 re 2)))
(+.f64 (.f64 -1 (sin.f64 im)) (.f64 (sin.f64 im) (pow.f64 re 2)))
(+.f64 (.f64 -1 (sin.f64 im)) (.f64 (sin.f64 im) (pow.f64 re 2)))
(*.f64 (sin.f64 im) (pow.f64 re 2))
(+.f64 (.f64 -1 (sin.f64 im)) (.f64 (sin.f64 im) (pow.f64 re 2)))
(+.f64 (.f64 -1 (sin.f64 im)) (.f64 (sin.f64 im) (pow.f64 re 2)))
(+.f64 (.f64 -1 (sin.f64 im)) (.f64 (sin.f64 im) (pow.f64 re 2)))
(*.f64 (sin.f64 im) (pow.f64 re 2))
(+.f64 (.f64 -1 (sin.f64 im)) (.f64 (sin.f64 im) (pow.f64 re 2)))
(+.f64 (.f64 -1 (sin.f64 im)) (.f64 (sin.f64 im) (pow.f64 re 2)))
(+.f64 (.f64 -1 (sin.f64 im)) (.f64 (sin.f64 im) (pow.f64 re 2)))
(*.f64 (-.f64 (pow.f64 re 2) 1) im)
(+.f64 (.f64 -1/6 (.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 3))) (*.f64 (-.f64 (pow.f64 re 2) 1) im))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 5))) (*.f64 (-.f64 (pow.f64 re 2) 1) im)))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 3))) (+.f64 (.f64 -1/5040 (.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 7))) (+.f64 (.f64 1/120 (.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 5))) (*.f64 (-.f64 (pow.f64 re 2) 1) im))))
(*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im))
(*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im))
(*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im))
(*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im))
(*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im))
(*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im))
(*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im))
(*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im))

