Details

analyze105.0ms (1.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
74.9%	21.9%	3.2%	6
74.9%	20.3%	4.8%	7
74.9%	18%	7.1%	8
74.9%	16.8%	8.3%	9
74.9%	15.4%	9.7%	10
74.9%	14.7%	10.3%	11
74.9%	14%	11.1%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.9s (28.6%)

Results

778.0ms	6174×	body	256	valid
573.0ms	1392×	body	1024	valid
224.0ms	685×	body	1024	invalid
167.0ms	685×	body	512	valid
87.0ms	508×	body	256	invalid
74.0ms	325×	body	512	invalid
3.0ms	5×	body	2048	valid

preprocess15.0ms (0.2%)

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)

localize9.0ms (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	re	@	-inf	(*.f64 (exp.f64 re) (sin.f64 im))
0.0ms	im	@	inf	(*.f64 (exp.f64 re) (sin.f64 im))

rewrite39.0ms (0.6%)

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))))))))

simplify106.0ms (1.6%)

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)

prune9.0ms (0.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	21	6	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	7	28

Error

0.0b

Counts

28 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	21.6b	(+.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))))))
▶	21.7b	(fma.f64 (sin.f64 im) (fma.f64 re (*.f64 re 1/2) re) (sin.f64 im))
▶	21.6b	(*.f64 (sin.f64 im) (+.f64 re 1))
▶	21.6b	(sin.f64 im)
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	0.1b	(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
▶	19.9b	(*.f64 (exp.f64 re) im)

Compiler

Compiled 141 to 93 computations (34% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	0.1b	(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
✓	0.1b	(expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

Compiler

Compiled 26 to 7 computations (73.1% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	re	@	0	(expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
1.0ms	im	@	0	(expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
1.0ms	im	@	-inf	(expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
0.0ms	re	@	inf	(expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
0.0ms	re	@	-inf	(expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`pow1_binary64`
559×	`expm1-log1p-u_binary64`
558×	`add-log-exp_binary64`
558×	`log1p-expm1-u_binary64`
544×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	135	18
2	1534	18

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

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

Outputs

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

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

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

682×	`distribute-rgt-out_binary64`
682×	`fma-def_binary64`
605×	`distribute-lft-out_binary64`
422×	`associate-l_binary64`
394×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	748
1	283	735
2	882	692
3	4222	671

Stop Event

1×	node limit

Counts

91 → 74

Calls

Call 1

Inputs
(-.f64 (exp.f64 (sin.f64 im)) 1)
(-.f64 (+.f64 (.f64 (exp.f64 (sin.f64 im)) (.f64 (sin.f64 im) re)) (exp.f64 (sin.f64 im))) 1)
(-.f64 (+.f64 (.f64 (exp.f64 (sin.f64 im)) (.f64 (sin.f64 im) re)) (+.f64 (exp.f64 (sin.f64 im)) (.f64 (exp.f64 (sin.f64 im)) (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/2 (pow.f64 (sin.f64 im) 2))))))) 1)
(-.f64 (+.f64 (.f64 (exp.f64 (sin.f64 im)) (.f64 (sin.f64 im) re)) (+.f64 (exp.f64 (sin.f64 im)) (+.f64 (.f64 (exp.f64 (sin.f64 im)) (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/2 (pow.f64 (sin.f64 im) 2))))) (.f64 (exp.f64 (sin.f64 im)) (.f64 (pow.f64 re 3) (+.f64 (.f64 1/6 (sin.f64 im)) (+.f64 (.f64 1/2 (pow.f64 (sin.f64 im) 2)) (*.f64 1/6 (pow.f64 (sin.f64 im) 3))))))))) 1)
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(*.f64 (exp.f64 re) im)
(+.f64 (.f64 (exp.f64 re) im) (.f64 1/2 (*.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 im 2))))
(+.f64 (.f64 (exp.f64 re) im) (+.f64 (.f64 1/2 (.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 im 2))) (.f64 (+.f64 (.f64 -1/6 (exp.f64 re)) (.f64 1/6 (pow.f64 (exp.f64 re) 3))) (pow.f64 im 3))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (exp.f64 re) 2)) (.f64 1/24 (pow.f64 (exp.f64 re) 4))) (pow.f64 im 4)) (+.f64 (.f64 (exp.f64 re) im) (+.f64 (.f64 1/2 (.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 im 2))) (.f64 (+.f64 (.f64 -1/6 (exp.f64 re)) (*.f64 1/6 (pow.f64 (exp.f64 re) 3))) (pow.f64 im 3)))))
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(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
(-.f64 (exp.f64 (sin.f64 im)) 1)
(expm1.f64 (sin.f64 im))
(-.f64 (+.f64 (.f64 (exp.f64 (sin.f64 im)) (.f64 (sin.f64 im) re)) (exp.f64 (sin.f64 im))) 1)
(+.f64 (.f64 (exp.f64 (sin.f64 im)) (.f64 (sin.f64 im) re)) (expm1.f64 (sin.f64 im)))
(fma.f64 (exp.f64 (sin.f64 im)) (*.f64 (sin.f64 im) re) (expm1.f64 (sin.f64 im)))
(fma.f64 (fma.f64 (sin.f64 im) re 1) (exp.f64 (sin.f64 im)) -1)
(fma.f64 (exp.f64 (sin.f64 im)) (fma.f64 (sin.f64 im) re 1) -1)
(-.f64 (+.f64 (.f64 (exp.f64 (sin.f64 im)) (.f64 (sin.f64 im) re)) (+.f64 (exp.f64 (sin.f64 im)) (.f64 (exp.f64 (sin.f64 im)) (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/2 (pow.f64 (sin.f64 im) 2))))))) 1)
(+.f64 (+.f64 (fma.f64 (exp.f64 (sin.f64 im)) (.f64 (sin.f64 im) re) (exp.f64 (sin.f64 im))) (.f64 (.f64 (exp.f64 (sin.f64 im)) (.f64 re re)) (*.f64 1/2 (+.f64 (sin.f64 im) (pow.f64 (sin.f64 im) 2))))) -1)
(+.f64 (fma.f64 (exp.f64 (sin.f64 im)) (.f64 (sin.f64 im) re) (.f64 (+.f64 (.f64 (.f64 re re) (*.f64 1/2 (+.f64 (sin.f64 im) (pow.f64 (sin.f64 im) 2)))) 1) (exp.f64 (sin.f64 im)))) -1)
(+.f64 (.f64 (exp.f64 (sin.f64 im)) (+.f64 (.f64 (sin.f64 im) re) (fma.f64 (.f64 re re) (.f64 1/2 (+.f64 (sin.f64 im) (pow.f64 (sin.f64 im) 2))) 1))) -1)
(+.f64 (expm1.f64 (sin.f64 im)) (.f64 (exp.f64 (sin.f64 im)) (.f64 (sin.f64 im) (+.f64 re (.f64 (.f64 re (*.f64 re 1/2)) (+.f64 (sin.f64 im) 1))))))
(-.f64 (+.f64 (.f64 (exp.f64 (sin.f64 im)) (.f64 (sin.f64 im) re)) (+.f64 (exp.f64 (sin.f64 im)) (+.f64 (.f64 (exp.f64 (sin.f64 im)) (.f64 (pow.f64 re 2) (+.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/2 (pow.f64 (sin.f64 im) 2))))) (.f64 (exp.f64 (sin.f64 im)) (.f64 (pow.f64 re 3) (+.f64 (.f64 1/6 (sin.f64 im)) (+.f64 (.f64 1/2 (pow.f64 (sin.f64 im) 2)) (*.f64 1/6 (pow.f64 (sin.f64 im) 3))))))))) 1)
(+.f64 (+.f64 (fma.f64 (exp.f64 (sin.f64 im)) (.f64 (sin.f64 im) re) (exp.f64 (sin.f64 im))) (.f64 (exp.f64 (sin.f64 im)) (+.f64 (.f64 (.f64 re re) (.f64 1/2 (+.f64 (sin.f64 im) (pow.f64 (sin.f64 im) 2)))) (.f64 (pow.f64 re 3) (fma.f64 1/6 (sin.f64 im) (fma.f64 1/2 (pow.f64 (sin.f64 im) 2) (*.f64 1/6 (pow.f64 (sin.f64 im) 3)))))))) -1)
(fma.f64 (exp.f64 (sin.f64 im)) (.f64 (sin.f64 im) re) (+.f64 (.f64 (exp.f64 (sin.f64 im)) (fma.f64 (.f64 re re) (.f64 1/2 (+.f64 (sin.f64 im) (pow.f64 (sin.f64 im) 2))) (.f64 (pow.f64 re 3) (fma.f64 (sin.f64 im) 1/6 (fma.f64 1/2 (pow.f64 (sin.f64 im) 2) (.f64 1/6 (pow.f64 (sin.f64 im) 3))))))) (expm1.f64 (sin.f64 im))))
(+.f64 (.f64 (exp.f64 (sin.f64 im)) (+.f64 (fma.f64 (sin.f64 im) re 1) (.f64 (.f64 re re) (+.f64 (.f64 1/2 (+.f64 (sin.f64 im) (pow.f64 (sin.f64 im) 2))) (.f64 re (fma.f64 1/2 (pow.f64 (sin.f64 im) 2) (.f64 1/6 (+.f64 (sin.f64 im) (pow.f64 (sin.f64 im) 3))))))))) -1)
(fma.f64 (exp.f64 (sin.f64 im)) (+.f64 (.f64 re (.f64 re (+.f64 (.f64 1/2 (+.f64 (sin.f64 im) (pow.f64 (sin.f64 im) 2))) (.f64 re (.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) (+.f64 1/2 (*.f64 (sin.f64 im) 1/6))) 1/6)))))) (fma.f64 (sin.f64 im) re 1)) -1)
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(*.f64 (exp.f64 re) im)
(*.f64 im (exp.f64 re))
(+.f64 (.f64 (exp.f64 re) im) (.f64 1/2 (*.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 im 2))))
(fma.f64 (exp.f64 re) im (.f64 1/2 (.f64 (pow.f64 (exp.f64 re) 2) (*.f64 im im))))
(fma.f64 im (exp.f64 re) (.f64 1/2 (.f64 im (*.f64 im (pow.f64 (exp.f64 re) 2)))))
(.f64 im (+.f64 (exp.f64 re) (.f64 im (*.f64 1/2 (pow.f64 (exp.f64 re) 2)))))
(.f64 (exp.f64 re) (+.f64 im (.f64 (.f64 im (.f64 im 1/2)) (exp.f64 re))))
(+.f64 (.f64 (exp.f64 re) im) (+.f64 (.f64 1/2 (.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 im 2))) (.f64 (+.f64 (.f64 -1/6 (exp.f64 re)) (.f64 1/6 (pow.f64 (exp.f64 re) 3))) (pow.f64 im 3))))
(fma.f64 (exp.f64 re) im (fma.f64 1/2 (.f64 (pow.f64 (exp.f64 re) 2) (.f64 im im)) (.f64 (fma.f64 -1/6 (exp.f64 re) (.f64 1/6 (pow.f64 (exp.f64 re) 3))) (pow.f64 im 3))))
(fma.f64 im (exp.f64 re) (fma.f64 1/2 (.f64 im (.f64 im (pow.f64 (exp.f64 re) 2))) (.f64 (fma.f64 1/6 (pow.f64 (exp.f64 re) 3) (.f64 (exp.f64 re) -1/6)) (pow.f64 im 3))))
(fma.f64 im (exp.f64 re) (.f64 (.f64 im im) (+.f64 (.f64 1/2 (pow.f64 (exp.f64 re) 2)) (.f64 im (fma.f64 1/6 (pow.f64 (exp.f64 re) 3) (*.f64 (exp.f64 re) -1/6))))))
(.f64 im (+.f64 (exp.f64 re) (.f64 im (+.f64 (.f64 1/2 (pow.f64 (exp.f64 re) 2)) (.f64 im (fma.f64 1/6 (exp.f64 (.f64 3 re)) (.f64 (exp.f64 re) -1/6)))))))
(+.f64 (.f64 (+.f64 (.f64 -1/6 (pow.f64 (exp.f64 re) 2)) (.f64 1/24 (pow.f64 (exp.f64 re) 4))) (pow.f64 im 4)) (+.f64 (.f64 (exp.f64 re) im) (+.f64 (.f64 1/2 (.f64 (pow.f64 (exp.f64 re) 2) (pow.f64 im 2))) (.f64 (+.f64 (.f64 -1/6 (exp.f64 re)) (*.f64 1/6 (pow.f64 (exp.f64 re) 3))) (pow.f64 im 3)))))
(fma.f64 (fma.f64 -1/6 (pow.f64 (exp.f64 re) 2) (.f64 1/24 (pow.f64 (exp.f64 re) 4))) (pow.f64 im 4) (fma.f64 (exp.f64 re) im (fma.f64 1/2 (.f64 (pow.f64 (exp.f64 re) 2) (.f64 im im)) (.f64 (fma.f64 -1/6 (exp.f64 re) (*.f64 1/6 (pow.f64 (exp.f64 re) 3))) (pow.f64 im 3)))))
(fma.f64 (fma.f64 (pow.f64 (exp.f64 re) 2) -1/6 (.f64 1/24 (pow.f64 (exp.f64 re) 4))) (pow.f64 im 4) (fma.f64 im (exp.f64 re) (fma.f64 1/2 (.f64 im (.f64 im (pow.f64 (exp.f64 re) 2))) (.f64 (fma.f64 1/6 (pow.f64 (exp.f64 re) 3) (*.f64 (exp.f64 re) -1/6)) (pow.f64 im 3)))))
(fma.f64 im (exp.f64 re) (fma.f64 (fma.f64 (pow.f64 (exp.f64 re) 2) -1/6 (.f64 1/24 (pow.f64 (exp.f64 re) 4))) (pow.f64 im 4) (.f64 (.f64 im im) (+.f64 (.f64 1/2 (pow.f64 (exp.f64 re) 2)) (.f64 im (fma.f64 1/6 (pow.f64 (exp.f64 re) 3) (.f64 (exp.f64 re) -1/6)))))))
(fma.f64 im (exp.f64 re) (.f64 (.f64 im im) (+.f64 (.f64 1/2 (pow.f64 (exp.f64 re) 2)) (.f64 im (+.f64 (fma.f64 1/6 (exp.f64 (.f64 3 re)) (.f64 (exp.f64 re) -1/6)) (.f64 (fma.f64 1/24 (pow.f64 (exp.f64 re) 4) (.f64 (pow.f64 (exp.f64 re) 2) -1/6)) im))))))
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(-.f64 (exp.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(expm1.f64 (*.f64 (sin.f64 im) (exp.f64 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 1 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) (fma.f64 (sin.f64 im) re (.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))))
(+.f64 (sin.f64 im) (fma.f64 (sin.f64 im) re (.f64 (.f64 re re) (*.f64 (sin.f64 im) 1/2))))
(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 re (*.f64 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))))))
(+.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 (sin.f64 im) (fma.f64 (sin.f64 im) re (fma.f64 1/2 (.f64 re (.f64 (sin.f64 im) re)) (.f64 (sin.f64 im) (.f64 1/6 (pow.f64 re 3))))))
(fma.f64 (+.f64 1 re) (sin.f64 im) (.f64 (sin.f64 im) (+.f64 (.f64 re (.f64 re 1/2)) (.f64 (pow.f64 re 3) 1/6))))
(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 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 (.f64 (exp.f64 re) -1/6) (pow.f64 im 3) (.f64 im (exp.f64 re)))
(.f64 (exp.f64 re) (+.f64 im (.f64 -1/6 (pow.f64 im 3))))
(+.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 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (fma.f64 im (exp.f64 re) (.f64 (exp.f64 re) (*.f64 (pow.f64 im 5) 1/120))))
(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 re) (+.f64 im (+.f64 (.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)))))
(fma.f64 (.f64 (exp.f64 re) -1/6) (pow.f64 im 3) (fma.f64 (.f64 (exp.f64 re) 1/120) (pow.f64 im 5) (fma.f64 im (exp.f64 re) (.f64 (.f64 -1/5040 (pow.f64 im 7)) (exp.f64 re)))))
(+.f64 (.f64 (exp.f64 re) (+.f64 (.f64 -1/5040 (pow.f64 im 7)) im)) (.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 (.f64 -1/5040 (pow.f64 im 7)) im) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (.f64 1/120 (pow.f64 im 5)))))
(*.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))

