Details

analyze58.0ms (0.8%)

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)

sample2.8s (39.3%)

Results

1.3s	6194×	body	256	valid
804.0ms	1386×	body	1024	valid
254.0ms	678×	body	1024	invalid
184.0ms	673×	body	512	valid
93.0ms	514×	body	256	invalid
77.0ms	333×	body	512	invalid
2.0ms	3×	body	2048	valid

preprocess19.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series5.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	im	@	0	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	re	@	inf	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	re	@	0	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	im	@	inf	(*.f64 (exp.f64 re) (sin.f64 im))
0.0ms	re	@	-inf	(*.f64 (exp.f64 re) (sin.f64 im))

rewrite47.0ms (0.7%)

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))))))))

simplify141.0ms (2%)

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
	19.5b	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
▶	22.8b	(sin.f64 im)
▶	0.9b	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	22.8b	(*.f64 (sin.f64 im) (+.f64 re 1))
▶	22.8b	(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
▶	19.4b	(*.f64 (exp.f64 re) im)

Compiler

Compiled 103 to 75 computations (27.2% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	0.4b	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)

Compiler

Compiled 28 to 9 computations (67.9% saved)

series37.0ms (0.5%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
20.0ms	re	@	inf	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
4.0ms	re	@	0	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
4.0ms	im	@	inf	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
2.0ms	re	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
2.0ms	im	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)

rewrite100.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`pow1_binary64`
657×	`add-log-exp_binary64`
657×	`log1p-expm1-u_binary64`
657×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	182	18
2	1847	18

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

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

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

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Rules

731×	`associate-l_binary64`
705×	`associate-r_binary64`
678×	`fma-def_binary64`
291×	`*-commutative_binary64`
284×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	1344
1	360	1299
2	1206	1267
3	6620	1261

Stop Event

1×	node limit

Counts

94 → 74

Calls

Call 1

Inputs
(*.f64 (sin.f64 im) (pow.f64 1 1/3))
(+.f64 (.f64 (sin.f64 im) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 2/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 13) 1) 1/9)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 13) 1) 1/9))) re))
(+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 2/9 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9)) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 1 1/3))) (.f64 (pow.f64 (.f64 (sin.f64 im) 1) 1/3) (+.f64 (.f64 1/9 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 14) 1) 1/9)) (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 (/.f64 1 (sin.f64 im)) 1/3)))))))) (+.f64 (.f64 (sin.f64 im) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 2/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 13) 1) 1/9)) (.f64 1/3 (pow.f64 (*.f64 (pow.f64 (sin.f64 im) 13) 1) 1/9))) re)))
(+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 2/9 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9)) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 1 1/3))) (.f64 (pow.f64 (.f64 (sin.f64 im) 1) 1/3) (+.f64 (.f64 1/9 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 14) 1) 1/9)) (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 (/.f64 1 (sin.f64 im)) 1/3)))))))) (+.f64 (.f64 (sin.f64 im) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 im) 1) 1/3) (+.f64 (.f64 2/9 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 (.f64 (sin.f64 im) 1) 1/9))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 im)) 1/3) (-.f64 (.f64 1/6 (sin.f64 im)) (+.f64 (.f64 1/27 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 7) 1) 1/3)) (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 (.f64 (pow.f64 (sin.f64 im) 4) 1) 1/9))))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 7) 1) 1/9) (+.f64 (.f64 1/9 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 14) 1) 1/9)) (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 (/.f64 1 (sin.f64 im)) 1/3)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/6 (sin.f64 im)) (+.f64 (.f64 1/27 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 7) 1) 1/3)) (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 (.f64 (pow.f64 (sin.f64 im) 4) 1) 1/9))))))) (.f64 2/9 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 (.f64 (pow.f64 (sin.f64 im) 4) 1) 1/9)))))) (pow.f64 re 3)) (.f64 (+.f64 (.f64 2/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 13) 1) 1/9)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 13) 1) 1/9))) re))))
(.f64 (.f64 (sin.f64 im) (exp.f64 re)) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 im) (exp.f64 re)) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 im) (exp.f64 re)) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 im) (exp.f64 re)) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 im) (exp.f64 re)) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 im) (exp.f64 re)) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 im) (exp.f64 re)) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 im) (exp.f64 re)) (pow.f64 1 1/3))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 im) (exp.f64 re)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 im) (exp.f64 re)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 im) (exp.f64 re)))
(.f64 (pow.f64 1 1/3) (.f64 (sin.f64 im) (exp.f64 re)))
(.f64 (.f64 (sin.f64 im) (exp.f64 re)) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 im) (exp.f64 re)) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 im) (exp.f64 re)) (pow.f64 1 1/3))
(.f64 (.f64 (sin.f64 im) (exp.f64 re)) (pow.f64 1 1/3))
(pow.f64 (sin.f64 im) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 im) 7) 1) 1/9) re)) (pow.f64 (sin.f64 im) 1/3))
(+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 re 2)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 im) 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 im) 7) 1) 1/9) re)) (pow.f64 (sin.f64 im) 1/3)))
(+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 re 2)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 im) 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 im) 2)) 1/3) (.f64 (-.f64 (.f64 1/6 (sin.f64 im)) (+.f64 (.f64 1/27 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 7) 1) 1/3)) (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 (.f64 (pow.f64 (sin.f64 im) 4) 1) 1/9))))) (pow.f64 re 3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 im) 7) 1) 1/9) re)) (pow.f64 (sin.f64 im) 1/3))))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)