Outputs
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 re 1) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 re 1) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 re 1) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 re 1) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 re 1) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 re 1) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 re 1) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 re 1) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (+.f64 re 1) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) im) (-.f64 re 1))
(/.f64 (+.f64 (*.f64 re re) -1) (/.f64 (+.f64 re -1) im))
(/.f64 (fma.f64 re re -1) (/.f64 (+.f64 re -1) im))
(*.f64 im (/.f64 (fma.f64 re re -1) (+.f64 re -1)))
(*.f64 im (/.f64 (+.f64 re 1) 1))
(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 re 2) 1) im) (-.f64 re 1)) (.f64 -1/6 (/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 3)) (-.f64 re 1))))
(+.f64 (/.f64 (+.f64 (.f64 re re) -1) (/.f64 (+.f64 re -1) im)) (.f64 -1/6 (/.f64 (+.f64 (*.f64 re re) -1) (/.f64 (+.f64 re -1) (pow.f64 im 3)))))
(fma.f64 -1/6 (/.f64 (*.f64 (fma.f64 re re -1) (pow.f64 im 3)) (+.f64 re -1)) (/.f64 (fma.f64 re re -1) (/.f64 (+.f64 re -1) im)))
(fma.f64 -1/6 (.f64 (/.f64 (pow.f64 im 3) (+.f64 re -1)) (fma.f64 re re -1)) (.f64 im (/.f64 (fma.f64 re re -1) (+.f64 re -1))))
(*.f64 (/.f64 (+.f64 re 1) 1) (fma.f64 -1/6 (pow.f64 im 3) im))
(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 re 2) 1) im) (-.f64 re 1)) (+.f64 (.f64 1/120 (/.f64 (.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 5)) (-.f64 re 1))) (.f64 -1/6 (/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 3)) (-.f64 re 1)))))
(+.f64 (/.f64 (+.f64 (.f64 re re) -1) (/.f64 (+.f64 re -1) im)) (fma.f64 1/120 (/.f64 (+.f64 (.f64 re re) -1) (/.f64 (+.f64 re -1) (pow.f64 im 5))) (.f64 -1/6 (/.f64 (+.f64 (.f64 re re) -1) (/.f64 (+.f64 re -1) (pow.f64 im 3))))))
(+.f64 (fma.f64 -1/6 (/.f64 (.f64 (fma.f64 re re -1) (pow.f64 im 3)) (+.f64 re -1)) (/.f64 (fma.f64 re re -1) (/.f64 (+.f64 re -1) im))) (.f64 1/120 (/.f64 (fma.f64 re re -1) (/.f64 (+.f64 re -1) (pow.f64 im 5)))))
(fma.f64 -1/6 (.f64 (/.f64 (pow.f64 im 3) (+.f64 re -1)) (fma.f64 re re -1)) (fma.f64 (/.f64 (fma.f64 re re -1) (+.f64 re -1)) im (.f64 (/.f64 (fma.f64 re re -1) (+.f64 re -1)) (*.f64 1/120 (pow.f64 im 5)))))
(fma.f64 (.f64 1/120 (/.f64 (+.f64 re 1) 1)) (pow.f64 im 5) (.f64 (/.f64 (+.f64 re 1) 1) (fma.f64 -1/6 (pow.f64 im 3) im)))
(+.f64 (/.f64 (.f64 (-.f64 (pow.f64 re 2) 1) im) (-.f64 re 1)) (+.f64 (.f64 1/120 (/.f64 (.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 5)) (-.f64 re 1))) (+.f64 (.f64 -1/5040 (/.f64 (.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 7)) (-.f64 re 1))) (.f64 -1/6 (/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 3)) (-.f64 re 1))))))
(+.f64 (/.f64 (+.f64 (.f64 re re) -1) (/.f64 (+.f64 re -1) im)) (fma.f64 1/120 (/.f64 (+.f64 (.f64 re re) -1) (/.f64 (+.f64 re -1) (pow.f64 im 5))) (fma.f64 -1/5040 (/.f64 (+.f64 (.f64 re re) -1) (/.f64 (+.f64 re -1) (pow.f64 im 7))) (.f64 -1/6 (/.f64 (+.f64 (*.f64 re re) -1) (/.f64 (+.f64 re -1) (pow.f64 im 3)))))))
(+.f64 (fma.f64 1/120 (/.f64 (fma.f64 re re -1) (/.f64 (+.f64 re -1) (pow.f64 im 5))) (.f64 -1/5040 (/.f64 (fma.f64 re re -1) (/.f64 (+.f64 re -1) (pow.f64 im 7))))) (fma.f64 -1/6 (/.f64 (.f64 (fma.f64 re re -1) (pow.f64 im 3)) (+.f64 re -1)) (/.f64 (fma.f64 re re -1) (/.f64 (+.f64 re -1) im))))
(fma.f64 1/120 (.f64 (pow.f64 im 5) (/.f64 (fma.f64 re re -1) (+.f64 re -1))) (fma.f64 (/.f64 (fma.f64 re re -1) (+.f64 re -1)) im (fma.f64 -1/6 (.f64 (/.f64 (pow.f64 im 3) (+.f64 re -1)) (fma.f64 re re -1)) (.f64 (/.f64 (fma.f64 re re -1) (+.f64 re -1)) (.f64 -1/5040 (pow.f64 im 7))))))
(+.f64 (.f64 (/.f64 (+.f64 re 1) 1) (fma.f64 -1/6 (pow.f64 im 3) im)) (.f64 (/.f64 (+.f64 re 1) 1) (fma.f64 1/120 (pow.f64 im 5) (*.f64 -1/5040 (pow.f64 im 7)))))