localize4.0ms (0.1%)

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 4 computations (60% saved)

series3.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite43.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

435×	`pow1_binary64`
414×	`add-sqr-sqrt_binary64`
409×	`*-un-lft-identity_binary64`
397×	`add-log-exp_binary64`
397×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	94	6
2	1100	6

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify127.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

709×	`distribute-lft-out_binary64`
619×	`*-commutative_binary64`
531×	`associate-+l+_binary64`
442×	`sqr-pow_binary64`
431×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	46
1	53	46
2	136	42
3	404	37
4	1499	37
5	2398	37
6	4023	37
7	4155	37
8	4400	37
9	4756	37
10	5502	37
11	6346	37
12	7107	37
13	7638	37

Stop Event

1×	node limit

Counts

18 → 21

Calls

Call 1

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

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

localize8.0ms (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)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (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))))))

simplify114.0ms (1.7%)

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))

localize13.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.9b	(fma.f64 (sin.f64 im) (fma.f64 re (*.f64 re 1/2) re) (sin.f64 im))

Compiler

Compiled 27 to 13 computations (51.9% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	im	@	inf	(fma.f64 (sin.f64 im) (fma.f64 re (*.f64 re 1/2) re) (sin.f64 im))
1.0ms	im	@	0	(fma.f64 (sin.f64 im) (fma.f64 re (*.f64 re 1/2) re) (sin.f64 im))
1.0ms	re	@	-inf	(fma.f64 (sin.f64 im) (fma.f64 re (*.f64 re 1/2) re) (sin.f64 im))
1.0ms	re	@	inf	(fma.f64 (sin.f64 im) (fma.f64 re (*.f64 re 1/2) re) (sin.f64 im))
1.0ms	im	@	-inf	(fma.f64 (sin.f64 im) (fma.f64 re (*.f64 re 1/2) re) (sin.f64 im))

rewrite58.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`pow1_binary64`
706×	`add-log-exp_binary64`
706×	`log1p-expm1-u_binary64`
706×	`expm1-log1p-u_binary64`
690×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	16
1	160	16
2	1867	16

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

810×	`associate-+l+_binary64`
652×	`associate-+r+_binary64`
559×	`associate-l_binary64`
468×	`associate-r_binary64`
376×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	46	494
1	139	450
2	374	450
3	1418	418
4	6152	396
5	7787	396

Stop Event

1×	node limit

Counts

45 → 39

Calls

Call 1

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

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

eval57.0ms (0.9%)

Compiler: Compiled 2709 to 1349 computations (50.2% saved)

prune36.0ms (0.5%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	190	8	198
Fresh	1	0	1
Picked	1	0	1
Done	1	4	5
Total	193	12	205

Error

Counts

205 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.4b	(+.f64 (*.f64 re im) im)
▶	21.7b	(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 re (*.f64 re 1/2))))
	41.3b	im
✓	21.6b	(*.f64 (sin.f64 im) (+.f64 re 1))
✓	19.9b	(*.f64 (exp.f64 re) im)
	41.5b	(fma.f64 im (fma.f64 1/6 (pow.f64 re 3) (*.f64 re (fma.f64 re 1/2 1))) im)
▶	21.6b	(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re)))))
▶	21.7b	(log1p.f64 (expm1.f64 (sin.f64 im)))
✓	21.6b	(sin.f64 im)
	21.7b	(+.f64 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) re)) (sin.f64 im))
▶	0.0b	(.f64 (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) (sqrt.f64 (exp.f64 re)))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 202 to 136 computations (32.7% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 7 computations (74.1% saved)

series5.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

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

rewrite52.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

709×	`pow1_binary64`
649×	`add-log-exp_binary64`
649×	`log1p-expm1-u_binary64`
649×	`expm1-log1p-u_binary64`
632×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	18
1	154	18
2	1817	18

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

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

Outputs

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

simplify126.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

954×	`distribute-lft-out_binary64`
657×	`distribute-rgt-out_binary64`
634×	`associate-r_binary64`
489×	`unswap-sqr_binary64`
421×	`fma-def_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	66	493
1	188	489
2	521	445
3	1638	410
4	3114	405
5	4501	403
6	7048	403
7	7421	403
8	7990	403