(/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im)) (-.f64 re 1))
(/.f64 (+.f64 (*.f64 re re) -1) (/.f64 (+.f64 re -1) (sin.f64 im)))
(/.f64 (*.f64 (sin.f64 im) (fma.f64 re re -1)) (+.f64 re -1))
(*.f64 (sin.f64 im) (/.f64 (fma.f64 re re -1) (+.f64 re -1)))
(*.f64 (sin.f64 im) (/.f64 (+.f64 re 1) 1))
(/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im)) (-.f64 re 1))
(/.f64 (+.f64 (*.f64 re re) -1) (/.f64 (+.f64 re -1) (sin.f64 im)))
(/.f64 (*.f64 (sin.f64 im) (fma.f64 re re -1)) (+.f64 re -1))
(*.f64 (sin.f64 im) (/.f64 (fma.f64 re re -1) (+.f64 re -1)))
(*.f64 (sin.f64 im) (/.f64 (+.f64 re 1) 1))
(/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im)) (-.f64 re 1))
(/.f64 (+.f64 (*.f64 re re) -1) (/.f64 (+.f64 re -1) (sin.f64 im)))
(/.f64 (*.f64 (sin.f64 im) (fma.f64 re re -1)) (+.f64 re -1))
(*.f64 (sin.f64 im) (/.f64 (fma.f64 re re -1) (+.f64 re -1)))
(*.f64 (sin.f64 im) (/.f64 (+.f64 re 1) 1))
(/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im)) (-.f64 re 1))
(/.f64 (+.f64 (*.f64 re re) -1) (/.f64 (+.f64 re -1) (sin.f64 im)))
(/.f64 (*.f64 (sin.f64 im) (fma.f64 re re -1)) (+.f64 re -1))
(*.f64 (sin.f64 im) (/.f64 (fma.f64 re re -1) (+.f64 re -1)))
(*.f64 (sin.f64 im) (/.f64 (+.f64 re 1) 1))
(/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im)) (-.f64 re 1))
(/.f64 (+.f64 (*.f64 re re) -1) (/.f64 (+.f64 re -1) (sin.f64 im)))
(/.f64 (*.f64 (sin.f64 im) (fma.f64 re re -1)) (+.f64 re -1))
(*.f64 (sin.f64 im) (/.f64 (fma.f64 re re -1) (+.f64 re -1)))
(*.f64 (sin.f64 im) (/.f64 (+.f64 re 1) 1))
(/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im)) (-.f64 re 1))
(/.f64 (+.f64 (*.f64 re re) -1) (/.f64 (+.f64 re -1) (sin.f64 im)))
(/.f64 (*.f64 (sin.f64 im) (fma.f64 re re -1)) (+.f64 re -1))
(*.f64 (sin.f64 im) (/.f64 (fma.f64 re re -1) (+.f64 re -1)))
(*.f64 (sin.f64 im) (/.f64 (+.f64 re 1) 1))
(/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im)) (-.f64 re 1))
(/.f64 (+.f64 (*.f64 re re) -1) (/.f64 (+.f64 re -1) (sin.f64 im)))
(/.f64 (*.f64 (sin.f64 im) (fma.f64 re re -1)) (+.f64 re -1))
(*.f64 (sin.f64 im) (/.f64 (fma.f64 re re -1) (+.f64 re -1)))
(*.f64 (sin.f64 im) (/.f64 (+.f64 re 1) 1))
(/.f64 (*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im)) (-.f64 re 1))
(/.f64 (+.f64 (*.f64 re re) -1) (/.f64 (+.f64 re -1) (sin.f64 im)))
(/.f64 (*.f64 (sin.f64 im) (fma.f64 re re -1)) (+.f64 re -1))
(*.f64 (sin.f64 im) (/.f64 (fma.f64 re re -1) (+.f64 re -1)))
(*.f64 (sin.f64 im) (/.f64 (+.f64 re 1) 1))
(*.f64 -1 (sin.f64 im))
(neg.f64 (sin.f64 im))
(+.f64 (.f64 -1 (sin.f64 im)) (.f64 (sin.f64 im) (pow.f64 re 2)))
(fma.f64 -1 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re re)))
(*.f64 (sin.f64 im) (fma.f64 re re -1))
(+.f64 (.f64 -1 (sin.f64 im)) (.f64 (sin.f64 im) (pow.f64 re 2)))
(fma.f64 -1 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re re)))
(*.f64 (sin.f64 im) (fma.f64 re re -1))
(+.f64 (.f64 -1 (sin.f64 im)) (.f64 (sin.f64 im) (pow.f64 re 2)))
(fma.f64 -1 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re re)))
(*.f64 (sin.f64 im) (fma.f64 re re -1))
(*.f64 (sin.f64 im) (pow.f64 re 2))
(.f64 (sin.f64 im) (.f64 re re))
(+.f64 (.f64 -1 (sin.f64 im)) (.f64 (sin.f64 im) (pow.f64 re 2)))
(fma.f64 -1 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re re)))
(*.f64 (sin.f64 im) (fma.f64 re re -1))
(+.f64 (.f64 -1 (sin.f64 im)) (.f64 (sin.f64 im) (pow.f64 re 2)))
(fma.f64 -1 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re re)))
(*.f64 (sin.f64 im) (fma.f64 re re -1))
(+.f64 (.f64 -1 (sin.f64 im)) (.f64 (sin.f64 im) (pow.f64 re 2)))
(fma.f64 -1 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re re)))
(*.f64 (sin.f64 im) (fma.f64 re re -1))
(*.f64 (sin.f64 im) (pow.f64 re 2))
(.f64 (sin.f64 im) (.f64 re re))
(+.f64 (.f64 -1 (sin.f64 im)) (.f64 (sin.f64 im) (pow.f64 re 2)))
(fma.f64 -1 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re re)))
(*.f64 (sin.f64 im) (fma.f64 re re -1))
(+.f64 (.f64 -1 (sin.f64 im)) (.f64 (sin.f64 im) (pow.f64 re 2)))
(fma.f64 -1 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re re)))
(*.f64 (sin.f64 im) (fma.f64 re re -1))
(+.f64 (.f64 -1 (sin.f64 im)) (.f64 (sin.f64 im) (pow.f64 re 2)))
(fma.f64 -1 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re re)))
(*.f64 (sin.f64 im) (fma.f64 re re -1))
(*.f64 (-.f64 (pow.f64 re 2) 1) im)
(.f64 im (+.f64 (.f64 re re) -1))
(*.f64 im (fma.f64 re re -1))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 3))) (*.f64 (-.f64 (pow.f64 re 2) 1) im))
(fma.f64 -1/6 (.f64 (+.f64 (.f64 re re) -1) (pow.f64 im 3)) (.f64 im (+.f64 (.f64 re re) -1)))
(fma.f64 im (fma.f64 re re -1) (.f64 (fma.f64 re re -1) (.f64 (pow.f64 im 3) -1/6)))
(.f64 (fma.f64 re re -1) (+.f64 im (.f64 -1/6 (pow.f64 im 3))))
(*.f64 (fma.f64 re re -1) (fma.f64 -1/6 (pow.f64 im 3) im))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 5))) (*.f64 (-.f64 (pow.f64 re 2) 1) im)))
(fma.f64 -1/6 (.f64 (+.f64 (.f64 re re) -1) (pow.f64 im 3)) (fma.f64 1/120 (.f64 (+.f64 (.f64 re re) -1) (pow.f64 im 5)) (.f64 im (+.f64 (.f64 re re) -1))))
(fma.f64 -1/6 (.f64 (fma.f64 re re -1) (pow.f64 im 3)) (fma.f64 im (fma.f64 re re -1) (.f64 (fma.f64 re re -1) (*.f64 (pow.f64 im 5) 1/120))))
(fma.f64 im (fma.f64 re re -1) (.f64 (fma.f64 re re -1) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (*.f64 1/120 (pow.f64 im 5)))))
(.f64 (fma.f64 re re -1) (+.f64 im (fma.f64 1/120 (pow.f64 im 5) (.f64 -1/6 (pow.f64 im 3)))))
(+.f64 (.f64 -1/6 (.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 3))) (+.f64 (.f64 -1/5040 (.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 7))) (+.f64 (.f64 1/120 (.f64 (-.f64 (pow.f64 re 2) 1) (pow.f64 im 5))) (*.f64 (-.f64 (pow.f64 re 2) 1) im))))
(fma.f64 -1/6 (.f64 (+.f64 (.f64 re re) -1) (pow.f64 im 3)) (fma.f64 -1/5040 (.f64 (+.f64 (.f64 re re) -1) (pow.f64 im 7)) (fma.f64 1/120 (.f64 (+.f64 (.f64 re re) -1) (pow.f64 im 5)) (.f64 im (+.f64 (.f64 re re) -1)))))
(fma.f64 -1/6 (.f64 (fma.f64 re re -1) (pow.f64 im 3)) (fma.f64 -1/5040 (.f64 (fma.f64 re re -1) (pow.f64 im 7)) (fma.f64 im (fma.f64 re re -1) (.f64 (fma.f64 re re -1) (.f64 (pow.f64 im 5) 1/120)))))
(+.f64 (.f64 (fma.f64 re re -1) (+.f64 im (.f64 -1/6 (pow.f64 im 3)))) (.f64 (fma.f64 re re -1) (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/5040 (pow.f64 im 7)))))
(.f64 (fma.f64 re re -1) (+.f64 (fma.f64 -1/6 (pow.f64 im 3) im) (fma.f64 1/120 (pow.f64 im 5) (.f64 -1/5040 (pow.f64 im 7)))))
(*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im))
(fma.f64 -1 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re re)))
(*.f64 (sin.f64 im) (fma.f64 re re -1))
(*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im))
(fma.f64 -1 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re re)))
(*.f64 (sin.f64 im) (fma.f64 re re -1))
(*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im))
(fma.f64 -1 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re re)))
(*.f64 (sin.f64 im) (fma.f64 re re -1))
(*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im))
(fma.f64 -1 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re re)))
(*.f64 (sin.f64 im) (fma.f64 re re -1))
(*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im))
(fma.f64 -1 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re re)))
(*.f64 (sin.f64 im) (fma.f64 re re -1))
(*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im))
(fma.f64 -1 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re re)))
(*.f64 (sin.f64 im) (fma.f64 re re -1))
(*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im))
(fma.f64 -1 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re re)))
(*.f64 (sin.f64 im) (fma.f64 re re -1))
(*.f64 (-.f64 (pow.f64 re 2) 1) (sin.f64 im))
(fma.f64 -1 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re re)))
(*.f64 (sin.f64 im) (fma.f64 re re -1))