Stop Event

1×	node limit

Counts

59 → 56

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (exp.f64 re)) im)
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 3))) (*.f64 (sqrt.f64 (exp.f64 re)) im))
(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 3))) (*.f64 (sqrt.f64 (exp.f64 re)) im)))
(+.f64 (.f64 -1/5040 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 7))) (+.f64 (.f64 1/120 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 3))) (*.f64 (sqrt.f64 (exp.f64 re)) im))))
(sin.f64 im)
(+.f64 (sin.f64 im) (.f64 1/2 (.f64 (sin.f64 im) re)))
(+.f64 (sin.f64 im) (+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/2 (.f64 (sin.f64 im) re))))
(+.f64 (sin.f64 im) (+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/2 (.f64 (sin.f64 im) re)) (.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3))))))
(*.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))
(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))

Outputs
(*.f64 (sqrt.f64 (exp.f64 re)) im)
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 3))) (*.f64 (sqrt.f64 (exp.f64 re)) im))
(fma.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 3)) (.f64 (sqrt.f64 (exp.f64 re)) im))
(fma.f64 (sqrt.f64 (exp.f64 re)) im (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (pow.f64 im 3) -1/6)))
(.f64 (sqrt.f64 (exp.f64 re)) (+.f64 im (.f64 -1/6 (pow.f64 im 3))))
(+.f64 (.f64 1/120 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 3))) (*.f64 (sqrt.f64 (exp.f64 re)) im)))
(fma.f64 1/120 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 5)) (fma.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 3)) (*.f64 (sqrt.f64 (exp.f64 re)) im)))
(fma.f64 1/120 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 5)) (fma.f64 (sqrt.f64 (exp.f64 re)) im (.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (pow.f64 im 3) -1/6))))
(fma.f64 (sqrt.f64 (exp.f64 re)) (.f64 1/120 (pow.f64 im 5)) (.f64 (sqrt.f64 (exp.f64 re)) (+.f64 im (*.f64 -1/6 (pow.f64 im 3)))))
(.f64 (sqrt.f64 (exp.f64 re)) (+.f64 im (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/6 (pow.f64 im 3)))))
(.f64 (sqrt.f64 (exp.f64 re)) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 im (*.f64 1/120 (pow.f64 im 5)))))
(+.f64 (.f64 -1/5040 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 7))) (+.f64 (.f64 1/120 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 5))) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 3))) (*.f64 (sqrt.f64 (exp.f64 re)) im))))
(fma.f64 -1/5040 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 7)) (fma.f64 1/120 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 5)) (fma.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 3)) (.f64 (sqrt.f64 (exp.f64 re)) im))))
(fma.f64 -1/5040 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 7)) (fma.f64 1/120 (.f64 (sqrt.f64 (exp.f64 re)) (pow.f64 im 5)) (fma.f64 (sqrt.f64 (exp.f64 re)) im (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (pow.f64 im 3) -1/6)))))
(+.f64 (.f64 (sqrt.f64 (exp.f64 re)) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (.f64 1/120 (pow.f64 im 5)))) (.f64 (sqrt.f64 (exp.f64 re)) (+.f64 im (*.f64 -1/5040 (pow.f64 im 7)))))
(.f64 (sqrt.f64 (exp.f64 re)) (+.f64 (+.f64 im (.f64 -1/6 (pow.f64 im 3))) (+.f64 (.f64 -1/5040 (pow.f64 im 7)) (.f64 1/120 (pow.f64 im 5)))))
(.f64 (sqrt.f64 (exp.f64 re)) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 im (+.f64 (.f64 -1/5040 (pow.f64 im 7)) (.f64 1/120 (pow.f64 im 5))))))
(sin.f64 im)
(+.f64 (sin.f64 im) (.f64 1/2 (.f64 (sin.f64 im) re)))
(+.f64 (sin.f64 im) (.f64 1/2 (.f64 re (sin.f64 im))))
(fma.f64 1/2 (*.f64 re (sin.f64 im)) (sin.f64 im))
(.f64 (+.f64 (.f64 re 1/2) 1) (sin.f64 im))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re 1/2)))
(fma.f64 re (*.f64 (sin.f64 im) 1/2) (sin.f64 im))
(+.f64 (sin.f64 im) (+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/2 (.f64 (sin.f64 im) re))))
(+.f64 (sin.f64 im) (fma.f64 1/8 (.f64 (sin.f64 im) (.f64 re re)) (.f64 1/2 (.f64 re (sin.f64 im)))))
(+.f64 (sin.f64 im) (fma.f64 1/8 (.f64 re (.f64 re (sin.f64 im))) (.f64 re (.f64 (sin.f64 im) 1/2))))
(+.f64 (sin.f64 im) (.f64 (sin.f64 im) (+.f64 (.f64 re 1/2) (.f64 re (.f64 re 1/8)))))
(+.f64 (sin.f64 im) (.f64 (.f64 re (sin.f64 im)) (+.f64 1/2 (*.f64 re 1/8))))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (*.f64 re 1/8)))))
(+.f64 (sin.f64 im) (+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/2 (.f64 (sin.f64 im) re)) (.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3))))))
(+.f64 (sin.f64 im) (fma.f64 1/8 (.f64 (sin.f64 im) (.f64 re re)) (fma.f64 1/2 (.f64 re (sin.f64 im)) (.f64 1/48 (*.f64 (sin.f64 im) (pow.f64 re 3))))))
(+.f64 (sin.f64 im) (fma.f64 1/8 (.f64 re (.f64 re (sin.f64 im))) (fma.f64 1/2 (.f64 re (sin.f64 im)) (.f64 (sin.f64 im) (*.f64 (pow.f64 re 3) 1/48)))))
(+.f64 (sin.f64 im) (fma.f64 (sin.f64 im) (.f64 1/48 (pow.f64 re 3)) (.f64 (sin.f64 im) (+.f64 (.f64 re 1/2) (.f64 re (*.f64 re 1/8))))))
(+.f64 (sin.f64 im) (.f64 (sin.f64 im) (+.f64 (.f64 re 1/2) (.f64 (.f64 re re) (+.f64 (*.f64 re 1/48) 1/8)))))
(+.f64 (sin.f64 im) (.f64 re (.f64 (sin.f64 im) (+.f64 (.f64 re (+.f64 1/8 (.f64 re 1/48))) 1/2))))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (+.f64 1/8 (.f64 re 1/48)))))))
(*.f64 (exp.f64 re) im)
(+.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 (exp.f64 re) im))
(fma.f64 (exp.f64 re) im (.f64 (exp.f64 re) (.f64 (pow.f64 im 3) -1/6)))
(.f64 (exp.f64 re) (+.f64 im (.f64 -1/6 (pow.f64 im 3))))
(+.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 (exp.f64 re) im)))
(fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (fma.f64 (exp.f64 re) im (.f64 (exp.f64 re) (*.f64 (pow.f64 im 5) 1/120))))
(fma.f64 (pow.f64 im 5) (.f64 (exp.f64 re) 1/120) (.f64 (exp.f64 re) (+.f64 im (*.f64 -1/6 (pow.f64 im 3)))))
(.f64 (exp.f64 re) (+.f64 (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/6 (pow.f64 im 3))) im))
(.f64 (exp.f64 re) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 im (*.f64 1/120 (pow.f64 im 5)))))
(.f64 (exp.f64 re) (+.f64 im (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/6 (pow.f64 im 3)))))
(+.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 (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 (exp.f64 re) im (.f64 (exp.f64 re) (.f64 (pow.f64 im 7) -1/5040)))))
(+.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 (+.f64 im (.f64 -1/5040 (pow.f64 im 7))) (+.f64 (.f64 1/120 (pow.f64 im 5)) (.f64 -1/6 (pow.f64 im 3)))))
(.f64 (exp.f64 re) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 im (+.f64 (.f64 -1/5040 (pow.f64 im 7)) (.f64 1/120 (pow.f64 im 5))))))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.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 (sin.f64 im) (fma.f64 (.f64 (sin.f64 im) 1/2) (.f64 re re) (*.f64 re (sin.f64 im))))
(.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 (+.f64 re (.f64 re (*.f64 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))))))
(+.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 re (.f64 re (sin.f64 im))) (.f64 (pow.f64 re 3) (*.f64 (sin.f64 im) 1/6))))
(fma.f64 (+.f64 re 1) (sin.f64 im) (.f64 (sin.f64 im) (+.f64 (.f64 (pow.f64 re 3) 1/6) (.f64 re (.f64 re 1/2)))))
(.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 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 21

Calls

6 calls:

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

rewrite54.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

633×	`pow1_binary64`
590×	`add-log-exp_binary64`
589×	`log1p-expm1-u_binary64`
589×	`expm1-log1p-u_binary64`
577×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	112	5
2	1610	5

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify18.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

62×	`fma-def_binary64`
59×	`fma-neg_binary64`
21×	`unsub-neg_binary64`
17×	`associate-l_binary64`
15×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	135
1	30	99
2	65	99
3	132	99
4	224	99
5	323	99
6	383	99

Stop Event

1×

saturated

Counts

61 → 46

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 1 re) (.f64 re (.f64 re 1/2)))
✓	2.9b	(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 re (*.f64 re 1/2))))

Compiler

Compiled 40 to 25 computations (37.5% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	im	@	inf	(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 re (*.f64 re 1/2))))
1.0ms	im	@	0	(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 re (*.f64 re 1/2))))
0.0ms	im	@	-inf	(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 re (*.f64 re 1/2))))
0.0ms	re	@	inf	(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 re (*.f64 re 1/2))))
0.0ms	re	@	0	(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 re (*.f64 re 1/2))))

rewrite75.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`log-prod_binary64`
566×	`fma-def_binary64`
456×	`pow-prod-down_binary64`
311×	`pow2_binary64`
219×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	240	27
2	3391	23

Stop Event

1×	node limit

Counts

2 → 146

Calls

Call 1

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

Outputs

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

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

simplify128.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1184×	`distribute-rgt-in_binary64`
1069×	`distribute-lft-in_binary64`
837×	`*-commutative_binary64`
434×	`unswap-sqr_binary64`
236×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	575
1	114	573
2	372	521
3	1790	497
4	3573	497
5	3993	497
6	4688	497
7	4788	497
8	4896	497
9	5034	497
10	7562	497
11	7944	497

Stop Event

1×	node limit

Counts

182 → 173

Calls

Call 1

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

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

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (*.f64 1/6 re))))
✓	0.0b	(.f64 (.f64 re re) (+.f64 1/2 (*.f64 1/6 re)))
✓	0.3b	(*.f64 1/6 re)
✓	1.9b	(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re)))))

Compiler

Compiled 61 to 37 computations (39.3% saved)

series10.0ms (0.1%)

Counts

4 → 48

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	im	@	0	(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re)))))
1.0ms	im	@	inf	(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re)))))
1.0ms	re	@	inf	(.f64 (.f64 re re) (+.f64 1/2 (*.f64 1/6 re)))
1.0ms	re	@	inf	(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re)))))
1.0ms	im	@	-inf	(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re)))))

rewrite101.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

777×	`fma-def_binary64`
752×	`log-prod_binary64`
315×	`fma-neg_binary64`
273×	`expm1-udef_binary64`
272×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	318	50
2	4642	50

Stop Event

1×	node limit

Counts

4 → 227

Calls

Call 1

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

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

simplify175.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

932×	`unswap-sqr_binary64`
804×	`*-commutative_binary64`
396×	`distribute-lft-out_binary64`
386×	`fma-def_binary64`
377×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	936
1	176	844
2	542	733
3	3003	703
4	3600	703
5	4091	703
6	4676	703
7	4812	703
8	4948	703
9	5606	703
10	5838	703
11	6147	703
12	7803	703

Stop Event

1×	node limit

Counts

275 → 263

Calls

Call 1

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

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(expm1.f64 (sin.f64 im))
✓	0.2b	(log1p.f64 (expm1.f64 (sin.f64 im)))

Compiler

Compiled 12 to 5 computations (58.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(log1p.f64 (expm1.f64 (sin.f64 im)))
0.0ms	im	@	0	(expm1.f64 (sin.f64 im))
0.0ms	im	@	inf	(expm1.f64 (sin.f64 im))
0.0ms	im	@	-inf	(expm1.f64 (sin.f64 im))
0.0ms	im	@	inf	(log1p.f64 (expm1.f64 (sin.f64 im)))

rewrite47.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

353×	`pow1_binary64`
340×	`add-sqr-sqrt_binary64`
334×	`*-un-lft-identity_binary64`
326×	`expm1-log1p-u_binary64`
325×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	80	8
2	883	8

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (sin.f64 im)))
(expm1.f64 (sin.f64 im))

Outputs

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

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

simplify166.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1346×	`fma-def_binary64`
714×	`sqr-pow_binary64`
543×	`cube-prod_binary64`
371×	`*-commutative_binary64`
324×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	156
1	98	156
2	217	156
3	587	156
4	1520	156
5	3011	156
6	3235	156
7	3442	156
8	3673	156
9	3953	156
10	4354	156
11	5215	156
12	5779	156
13	6493	156
14	6815	156
15	7205	156
16	7513	156
17	7821	156

Stop Event

1×	node limit

Counts

109 → 99

Calls

Call 1

Inputs
im
(+.f64 (*.f64 -1/6 (pow.f64 im 3)) im)
(+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 (.f64 1/120 (pow.f64 im 5)) im))
(+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 (.f64 -1/5040 (pow.f64 im 7)) (+.f64 (*.f64 1/120 (pow.f64 im 5)) im)))
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
im
(+.f64 (*.f64 1/2 (pow.f64 im 2)) im)
(+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (.f64 -1/8 (pow.f64 im 4)) im))
(+.f64 (.f64 -1/15 (pow.f64 im 5)) (+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (*.f64 -1/8 (pow.f64 im 4)) im)))
(-.f64 (exp.f64 (sin.f64 im)) 1)
(-.f64 (exp.f64 (sin.f64 im)) 1)
(-.f64 (exp.f64 (sin.f64 im)) 1)
(-.f64 (exp.f64 (sin.f64 im)) 1)
(-.f64 (exp.f64 (sin.f64 im)) 1)
(-.f64 (exp.f64 (sin.f64 im)) 1)
(-.f64 (exp.f64 (sin.f64 im)) 1)
(-.f64 (exp.f64 (sin.f64 im)) 1)

Outputs
im
(+.f64 (*.f64 -1/6 (pow.f64 im 3)) im)
(fma.f64 -1/6 (pow.f64 im 3) im)
(+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 (.f64 1/120 (pow.f64 im 5)) im))
(fma.f64 -1/6 (pow.f64 im 3) (fma.f64 1/120 (pow.f64 im 5) im))
(+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 (.f64 -1/5040 (pow.f64 im 7)) (+.f64 (*.f64 1/120 (pow.f64 im 5)) im)))
(fma.f64 -1/6 (pow.f64 im 3) (fma.f64 -1/5040 (pow.f64 im 7) (fma.f64 1/120 (pow.f64 im 5) im)))
(fma.f64 -1/6 (pow.f64 im 3) (fma.f64 1/120 (pow.f64 im 5) (fma.f64 -1/5040 (pow.f64 im 7) im)))
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
(sin.f64 im)
im
(+.f64 (*.f64 1/2 (pow.f64 im 2)) im)
(fma.f64 1/2 (*.f64 im im) im)
(fma.f64 im (*.f64 im 1/2) im)
(+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (.f64 -1/8 (pow.f64 im 4)) im))
(fma.f64 1/2 (*.f64 im im) (fma.f64 -1/8 (pow.f64 im 4) im))
(fma.f64 im (*.f64 im 1/2) (fma.f64 -1/8 (pow.f64 im 4) im))
(*.f64 im (fma.f64 (pow.f64 im 3) -1/8 (fma.f64 im 1/2 1)))
(*.f64 im (fma.f64 im 1/2 (fma.f64 (pow.f64 im 3) -1/8 1)))
(.f64 im (fma.f64 im (fma.f64 im (.f64 im -1/8) 1/2) 1))
(+.f64 (.f64 -1/15 (pow.f64 im 5)) (+.f64 (.f64 1/2 (pow.f64 im 2)) (+.f64 (*.f64 -1/8 (pow.f64 im 4)) im)))
(fma.f64 -1/15 (pow.f64 im 5) (fma.f64 1/2 (*.f64 im im) (fma.f64 -1/8 (pow.f64 im 4) im)))
(fma.f64 (pow.f64 im 5) -1/15 (fma.f64 1/2 (*.f64 im im) (fma.f64 -1/8 (pow.f64 im 4) im)))
(fma.f64 im (*.f64 im 1/2) (fma.f64 (pow.f64 im 5) -1/15 (fma.f64 -1/8 (pow.f64 im 4) im)))
(fma.f64 im (*.f64 im 1/2) (fma.f64 -1/8 (pow.f64 im 4) (fma.f64 (pow.f64 im 5) -1/15 im)))
(-.f64 (exp.f64 (sin.f64 im)) 1)
(expm1.f64 (sin.f64 im))
(-.f64 (exp.f64 (sin.f64 im)) 1)
(expm1.f64 (sin.f64 im))
(-.f64 (exp.f64 (sin.f64 im)) 1)
(expm1.f64 (sin.f64 im))
(-.f64 (exp.f64 (sin.f64 im)) 1)
(expm1.f64 (sin.f64 im))
(-.f64 (exp.f64 (sin.f64 im)) 1)
(expm1.f64 (sin.f64 im))
(-.f64 (exp.f64 (sin.f64 im)) 1)
(expm1.f64 (sin.f64 im))
(-.f64 (exp.f64 (sin.f64 im)) 1)
(expm1.f64 (sin.f64 im))
(-.f64 (exp.f64 (sin.f64 im)) 1)
(expm1.f64 (sin.f64 im))

eval217.0ms (3.2%)

Compiler: Compiled 11169 to 6570 computations (41.2% saved)

prune97.0ms (1.4%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	631	6	637
Fresh	2	1	3
Picked	0	1	1
Done	2	6	8
Total	635	14	649

Error

Counts

649 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.5b	(fma.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) re) im im)
✓	21.6b	(*.f64 (sin.f64 im) (+.f64 re 1))
▶	15.0b	(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (+.f64 1/8 (*.f64 re 1/48))))))) (sqrt.f64 (exp.f64 re)))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	21.7b	(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
✓	19.9b	(*.f64 (exp.f64 re) im)
▶	61.5b	(*.f64 re im)
	41.3b	im
✓	21.6b	(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re)))))
✓	41.4b	(+.f64 (*.f64 re im) im)
✓	21.7b	(log1p.f64 (expm1.f64 (sin.f64 im)))
✓	21.6b	(sin.f64 im)
▶	21.7b	(+.f64 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) re)) (sin.f64 im))
	19.9b	(.f64 (.f64 (sqrt.f64 (exp.f64 re)) im) (sqrt.f64 (exp.f64 re)))

Compiler

Compiled 219 to 146 computations (33.3% saved)

localize42.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 re (+.f64 1/8 (.f64 re 1/48)))
✓	0.3b	(*.f64 re 1/48)
✓	1.9b	(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (+.f64 1/8 (.f64 re 1/48)))))))
✓	12.6b	(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (+.f64 1/8 (*.f64 re 1/48))))))) (sqrt.f64 (exp.f64 re)))

Compiler

Compiled 99 to 68 computations (31.3% saved)

series14.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	im	@	-inf	(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (+.f64 1/8 (.f64 re 1/48)))))))
1.0ms	im	@	0	(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (+.f64 1/8 (*.f64 re 1/48))))))) (sqrt.f64 (exp.f64 re)))
1.0ms	im	@	inf	(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (+.f64 1/8 (*.f64 re 1/48))))))) (sqrt.f64 (exp.f64 re)))
1.0ms	re	@	inf	(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (+.f64 1/8 (*.f64 re 1/48))))))) (sqrt.f64 (exp.f64 re)))
1.0ms	re	@	-inf	(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (+.f64 1/8 (*.f64 re 1/48))))))) (sqrt.f64 (exp.f64 re)))

rewrite95.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

675×	`fma-def_binary64`
331×	`expm1-udef_binary64`
331×	`log1p-udef_binary64`
274×	`fma-neg_binary64`
268×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	69
1	393	55
2	5376	55