eval210.0ms (2.9%)

Compiler: Compiled 6513 to 3770 computations (42.1% saved)

prune107.0ms (1.5%)

Pruning

19 alts after pruning (9 fresh and 10 done)

	Pruned	Kept	Total
New	348	6	354
Fresh	1	3	4
Picked	1	0	1
Done	0	10	10
Total	350	19	369

Error

0.0b

Counts

369 → 19

Alt Table

Click to see full alt table

Status	Error	Program
	39.9b	(.f64 (-.f64 1 (.f64 re re)) (/.f64 1 (/.f64 (-.f64 1 re) im)))
✓	61.2b	(*.f64 (sin.f64 im) re)
	18.8b	(.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)) (+.f64 re 1)))
	12.3b	(/.f64 (neg.f64 (sin.f64 im)) (+.f64 re -1))
✓	61.4b	(*.f64 re im)
✓	18.8b	(*.f64 (sin.f64 im) (+.f64 re 1))
✓	40.3b	(+.f64 (*.f64 re im) im)
	43.8b	(-.f64 1 1)
	40.1b	im
	40.5b	(.f64 (/.f64 1 (-.f64 1 re)) (.f64 (-.f64 1 (*.f64 re re)) im))
✓	18.9b	(sin.f64 im)
	61.7b	(/.f64 (.f64 re (.f64 im (neg.f64 re))) (-.f64 1 re))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	35.7b	(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)
	57.0b	(-.f64 (+.f64 1 (+.f64 im (*.f64 re im))) 1)
✓	21.8b	(*.f64 (exp.f64 re) im)
	61.9b	(/.f64 (.f64 (sin.f64 im) (.f64 re re)) (+.f64 re -1))
✓	18.8b	(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (*.f64 re 1/6)))))))
✓	40.5b	(/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re))

Compiler

Compiled 190 to 134 computations (29.5% saved)

regimes403.0ms (5.6%)

Counts

27 → 1

Calls

Call 1

Inputs
im
im
(*.f64 re im)
(-.f64 1 1)
(+.f64 (*.f64 re im) im)
(*.f64 (+.f64 1 re) im)
(-.f64 (+.f64 1 (+.f64 im (*.f64 re im))) 1)
(/.f64 (.f64 re (.f64 im (neg.f64 re))) (-.f64 1 re))
(/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re))
(.f64 (-.f64 1 (.f64 re re)) (/.f64 1 (/.f64 (-.f64 1 re) im)))
(.f64 (/.f64 1 (-.f64 1 re)) (.f64 (-.f64 1 (*.f64 re re)) im))
(exp.f64 re)
(sin.f64 im)
(*.f64 (sin.f64 im) re)
(*.f64 (exp.f64 re) im)
(*.f64 (sin.f64 im) (+.f64 re 1))
(/.f64 (neg.f64 (sin.f64 im)) (+.f64 re -1))
(/.f64 (.f64 (sin.f64 im) (.f64 re re)) (+.f64 re -1))
(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)
(.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)) (+.f64 re 1)))
(*.f64 (exp.f64 re) (sin.f64 im))
(/.f64 (*.f64 (fma.f64 re re -1) (sin.f64 im)) (+.f64 re -1))
(/.f64 (*.f64 (fma.f64 re re -1) (sin.f64 im)) (+.f64 re -1))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 1/2 (*.f64 re 1/6)))))))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (fma.f64 (.f64 (.f64 1/6 (sin.f64 im)) (.f64 re re)) re (.f64 (sin.f64 im) (.f64 (*.f64 re re) 1/2)))))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))

Calls

5 calls:

146.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
44.0ms	(sin.f64 im)
39.0ms	re
28.0ms	im
6.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.0b	1	`re`
0.0b	1	`im`
0.0b	1	`(*.f64 (exp.f64 re) (sin.f64 im))`
0.0b	1	`(exp.f64 re)`
0.0b	1	`(sin.f64 im)`

Compiler

Compiled 262 to 137 computations (47.7% saved)

regimes304.0ms (4.2%)

Counts

20 → 2

Calls

Call 1

Inputs
im
im
(*.f64 re im)
(-.f64 1 1)
(+.f64 (*.f64 re im) im)
(*.f64 (+.f64 1 re) im)
(-.f64 (+.f64 1 (+.f64 im (*.f64 re im))) 1)
(/.f64 (.f64 re (.f64 im (neg.f64 re))) (-.f64 1 re))
(/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re))
(.f64 (-.f64 1 (.f64 re re)) (/.f64 1 (/.f64 (-.f64 1 re) im)))
(.f64 (/.f64 1 (-.f64 1 re)) (.f64 (-.f64 1 (*.f64 re re)) im))
(exp.f64 re)
(sin.f64 im)
(*.f64 (sin.f64 im) re)
(*.f64 (exp.f64 re) im)
(*.f64 (sin.f64 im) (+.f64 re 1))
(/.f64 (neg.f64 (sin.f64 im)) (+.f64 re -1))
(/.f64 (.f64 (sin.f64 im) (.f64 re re)) (+.f64 re -1))
(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)
(.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)) (+.f64 re 1)))

Outputs
(*.f64 (exp.f64 re) im)
(.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)) (+.f64 re 1)))

Calls

6 calls:

79.0ms	im
73.0ms	(sin.f64 im)
68.0ms	(sin.f64 im)
57.0ms	re
9.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.4b	2	`re`
8.0b	3	`im`
0.4b	2	`(exp.f64 re)`
0.4b	2	`(exp.f64 re)`
8.2b	3	`(sin.f64 im)`
8.2b	3	`(sin.f64 im)`

Compiler

Compiled 159 to 91 computations (42.8% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9989303839059069	0.9999890527704973

Compiler

Compiled 12 to 9 computations (25% saved)

regimes325.0ms (4.5%)

Counts

19 → 2

Calls

Call 1

Inputs
im
im
(*.f64 re im)
(-.f64 1 1)
(+.f64 (*.f64 re im) im)
(*.f64 (+.f64 1 re) im)
(-.f64 (+.f64 1 (+.f64 im (*.f64 re im))) 1)
(/.f64 (.f64 re (.f64 im (neg.f64 re))) (-.f64 1 re))
(/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re))
(.f64 (-.f64 1 (.f64 re re)) (/.f64 1 (/.f64 (-.f64 1 re) im)))
(.f64 (/.f64 1 (-.f64 1 re)) (.f64 (-.f64 1 (*.f64 re re)) im))
(exp.f64 re)
(sin.f64 im)
(*.f64 (sin.f64 im) re)
(*.f64 (exp.f64 re) im)
(*.f64 (sin.f64 im) (+.f64 re 1))
(/.f64 (neg.f64 (sin.f64 im)) (+.f64 re -1))
(/.f64 (.f64 (sin.f64 im) (.f64 re re)) (+.f64 re -1))
(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)