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

Inputs
(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (+.f64 1/8 (*.f64 re 1/48))))))) (sqrt.f64 (exp.f64 re)))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (+.f64 1/8 (.f64 re 1/48)))))))
(*.f64 re 1/48)
(.f64 re (+.f64 1/8 (.f64 re 1/48)))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 re 1/8) (.f64 re (.f64 re 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 re (.f64 re 1/48)) (.f64 re 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 re 1/8) 1) (.f64 (.f64 re (.f64 re 1/48)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 re (fma.f64 re 1/48 1/8)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 re 1/8) 3) (pow.f64 (.f64 re (.f64 re 1/48)) 3)) (fma.f64 (.f64 re 1/8) (.f64 re 1/8) (-.f64 (.f64 (.f64 re (.f64 re 1/48)) (.f64 re (.f64 re 1/48))) (.f64 (.f64 re 1/8) (.f64 re (.f64 re 1/48))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 re 1/8) (.f64 re 1/8)) (.f64 (.f64 re (.f64 re 1/48)) (.f64 re (.f64 re 1/48)))) (-.f64 (.f64 re 1/8) (.f64 re (.f64 re 1/48))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (fma.f64 1/110592 (pow.f64 re 3) 1/512) re) (fma.f64 (.f64 re 1/48) (fma.f64 re 1/48 -1/8) 1/64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/64 (pow.f64 (.f64 re 1/48) 2)) re) (+.f64 1/8 (.f64 -1/48 re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 re (fma.f64 1/110592 (pow.f64 re 3) 1/512)) (fma.f64 (.f64 re 1/48) (fma.f64 re 1/48 -1/8) 1/64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 re (-.f64 1/64 (pow.f64 (.f64 re 1/48) 2))) (+.f64 1/8 (.f64 -1/48 re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 re (fma.f64 re 1/48 1/8)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 re (fma.f64 re 1/48 1/8))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 re (fma.f64 re 1/48 1/8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 re (fma.f64 re 1/48 1/8)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 re (fma.f64 re 1/48 1/8)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 re) (fma.f64 re 1/48 1/8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 re (fma.f64 re 1/48 1/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 re (.f64 re 1/48))) (exp.f64 (.f64 re 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 re (fma.f64 re 1/48 1/8)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 re (fma.f64 re 1/48 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 re (fma.f64 re 1/48 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 re (fma.f64 re 1/48 1/8))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 re (fma.f64 re 1/48 1/8))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 re 1/8) (.f64 re (.f64 re 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 re (.f64 re 1/48)) (.f64 re 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 re 1/8 (.f64 re (.f64 re 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 re (.f64 re 1/48) (.f64 re 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/8 re (.f64 re (.f64 re 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/48 (.f64 re re) (.f64 re 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 re 1/48) re (.f64 re 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 re re) 1/48 (.f64 re 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (.f64 re 1/48) 2)) (.f64 (cbrt.f64 (.f64 re 1/48)) re) (.f64 re 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 re) 2) (.f64 (cbrt.f64 re) 1/8) (.f64 re (.f64 re 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 re) 2) (.f64 (cbrt.f64 re) (.f64 re 1/48)) (.f64 re 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 re 1/48)) (.f64 (sqrt.f64 (.f64 re 1/48)) re) (.f64 re 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) 1/8) (.f64 re (.f64 re 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) (.f64 re 1/48)) (.f64 re 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 re 1/8) 1 (.f64 (.f64 re (.f64 re 1/48)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 re 1/8)) (cbrt.f64 (.f64 re 1/8))) (cbrt.f64 (.f64 re 1/8)) (.f64 re (.f64 re 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 re (.f64 re 1/48))) (cbrt.f64 (.f64 re (.f64 re 1/48)))) (cbrt.f64 (.f64 re (.f64 re 1/48))) (.f64 re 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 re 1/8)) (sqrt.f64 (.f64 re 1/8)) (.f64 re (.f64 re 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 re (.f64 re 1/48))) (sqrt.f64 (.f64 re (.f64 re 1/48))) (.f64 re 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 (.f64 re 1/48)) (sqrt.f64 re)) (.f64 (sqrt.f64 (.f64 re 1/48)) (sqrt.f64 re)) (.f64 re 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (sqrt.f64 re) (sqrt.f64 (.f64 re 1/48))) (.f64 (sqrt.f64 re) (sqrt.f64 (.f64 re 1/48))) (.f64 re 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/8 (pow.f64 (cbrt.f64 re) 2)) (cbrt.f64 re) (.f64 re (.f64 re 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/8 (sqrt.f64 re)) (sqrt.f64 re) (.f64 re (.f64 re 1/48)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 re 1/48) (pow.f64 (cbrt.f64 re) 2)) (cbrt.f64 re) (.f64 re 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 re 1/48) (sqrt.f64 re)) (sqrt.f64 re) (.f64 re 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 re (cbrt.f64 (pow.f64 (.f64 re 1/48) 2))) (cbrt.f64 (.f64 re 1/48)) (.f64 re 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 re (sqrt.f64 (.f64 re 1/48))) (sqrt.f64 (.f64 re 1/48)) (.f64 re 1/8))))))

simplify161.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1146×	`distribute-lft-out_binary64`
796×	`fma-def_binary64`
522×	`unswap-sqr_binary64`
459×	`associate-l_binary64`
417×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	93	1714
1	284	1491
2	889	1240
3	4173	1234
4	4855	1234
5	5102	1234
6	5459	1234
7	6360	1234
8	6816	1159

Stop Event

1×	node limit

Counts

214 → 195

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re)))) im))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 3)))) (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re)))) im)))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 3)))) (+.f64 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) im)) (.f64 1/120 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re)))) (pow.f64 im 5))))))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 3)))) (+.f64 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) im)) (+.f64 (.f64 1/120 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 5)))) (.f64 -1/5040 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re)))) (pow.f64 im 7)))))))
(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re))))) (sqrt.f64 (exp.f64 re)))
(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re))))) (sqrt.f64 (exp.f64 re)))
(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re))))) (sqrt.f64 (exp.f64 re)))
(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re))))) (sqrt.f64 (exp.f64 re)))
(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re))))) (sqrt.f64 (exp.f64 re)))
(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re))))) (sqrt.f64 (exp.f64 re)))
(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re))))) (sqrt.f64 (exp.f64 re)))
(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re))))) (sqrt.f64 (exp.f64 re)))
(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 (.f64 (+.f64 (.f64 1/8 (sin.f64 im)) (.f64 1/24 (sin.f64 im))) (pow.f64 re 3)) (+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))))
(.f64 1/48 (.f64 (*.f64 (sin.f64 im) (pow.f64 re 3)) (sqrt.f64 (exp.f64 re))))
(+.f64 (.f64 1/48 (.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) (sqrt.f64 (exp.f64 re)))) (.f64 1/8 (.f64 (.f64 (sin.f64 im) (pow.f64 re 2)) (sqrt.f64 (exp.f64 re)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 im) re) (sqrt.f64 (exp.f64 re)))) (+.f64 (.f64 1/48 (.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) (sqrt.f64 (exp.f64 re)))) (.f64 1/8 (.f64 (*.f64 (sin.f64 im) (pow.f64 re 2)) (sqrt.f64 (exp.f64 re))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 im) re) (sqrt.f64 (exp.f64 re)))) (+.f64 (.f64 1/48 (.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) (sqrt.f64 (exp.f64 re)))) (+.f64 (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) (.f64 1/8 (.f64 (.f64 (sin.f64 im) (pow.f64 re 2)) (sqrt.f64 (exp.f64 re)))))))
(.f64 1/48 (.f64 (*.f64 (sin.f64 im) (pow.f64 re 3)) (sqrt.f64 (exp.f64 re))))
(+.f64 (.f64 1/48 (.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) (sqrt.f64 (exp.f64 re)))) (.f64 1/8 (.f64 (.f64 (sin.f64 im) (pow.f64 re 2)) (sqrt.f64 (exp.f64 re)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 im) re) (sqrt.f64 (exp.f64 re)))) (+.f64 (.f64 1/48 (.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) (sqrt.f64 (exp.f64 re)))) (.f64 1/8 (.f64 (*.f64 (sin.f64 im) (pow.f64 re 2)) (sqrt.f64 (exp.f64 re))))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 im) re) (sqrt.f64 (exp.f64 re)))) (+.f64 (.f64 1/48 (.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) (sqrt.f64 (exp.f64 re)))) (+.f64 (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) (.f64 1/8 (.f64 (.f64 (sin.f64 im) (pow.f64 re 2)) (sqrt.f64 (exp.f64 re)))))))
(.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) im)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 3))) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re)))) im))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 5))) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) im)))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 3))) (+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 7))) (+.f64 (.f64 1/120 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 5))) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re)))) im))))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))))
(sin.f64 im)
(+.f64 (sin.f64 im) (.f64 1/2 (.f64 (sin.f64 im) re)))
(+.f64 (sin.f64 im) (+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/2 (.f64 (sin.f64 im) re))))
(+.f64 (sin.f64 im) (+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/2 (.f64 (sin.f64 im) re)) (.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3))))))
(.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3)))
(+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3))))
(+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/2 (.f64 (sin.f64 im) re)) (.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3)))))
(+.f64 (sin.f64 im) (+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/2 (.f64 (sin.f64 im) re)) (.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3))))))
(.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3)))
(+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3))))
(+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/2 (.f64 (sin.f64 im) re)) (.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3)))))
(+.f64 (sin.f64 im) (+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/2 (.f64 (sin.f64 im) re)) (.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3))))))
(*.f64 1/48 re)
(*.f64 1/48 re)
(*.f64 1/48 re)
(*.f64 1/48 re)
(*.f64 1/48 re)
(*.f64 1/48 re)
(*.f64 1/48 re)
(*.f64 1/48 re)
(*.f64 1/48 re)
(*.f64 1/48 re)
(*.f64 1/48 re)
(*.f64 1/48 re)
(*.f64 1/8 re)
(+.f64 (.f64 1/8 re) (.f64 1/48 (pow.f64 re 2)))
(+.f64 (.f64 1/8 re) (.f64 1/48 (pow.f64 re 2)))
(+.f64 (.f64 1/8 re) (.f64 1/48 (pow.f64 re 2)))
(*.f64 1/48 (pow.f64 re 2))
(+.f64 (.f64 1/8 re) (.f64 1/48 (pow.f64 re 2)))
(+.f64 (.f64 1/8 re) (.f64 1/48 (pow.f64 re 2)))
(+.f64 (.f64 1/8 re) (.f64 1/48 (pow.f64 re 2)))
(*.f64 1/48 (pow.f64 re 2))
(+.f64 (.f64 1/8 re) (.f64 1/48 (pow.f64 re 2)))
(+.f64 (.f64 1/8 re) (.f64 1/48 (pow.f64 re 2)))
(+.f64 (.f64 1/8 re) (.f64 1/48 (pow.f64 re 2)))

Outputs
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re)))) im))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) im))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) im))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 3)))) (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re)))) im)))
(fma.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (pow.f64 im 3))) (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) im)))
(fma.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) im) (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (.f64 (pow.f64 im 3) -1/6))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (+.f64 im (*.f64 -1/6 (pow.f64 im 3)))))
(.f64 (.f64 (sqrt.f64 (exp.f64 re)) (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1)) (+.f64 im (*.f64 -1/6 (pow.f64 im 3))))
(.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (.f64 (sqrt.f64 (exp.f64 re)) (+.f64 im (*.f64 -1/6 (pow.f64 im 3)))))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 3)))) (+.f64 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) im)) (.f64 1/120 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re)))) (pow.f64 im 5))))))
(fma.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (pow.f64 im 3))) (fma.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) im) (.f64 (.f64 1/120 (sqrt.f64 (exp.f64 re))) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (pow.f64 im 5)))))
(fma.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (pow.f64 im 3))) (fma.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) im) (.f64 1/120 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (pow.f64 im 5))))))
(fma.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) im) (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (*.f64 1/120 (pow.f64 im 5))))))
(fma.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) im) (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/6 (pow.f64 im 3))))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (+.f64 im (+.f64 (.f64 1/120 (pow.f64 im 5)) (.f64 -1/6 (pow.f64 im 3))))))
(+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 3)))) (+.f64 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) im)) (+.f64 (.f64 1/120 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 5)))) (.f64 -1/5040 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re)))) (pow.f64 im 7)))))))
(fma.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (pow.f64 im 3))) (fma.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) im) (fma.f64 1/120 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (pow.f64 im 5))) (.f64 (.f64 -1/5040 (sqrt.f64 (exp.f64 re))) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (pow.f64 im 7))))))
(fma.f64 -1/6 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (pow.f64 im 3))) (fma.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) im) (fma.f64 1/120 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (pow.f64 im 5))) (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (.f64 (pow.f64 im 7) -1/5040))))))
(+.f64 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (+.f64 im (.f64 -1/6 (pow.f64 im 3))))) (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/5040 (pow.f64 im 7))))))
(+.f64 (.f64 (.f64 (sqrt.f64 (exp.f64 re)) (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1)) (+.f64 im (.f64 -1/6 (pow.f64 im 3)))) (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/5040 (pow.f64 im 7))))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (+.f64 (+.f64 im (.f64 -1/6 (pow.f64 im 3))) (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/5040 (pow.f64 im 7))))))
(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re))))) (sqrt.f64 (exp.f64 re)))
(.f64 (sin.f64 im) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (sqrt.f64 (exp.f64 re))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im)))
(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re))))) (sqrt.f64 (exp.f64 re)))
(.f64 (sin.f64 im) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (sqrt.f64 (exp.f64 re))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im)))
(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re))))) (sqrt.f64 (exp.f64 re)))
(.f64 (sin.f64 im) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (sqrt.f64 (exp.f64 re))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im)))
(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re))))) (sqrt.f64 (exp.f64 re)))
(.f64 (sin.f64 im) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (sqrt.f64 (exp.f64 re))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im)))
(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re))))) (sqrt.f64 (exp.f64 re)))
(.f64 (sin.f64 im) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (sqrt.f64 (exp.f64 re))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im)))
(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re))))) (sqrt.f64 (exp.f64 re)))
(.f64 (sin.f64 im) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (sqrt.f64 (exp.f64 re))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im)))
(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re))))) (sqrt.f64 (exp.f64 re)))
(.f64 (sin.f64 im) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (sqrt.f64 (exp.f64 re))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im)))
(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re))))) (sqrt.f64 (exp.f64 re)))
(.f64 (sin.f64 im) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (sqrt.f64 (exp.f64 re))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im)))
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.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 (.f64 1/2 (sin.f64 im)) (*.f64 re re))))
(+.f64 (sin.f64 im) (fma.f64 re (sin.f64 im) (.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))))
(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))
(+.f64 (.f64 (+.f64 (.f64 1/8 (sin.f64 im)) (.f64 1/24 (sin.f64 im))) (pow.f64 re 3)) (+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2))))))
(fma.f64 (.f64 (sin.f64 im) 1/6) (pow.f64 re 3) (+.f64 (sin.f64 im) (fma.f64 (sin.f64 im) re (.f64 (.f64 1/2 (sin.f64 im)) (.f64 re re)))))
(+.f64 (fma.f64 re (sin.f64 im) (.f64 1/2 (.f64 (sin.f64 im) (.f64 re re)))) (fma.f64 (.f64 (sin.f64 im) 1/6) (pow.f64 re 3) (sin.f64 im)))
(fma.f64 (sin.f64 im) (.f64 (pow.f64 re 3) 1/6) (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 re (.f64 re 1/2)))))
(fma.f64 (+.f64 re 1) (sin.f64 im) (.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re)))))
(fma.f64 (+.f64 re 1) (sin.f64 im) (.f64 re (.f64 re (.f64 (sin.f64 im) (+.f64 (.f64 re 1/6) 1/2)))))
(.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re))) (+.f64 re 1)))
(.f64 1/48 (.f64 (*.f64 (sin.f64 im) (pow.f64 re 3)) (sqrt.f64 (exp.f64 re))))
(.f64 1/48 (.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sin.f64 im) (pow.f64 re 3))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 1/48 (*.f64 (sin.f64 im) (pow.f64 re 3))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (*.f64 1/48 (pow.f64 re 3))))
(+.f64 (.f64 1/48 (.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) (sqrt.f64 (exp.f64 re)))) (.f64 1/8 (.f64 (.f64 (sin.f64 im) (pow.f64 re 2)) (sqrt.f64 (exp.f64 re)))))
(fma.f64 1/48 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/8 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (.f64 re re)))))
(.f64 (sqrt.f64 (exp.f64 re)) (fma.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 1/8 (.f64 (sin.f64 im) (*.f64 re re)))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re 1/48 1/8) (.f64 (sin.f64 im) (.f64 re re))))
(.f64 (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) (.f64 re (.f64 re (fma.f64 re 1/48 1/8))))
(.f64 (.f64 re (sqrt.f64 (exp.f64 re))) (.f64 re (.f64 (sin.f64 im) (fma.f64 re 1/48 1/8))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 im) re) (sqrt.f64 (exp.f64 re)))) (+.f64 (.f64 1/48 (.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) (sqrt.f64 (exp.f64 re)))) (.f64 1/8 (.f64 (*.f64 (sin.f64 im) (pow.f64 re 2)) (sqrt.f64 (exp.f64 re))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 re (sin.f64 im))) (fma.f64 1/48 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/8 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (.f64 re re))))))
(fma.f64 1/2 (.f64 re (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))) (.f64 (sqrt.f64 (exp.f64 re)) (fma.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 1/8 (.f64 (sin.f64 im) (*.f64 re re))))))
(.f64 (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) (.f64 re (*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))))
(.f64 re (.f64 (*.f64 (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) (sin.f64 im)) (sqrt.f64 (exp.f64 re))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 im) re) (sqrt.f64 (exp.f64 re)))) (+.f64 (.f64 1/48 (.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) (sqrt.f64 (exp.f64 re)))) (+.f64 (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) (.f64 1/8 (.f64 (.f64 (sin.f64 im) (pow.f64 re 2)) (sqrt.f64 (exp.f64 re)))))))
(.f64 (sin.f64 im) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (sqrt.f64 (exp.f64 re))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im)))
(.f64 1/48 (.f64 (*.f64 (sin.f64 im) (pow.f64 re 3)) (sqrt.f64 (exp.f64 re))))
(.f64 1/48 (.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sin.f64 im) (pow.f64 re 3))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 1/48 (*.f64 (sin.f64 im) (pow.f64 re 3))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (*.f64 1/48 (pow.f64 re 3))))
(+.f64 (.f64 1/48 (.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) (sqrt.f64 (exp.f64 re)))) (.f64 1/8 (.f64 (.f64 (sin.f64 im) (pow.f64 re 2)) (sqrt.f64 (exp.f64 re)))))
(fma.f64 1/48 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/8 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (.f64 re re)))))
(.f64 (sqrt.f64 (exp.f64 re)) (fma.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 1/8 (.f64 (sin.f64 im) (*.f64 re re)))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re 1/48 1/8) (.f64 (sin.f64 im) (.f64 re re))))
(.f64 (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)) (.f64 re (.f64 re (fma.f64 re 1/48 1/8))))
(.f64 (.f64 re (sqrt.f64 (exp.f64 re))) (.f64 re (.f64 (sin.f64 im) (fma.f64 re 1/48 1/8))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 im) re) (sqrt.f64 (exp.f64 re)))) (+.f64 (.f64 1/48 (.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) (sqrt.f64 (exp.f64 re)))) (.f64 1/8 (.f64 (*.f64 (sin.f64 im) (pow.f64 re 2)) (sqrt.f64 (exp.f64 re))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 re (sin.f64 im))) (fma.f64 1/48 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/8 (.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (.f64 re re))))))