Outputs
(*.f64 (exp.f64 re) im)
(*.f64 (sin.f64 im) (+.f64 re 1))

Calls

6 calls:

206.0ms	(sin.f64 im)
43.0ms	im
39.0ms	(sin.f64 im)
20.0ms	re
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.6b	2	`re`
8.0b	3	`im`
0.6b	2	`(exp.f64 re)`
0.6b	2	`(exp.f64 re)`
8.2b	3	`(sin.f64 im)`
8.2b	3	`(sin.f64 im)`

Compiler

Compiled 143 to 82 computations (42.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999890527704973	0.9999928970388681

Compiler

Compiled 12 to 9 computations (25% saved)

regimes258.0ms (3.6%)

Counts

15 → 2

Calls

Call 1

Inputs
im
im
(*.f64 re im)
(-.f64 1 1)
(+.f64 (*.f64 re im) im)
(*.f64 (+.f64 1 re) im)
(-.f64 (+.f64 1 (+.f64 im (*.f64 re im))) 1)
(/.f64 (.f64 re (.f64 im (neg.f64 re))) (-.f64 1 re))
(/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re))
(.f64 (-.f64 1 (.f64 re re)) (/.f64 1 (/.f64 (-.f64 1 re) im)))
(.f64 (/.f64 1 (-.f64 1 re)) (.f64 (-.f64 1 (*.f64 re re)) im))
(exp.f64 re)
(sin.f64 im)
(*.f64 (sin.f64 im) re)
(*.f64 (exp.f64 re) im)

Outputs
(*.f64 (exp.f64 re) im)
(sin.f64 im)

Calls

5 calls:

78.0ms	(sin.f64 im)
59.0ms	(sin.f64 im)
44.0ms	im
39.0ms	(exp.f64 re)
33.0ms	re

Results

Error	Segments	Branch
1.0b	2	`re`
8.6b	3	`im`
1.0b	2	`(exp.f64 re)`
8.8b	3	`(sin.f64 im)`
8.8b	3	`(sin.f64 im)`

Compiler

Compiled 106 to 61 computations (42.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999890527704973	0.9999928970388681

Compiler

Compiled 12 to 9 computations (25% saved)

regimes79.0ms (1.1%)

Counts

14 → 2

Calls

Call 1

Inputs
im
im
(*.f64 re im)
(-.f64 1 1)
(+.f64 (*.f64 re im) im)
(*.f64 (+.f64 1 re) im)
(-.f64 (+.f64 1 (+.f64 im (*.f64 re im))) 1)
(/.f64 (.f64 re (.f64 im (neg.f64 re))) (-.f64 1 re))
(/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re))
(.f64 (-.f64 1 (.f64 re re)) (/.f64 1 (/.f64 (-.f64 1 re) im)))
(.f64 (/.f64 1 (-.f64 1 re)) (.f64 (-.f64 1 (*.f64 re re)) im))
(exp.f64 re)
(sin.f64 im)
(*.f64 (sin.f64 im) re)

Outputs
(-.f64 1 1)
(sin.f64 im)

Calls

4 calls:

31.0ms	re
16.0ms	(sin.f64 im)
15.0ms	im
11.0ms	(exp.f64 re)

Results

Error	Segments	Branch
1.5b	2	`re`
18.9b	1	`im`
1.5b	2	`(exp.f64 re)`
18.9b	1	`(sin.f64 im)`

Compiler

Compiled 98 to 57 computations (41.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	5.629325515064588e-25

Compiler

Compiled 12 to 9 computations (25% saved)

regimes101.0ms (1.4%)

Counts

12 → 2

Calls

Call 1

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

Outputs
(-.f64 1 1)
(/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re))

Calls

4 calls:

49.0ms	im
28.0ms	re
8.0ms	(exp.f64 re)
8.0ms	(exp.f64 re)