(fma.f64 1/2 (.f64 re (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))) (.f64 (sqrt.f64 (exp.f64 re)) (fma.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 1/8 (.f64 (sin.f64 im) (*.f64 re re))))))
(.f64 (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) (.f64 re (*.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im))))
(.f64 re (.f64 (*.f64 (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) (sin.f64 im)) (sqrt.f64 (exp.f64 re))))
(+.f64 (.f64 1/2 (.f64 (.f64 (sin.f64 im) re) (sqrt.f64 (exp.f64 re)))) (+.f64 (.f64 1/48 (.f64 (.f64 (sin.f64 im) (pow.f64 re 3)) (sqrt.f64 (exp.f64 re)))) (+.f64 (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) (.f64 1/8 (.f64 (.f64 (sin.f64 im) (pow.f64 re 2)) (sqrt.f64 (exp.f64 re)))))))
(.f64 (sin.f64 im) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (sqrt.f64 (exp.f64 re))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im)))
(.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) im)
(.f64 (+.f64 1 (.f64 re (+.f64 1/2 (*.f64 re (fma.f64 1/48 re 1/8))))) im)
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) im)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 3))) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re)))) im))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (pow.f64 im 3)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) im))
(fma.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) im (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (.f64 (pow.f64 im 3) -1/6)))
(.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (+.f64 im (.f64 -1/6 (pow.f64 im 3))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 3))) (+.f64 (.f64 1/120 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 5))) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) im)))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (pow.f64 im 3)) (fma.f64 1/120 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (pow.f64 im 5)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (*.f64 re (fma.f64 1/48 re 1/8))))) im)))
(fma.f64 -1/6 (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (pow.f64 im 3)) (fma.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) im (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (*.f64 (pow.f64 im 5) 1/120))))
(fma.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) im (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (*.f64 1/120 (pow.f64 im 5)))))
(fma.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) im (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/6 (pow.f64 im 3)))))
(.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (+.f64 im (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/6 (pow.f64 im 3)))))
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 3))) (+.f64 (.f64 -1/5040 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 7))) (+.f64 (.f64 1/120 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))) (pow.f64 im 5))) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re)))) im))))
(fma.f64 -1/6 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (pow.f64 im 3)) (fma.f64 -1/5040 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (pow.f64 im 7)) (fma.f64 1/120 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) (pow.f64 im 5)) (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (fma.f64 1/48 re 1/8))))) im))))
(fma.f64 -1/6 (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (pow.f64 im 3)) (fma.f64 -1/5040 (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (pow.f64 im 7)) (fma.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) im (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (.f64 (pow.f64 im 5) 1/120)))))
(+.f64 (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (+.f64 im (.f64 -1/6 (pow.f64 im 3)))) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (+.f64 (.f64 1/120 (pow.f64 im 5)) (*.f64 -1/5040 (pow.f64 im 7)))))
(+.f64 (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (+.f64 im (.f64 1/120 (pow.f64 im 5)))) (.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (+.f64 (.f64 -1/5040 (pow.f64 im 7)) (*.f64 -1/6 (pow.f64 im 3)))))
(.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (+.f64 (+.f64 im (.f64 -1/6 (pow.f64 im 3))) (+.f64 (.f64 1/120 (pow.f64 im 5)) (.f64 -1/5040 (pow.f64 im 7)))))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))))
(.f64 (+.f64 1 (.f64 re (+.f64 1/2 (*.f64 re (fma.f64 1/48 re 1/8))))) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))))
(.f64 (+.f64 1 (.f64 re (+.f64 1/2 (*.f64 re (fma.f64 1/48 re 1/8))))) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))))
(.f64 (+.f64 1 (.f64 re (+.f64 1/2 (*.f64 re (fma.f64 1/48 re 1/8))))) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))))
(.f64 (+.f64 1 (.f64 re (+.f64 1/2 (*.f64 re (fma.f64 1/48 re 1/8))))) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))))
(.f64 (+.f64 1 (.f64 re (+.f64 1/2 (*.f64 re (fma.f64 1/48 re 1/8))))) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))))
(.f64 (+.f64 1 (.f64 re (+.f64 1/2 (*.f64 re (fma.f64 1/48 re 1/8))))) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))))
(.f64 (+.f64 1 (.f64 re (+.f64 1/2 (*.f64 re (fma.f64 1/48 re 1/8))))) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (.f64 1/48 re) 1/8) re)))))
(.f64 (+.f64 1 (.f64 re (+.f64 1/2 (*.f64 re (fma.f64 1/48 re 1/8))))) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im))
(sin.f64 im)
(+.f64 (sin.f64 im) (.f64 1/2 (.f64 (sin.f64 im) re)))
(+.f64 (sin.f64 im) (.f64 (.f64 1/2 (sin.f64 im)) re))
(fma.f64 1/2 (*.f64 re (sin.f64 im)) (sin.f64 im))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re 1/2)))
(fma.f64 re (*.f64 1/2 (sin.f64 im)) (sin.f64 im))
(+.f64 (sin.f64 im) (+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/2 (.f64 (sin.f64 im) re))))
(+.f64 (sin.f64 im) (fma.f64 1/8 (.f64 (sin.f64 im) (.f64 re re)) (.f64 (.f64 1/2 (sin.f64 im)) re)))
(+.f64 (sin.f64 im) (fma.f64 1/2 (.f64 re (sin.f64 im)) (.f64 1/8 (.f64 (sin.f64 im) (.f64 re re)))))
(+.f64 (sin.f64 im) (.f64 (sin.f64 im) (+.f64 (.f64 re 1/2) (.f64 re (.f64 re 1/8)))))
(+.f64 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re (+.f64 1/2 (*.f64 re 1/8)))))
(+.f64 (sin.f64 im) (.f64 (.f64 re (sin.f64 im)) (+.f64 1/2 (*.f64 re 1/8))))
(.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (*.f64 re 1/8)))))
(+.f64 (sin.f64 im) (+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/2 (.f64 (sin.f64 im) re)) (.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3))))))
(.f64 (+.f64 1 (.f64 re (+.f64 1/2 (*.f64 re (fma.f64 1/48 re 1/8))))) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im))
(.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3)))
(.f64 (sin.f64 im) (.f64 1/48 (pow.f64 re 3)))
(+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3))))
(fma.f64 1/8 (.f64 (sin.f64 im) (.f64 re re)) (.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3))))
(fma.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 1/8 (.f64 (sin.f64 im) (.f64 re re))))
(.f64 (fma.f64 re 1/48 1/8) (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 re (.f64 re (*.f64 (sin.f64 im) (fma.f64 re 1/48 1/8))))
(+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/2 (.f64 (sin.f64 im) re)) (.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3)))))
(fma.f64 1/8 (.f64 (sin.f64 im) (.f64 re re)) (fma.f64 1/2 (.f64 re (sin.f64 im)) (.f64 1/48 (*.f64 (sin.f64 im) (pow.f64 re 3)))))
(.f64 re (.f64 (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) (sin.f64 im)))
(+.f64 (sin.f64 im) (+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/2 (.f64 (sin.f64 im) re)) (.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3))))))
(.f64 (+.f64 1 (.f64 re (+.f64 1/2 (*.f64 re (fma.f64 1/48 re 1/8))))) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im))
(.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3)))
(.f64 (sin.f64 im) (.f64 1/48 (pow.f64 re 3)))
(+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3))))
(fma.f64 1/8 (.f64 (sin.f64 im) (.f64 re re)) (.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3))))
(fma.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3)) (.f64 1/8 (.f64 (sin.f64 im) (.f64 re re))))
(.f64 (fma.f64 re 1/48 1/8) (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 re (.f64 re (*.f64 (sin.f64 im) (fma.f64 re 1/48 1/8))))
(+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/2 (.f64 (sin.f64 im) re)) (.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3)))))
(fma.f64 1/8 (.f64 (sin.f64 im) (.f64 re re)) (fma.f64 1/2 (.f64 re (sin.f64 im)) (.f64 1/48 (*.f64 (sin.f64 im) (pow.f64 re 3)))))
(.f64 re (.f64 (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) (sin.f64 im)))
(+.f64 (sin.f64 im) (+.f64 (.f64 1/8 (.f64 (sin.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/2 (.f64 (sin.f64 im) re)) (.f64 1/48 (.f64 (sin.f64 im) (pow.f64 re 3))))))
(.f64 (+.f64 1 (.f64 re (+.f64 1/2 (*.f64 re (fma.f64 1/48 re 1/8))))) (sin.f64 im))
(*.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/48 1/8) 1/2) 1) (sin.f64 im))
(*.f64 1/48 re)
(*.f64 re 1/48)
(*.f64 1/48 re)
(*.f64 re 1/48)
(*.f64 1/48 re)
(*.f64 re 1/48)
(*.f64 1/48 re)
(*.f64 re 1/48)
(*.f64 1/48 re)
(*.f64 re 1/48)
(*.f64 1/48 re)
(*.f64 re 1/48)
(*.f64 1/48 re)
(*.f64 re 1/48)
(*.f64 1/48 re)
(*.f64 re 1/48)
(*.f64 1/48 re)
(*.f64 re 1/48)
(*.f64 1/48 re)
(*.f64 re 1/48)
(*.f64 1/48 re)
(*.f64 re 1/48)
(*.f64 1/48 re)
(*.f64 re 1/48)
(*.f64 1/8 re)
(*.f64 re 1/8)
(+.f64 (.f64 1/8 re) (.f64 1/48 (pow.f64 re 2)))
(fma.f64 1/8 re (.f64 1/48 (.f64 re re)))
(*.f64 re (fma.f64 re 1/48 1/8))
(+.f64 (.f64 1/8 re) (.f64 1/48 (pow.f64 re 2)))
(fma.f64 1/8 re (.f64 1/48 (.f64 re re)))
(*.f64 re (fma.f64 re 1/48 1/8))
(+.f64 (.f64 1/8 re) (.f64 1/48 (pow.f64 re 2)))
(fma.f64 1/8 re (.f64 1/48 (.f64 re re)))
(*.f64 re (fma.f64 re 1/48 1/8))
(*.f64 1/48 (pow.f64 re 2))
(.f64 1/48 (.f64 re re))
(.f64 re (.f64 re 1/48))
(+.f64 (.f64 1/8 re) (.f64 1/48 (pow.f64 re 2)))
(fma.f64 1/8 re (.f64 1/48 (.f64 re re)))
(*.f64 re (fma.f64 re 1/48 1/8))
(+.f64 (.f64 1/8 re) (.f64 1/48 (pow.f64 re 2)))
(fma.f64 1/8 re (.f64 1/48 (.f64 re re)))
(*.f64 re (fma.f64 re 1/48 1/8))
(+.f64 (.f64 1/8 re) (.f64 1/48 (pow.f64 re 2)))
(fma.f64 1/8 re (.f64 1/48 (.f64 re re)))
(*.f64 re (fma.f64 re 1/48 1/8))
(*.f64 1/48 (pow.f64 re 2))
(.f64 1/48 (.f64 re re))
(.f64 re (.f64 re 1/48))
(+.f64 (.f64 1/8 re) (.f64 1/48 (pow.f64 re 2)))
(fma.f64 1/8 re (.f64 1/48 (.f64 re re)))
(*.f64 re (fma.f64 re 1/48 1/8))
(+.f64 (.f64 1/8 re) (.f64 1/48 (pow.f64 re 2)))
(fma.f64 1/8 re (.f64 1/48 (.f64 re re)))
(*.f64 re (fma.f64 re 1/48 1/8))
(+.f64 (.f64 1/8 re) (.f64 1/48 (pow.f64 re 2)))
(fma.f64 1/8 re (.f64 1/48 (.f64 re re)))
(*.f64 re (fma.f64 re 1/48 1/8))

localize3.0ms (0%)

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

localize19.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	2.9b	(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))

Compiler

Compiled 44 to 27 computations (38.6% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	im	@	0	(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
0.0ms	re	@	-inf	(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
0.0ms	re	@	inf	(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
0.0ms	im	@	inf	(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
0.0ms	re	@	0	(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))

rewrite64.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`log-prod_binary64`
511×	`fma-def_binary64`
428×	`pow-prod-down_binary64`
306×	`pow2_binary64`
240×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	239	16
2	3310	14

Stop Event

1×	node limit

Counts

1 → 60

Calls

Call 1

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

Outputs

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

simplify123.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1184×	`distribute-rgt-in_binary64`
1070×	`distribute-lft-in_binary64`
852×	`*-commutative_binary64`
434×	`unswap-sqr_binary64`
236×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	474
1	111	472
2	370	420
3	1817	396
4	3603	396
5	4023	396
6	4718	396
7	4818	396
8	4926	396
9	5064	396
10	7604	396
11	7998	396

Stop Event

1×	node limit

Counts

84 → 78

Calls

Call 1

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

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

localize17.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) re)) (sin.f64 im))
✓	2.9b	(.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) re))

Compiler

Compiled 37 to 18 computations (51.4% saved)

series5.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	re	@	-inf	(.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) re))
1.0ms	im	@	0	(.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) re))
1.0ms	re	@	0	(.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) re))
1.0ms	re	@	inf	(.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) re))
0.0ms	im	@	0	(+.f64 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) re)) (sin.f64 im))

rewrite66.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

885×	`prod-diff_binary64`
464×	`log-prod_binary64`
307×	`pow-prod-down_binary64`
286×	`fma-def_binary64`
254×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	191	29
2	2492	29

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

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

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

simplify123.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

771×	`distribute-rgt-in_binary64`
729×	`distribute-lft-in_binary64`
562×	`fma-neg_binary64`
470×	`unswap-sqr_binary64`
417×	`fma-def_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	59	881
1	178	847
2	525	817
3	2244	767
4	3953	745
5	5861	745
6	6858	745
7	7240	745
8	7956	745

Stop Event

1×	node limit

Counts

136 → 117

Calls

Call 1

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

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

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) re)
✓	0.1b	(*.f64 re (fma.f64 re 1/6 1/2))
✓	0.1b	(fma.f64 re 1/6 1/2)
✓	1.9b	(fma.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) re) im im)

Compiler

Compiled 37 to 22 computations (40.5% saved)

series8.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	im	@	-inf	(fma.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) re) im im)
1.0ms	im	@	0	(fma.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) re) im im)
1.0ms	im	@	inf	(fma.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) re) im im)
0.0ms	re	@	0	(fma.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) re) im im)
0.0ms	re	@	inf	(fma.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) re) im im)

rewrite82.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

867×	`pow1_binary64`
801×	`add-log-exp_binary64`
801×	`log1p-expm1-u_binary64`
801×	`expm1-log1p-u_binary64`
785×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	41
1	183	41
2	2103	41

Stop Event

1×	node limit

Counts

4 → 80

Calls

Call 1

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

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

simplify200.0ms (3%)

Algorithm

1×	egg-herbie

Rules

894×	`fma-def_binary64`
561×	`associate-l_binary64`
454×	`associate-r_binary64`
408×	`cancel-sign-sub-inv_binary64`
392×	`distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	816
1	135	666
2	349	597
3	1058	597
4	4347	597

Stop Event

1×	node limit

Counts

140 → 115

Calls

Call 1

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

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

eval317.0ms (4.7%)

Compiler: Compiled 10254 to 5927 computations (42.2% saved)

prune193.0ms (2.9%)

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	502	3	505
Fresh	1	1	2
Picked	1	0	1
Done	1	10	11
Total	505	14	519

Error

Counts

519 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	41.5b	(fma.f64 (fma.f64 re (.f64 re (+.f64 (.f64 re 1/6) 1/2)) re) im im)
✓	21.6b	(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re)))))
✓	21.7b	(log1p.f64 (expm1.f64 (sin.f64 im)))
	41.3b	im
✓	21.7b	(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
✓	19.9b	(*.f64 (exp.f64 re) im)
✓	61.5b	(*.f64 re im)
	36.6b	(.f64 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re)))) im) (sqrt.f64 (exp.f64 re)))
✓	41.4b	(+.f64 (*.f64 re im) im)
✓	21.6b	(*.f64 (sin.f64 im) (+.f64 re 1))
✓	21.6b	(sin.f64 im)
✓	21.7b	(+.f64 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) re)) (sin.f64 im))
	19.9b	(.f64 (.f64 (sqrt.f64 (exp.f64 re)) im) (sqrt.f64 (exp.f64 re)))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 139 to 94 computations (32.4% saved)

regimes106.0ms (1.6%)

Counts

24 → 1

Calls

Call 1

Inputs
im
im
im
(*.f64 re im)
(+.f64 (*.f64 re im) im)
(sin.f64 im)
(*.f64 (exp.f64 re) im)
(*.f64 (sin.f64 im) (+.f64 re 1))
(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 re (*.f64 re 1/2))))
(.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (.f64 1/6 re)))))
(*.f64 (exp.f64 re) (sin.f64 im))
(fma.f64 (fma.f64 re (.f64 re (+.f64 (.f64 re 1/6) 1/2)) re) im im)
(.f64 (.f64 (+.f64 1 (.f64 re (+.f64 1/2 (.f64 (+.f64 (*.f64 1/48 re) 1/8) re)))) im) (sqrt.f64 (exp.f64 re)))
(log1p.f64 (expm1.f64 (sin.f64 im)))
(fma.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) re) im im)
(+.f64 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) re)) (sin.f64 im))
(.f64 (.f64 (sin.f64 im) (+.f64 1 (.f64 re (+.f64 1/2 (.f64 re (+.f64 1/8 (*.f64 re 1/48))))))) (sqrt.f64 (exp.f64 re)))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(.f64 (.f64 (sqrt.f64 (exp.f64 re)) im) (sqrt.f64 (exp.f64 re)))
(fma.f64 (sin.f64 im) (fma.f64 re (*.f64 re 1/2) re) (sin.f64 im))
(fma.f64 im (fma.f64 1/6 (pow.f64 re 3) (*.f64 re (fma.f64 re 1/2 1))) im)
(.f64 (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) (sqrt.f64 (exp.f64 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))))))

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

Calls

5 calls:

29.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
24.0ms	(sin.f64 im)
20.0ms	im
13.0ms	re
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 247 to 128 computations (48.2% saved)

regimes161.0ms (2.4%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

6 calls:

55.0ms	(sin.f64 im)
30.0ms	(sin.f64 im)
19.0ms	im
12.0ms	re
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.2b	2	`re`
9.4b	3	`im`
0.2b	2	`(exp.f64 re)`
0.2b	2	`(exp.f64 re)`
8.0b	5	`(sin.f64 im)`
8.0b	5	`(sin.f64 im)`

Compiler

Compiled 87 to 50 computations (42.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9894649043976447	0.9981476290760507

Compiler

Compiled 12 to 9 computations (25% saved)

regimes169.0ms (2.5%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

6 calls:

64.0ms	(sin.f64 im)
38.0ms	im
28.0ms	(sin.f64 im)
22.0ms	re
7.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.4b	2	`re`
9.4b	3	`im`
0.4b	2	`(exp.f64 re)`
0.4b	2	`(exp.f64 re)`
8.1b	5	`(sin.f64 im)`
8.1b	5	`(sin.f64 im)`

Compiler

Compiled 71 to 40 computations (43.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9894649043976447	0.9981476290760507

Compiler

Compiled 12 to 9 computations (25% saved)

regimes222.0ms (3.3%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

6 calls:

123.0ms	re
58.0ms	(sin.f64 im)
17.0ms	im
15.0ms	(sin.f64 im)
3.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.5b	2	`re`
9.4b	3	`im`
0.5b	2	`(exp.f64 re)`
0.5b	2	`(exp.f64 re)`
9.1b	3	`(sin.f64 im)`
9.1b	3	`(sin.f64 im)`

Compiler

Compiled 47 to 26 computations (44.7% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9894649043976447	0.9981476290760507

Compiler

Compiled 12 to 9 computations (25% saved)

regimes47.0ms (0.7%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	(sin.f64 im)
16.0ms	im
10.0ms	re
3.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.9b	2	`re`
9.6b	3	`im`
0.9b	2	`(exp.f64 re)`
9.2b	3	`(sin.f64 im)`

Compiler

Compiled 33 to 17 computations (48.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9894649043976447	0.9981476290760507

Compiler

Compiled 12 to 9 computations (25% saved)

regimes20.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(sin.f64 im)

Calls

3 calls:

8.0ms	(sin.f64 im)
5.0ms	im
5.0ms	re

Results

Error	Segments	Branch
21.6b	1	`re`
21.6b	1	`im`
21.6b	1	`(sin.f64 im)`

Compiler

Compiled 25 to 12 computations (52% saved)

regimes46.0ms (0.7%)

Accuracy

Total -20.6b remaining (-49.9%)

Threshold costs -20.6b (-49.9%)

Counts

5 → 1

Calls

Call 1

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

Outputs
im

Calls

2 calls:

41.0ms	im
4.0ms	re

Results

Error	Segments	Branch
41.3b	1	`re`
41.3b	1	`im`

Compiler

Compiled 19 to 8 computations (57.9% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
5×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	122
1	47	122

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 18262276632972455936/18446744073709551616) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (*.f64 1/6 re))))))
(if (<=.f64 (exp.f64 re) 18262276632972455936/18446744073709551616) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (.f64 re 1/2))))))
(if (<=.f64 (exp.f64 re) 18262276632972455936/18446744073709551616) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 18262276632972455936/18446744073709551616) (*.f64 (exp.f64 re) im) (sin.f64 im))
(sin.f64 im)
im

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 18262276632972455936/18446744073709551616) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 (+.f64 1 re) (.f64 (.f64 re re) (+.f64 1/2 (*.f64 1/6 re))))))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 1/2 (*.f64 re 1/6))) (+.f64 re 1))))
(if (<=.f64 (exp.f64 re) 18262276632972455936/18446744073709551616) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (.f64 re 1/2))))))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (.f64 re 1/2))))))
(if (<=.f64 (exp.f64 re) 18262276632972455936/18446744073709551616) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 18262276632972455936/18446744073709551616) (*.f64 (exp.f64 re) im) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (*.f64 (exp.f64 re) im) (sin.f64 im))
(sin.f64 im)
im

Compiler

Compiled 94 to 62 computations (34% saved)

soundness0.0ms (0%)

end97.0ms (1.4%)

Compiler: Compiled 82 to 38 computations (53.7% saved)