Results

Error	Segments	Branch
22.5b	2	`re`
29.9b	3	`im`
22.5b	2	`(exp.f64 re)`
22.5b	2	`(exp.f64 re)`

Compiler

Compiled 92 to 55 computations (40.2% saved)

bsearch72.0ms (1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
72.0ms	-55.836637691818716	-0.0010701885416231987

Compiler

Compiled 12 to 9 computations (25% saved)

regimes57.0ms (0.8%)

Counts

8 → 2

Calls

Call 1

Inputs
im
im
(*.f64 re im)
(-.f64 1 1)
(+.f64 (*.f64 re im) im)
(*.f64 (+.f64 1 re) im)
(-.f64 (+.f64 1 (+.f64 im (*.f64 re im))) 1)
(/.f64 (.f64 re (.f64 im (neg.f64 re))) (-.f64 1 re))

Outputs
(-.f64 1 1)
(+.f64 (*.f64 re im) im)

Calls

2 calls:

31.0ms	im
22.0ms	re

Results

Error	Segments	Branch
22.5b	2	`re`
31.8b	3	`im`

Compiler

Compiled 45 to 25 computations (44.4% saved)

bsearch75.0ms (1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
75.0ms	-55.836637691818716	-0.0010701885416231987

Compiler

Compiled 12 to 9 computations (25% saved)

regimes157.0ms (2.2%)

Counts

4 → 2

Calls

Call 1

Inputs
im
im
(*.f64 re im)
(-.f64 1 1)

Outputs
(-.f64 1 1)
im

Calls

2 calls:

140.0ms	im
15.0ms	re

Results

Error	Segments	Branch
22.6b	2	`re`
31.8b	3	`im`

Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch45.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
45.0ms	-8.581196446704132e+19	-55.836637691818716

Compiler

Compiled 12 to 9 computations (25% saved)

regimes16.0ms (0.2%)

Accuracy

Total -21.7b remaining (-54%)

Threshold costs -21.7b (-54%)

Counts

3 → 1

Calls

Call 1

Inputs
im
im
(*.f64 re im)

Outputs
im

Calls

2 calls:

8.0ms	im
6.0ms	re

Results

Error	Segments	Branch
40.1b	1	`re`
40.1b	1	`im`

Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	144
1	62	144
2	70	144
3	74	144
4	76	144

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 8998192055486251/9007199254740992) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (*.f64 re 1/6) 1/2)) (+.f64 re 1))))
(if (<=.f64 (exp.f64 re) 9007109182748445/9007199254740992) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 9007109182748445/9007199254740992) (*.f64 (exp.f64 re) im) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (sin.f64 im))
(if (<=.f64 re -7858308146953005/140737488355328) (-.f64 1 1) (/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re)))
(if (<=.f64 re -7858308146953005/140737488355328) (-.f64 1 1) (+.f64 (*.f64 re im) im))
(if (<=.f64 re -85811964467041320960) (-.f64 1 1) im)
im

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 8998192055486251/9007199254740992) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (*.f64 re 1/6) 1/2)) (+.f64 re 1))))
(if (<=.f64 (exp.f64 re) 9007109182748445/9007199254740992) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 9007109182748445/9007199254740992) (*.f64 (exp.f64 re) im) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 0) 0 (sin.f64 im))
(if (<=.f64 re -7858308146953005/140737488355328) (-.f64 1 1) (/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re)))
(if (<=.f64 re -7858308146953005/140737488355328) 0 (/.f64 (.f64 im (-.f64 1 (.f64 re re))) (-.f64 1 re)))
(if (<=.f64 re -7858308146953005/140737488355328) (-.f64 1 1) (+.f64 (*.f64 re im) im))
(if (<=.f64 re -7858308146953005/140737488355328) 0 (+.f64 im (*.f64 re im)))
(if (<=.f64 re -85811964467041320960) (-.f64 1 1) im)
(if (<=.f64 re -85811964467041320960) 0 im)
im

Compiler

Compiled 115 to 79 computations (31.3% saved)

soundness0.0ms (0%)

end115.0ms (1.6%)

Compiler: Compiled 99 to 52 computations (47.5% saved)