Outputs
(*.f64 (sin.f64 im) (pow.f64 1 1/3))
(sin.f64 im)
(+.f64 (.f64 (sin.f64 im) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 2/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 13) 1) 1/9)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 13) 1) 1/9))) re))
(+.f64 (sin.f64 im) (.f64 (.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18)) 1) re))
(fma.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18)) re (sin.f64 im))
(+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 2/9 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9)) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 1 1/3))) (.f64 (pow.f64 (.f64 (sin.f64 im) 1) 1/3) (+.f64 (.f64 1/9 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 14) 1) 1/9)) (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 (/.f64 1 (sin.f64 im)) 1/3)))))))) (+.f64 (.f64 (sin.f64 im) (pow.f64 1 1/3)) (.f64 (+.f64 (.f64 2/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 13) 1) 1/9)) (.f64 1/3 (pow.f64 (*.f64 (pow.f64 (sin.f64 im) 13) 1) 1/9))) re)))
(fma.f64 (.f64 re re) (fma.f64 2/9 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18)) (fma.f64 1/3 (.f64 1 (+.f64 (.f64 (sin.f64 im) 1/2) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18))))) (.f64 (cbrt.f64 (sin.f64 im)) (fma.f64 1/9 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 14) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 14) 1/18)) (.f64 (.f64 2/3 (+.f64 (.f64 (sin.f64 im) 1/2) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18))))) (cbrt.f64 (/.f64 1 (sin.f64 im)))))))) (+.f64 (sin.f64 im) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18)) 1) re)))
(fma.f64 (.f64 re re) (fma.f64 2/9 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18)) (fma.f64 (cbrt.f64 (sin.f64 im)) (fma.f64 2/3 (.f64 (fma.f64 (sin.f64 im) 1/2 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18)) -1/3)) (cbrt.f64 (/.f64 1 (sin.f64 im)))) (.f64 1/9 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 14) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 14) 1/18)))) (.f64 1/3 (fma.f64 (sin.f64 im) 1/2 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18)) -1/3))))) (fma.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18)) re (sin.f64 im)))
(fma.f64 (.f64 re re) (fma.f64 2/9 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18)) (fma.f64 (cbrt.f64 (sin.f64 im)) (fma.f64 1/9 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 14) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 14) 1/18)) (.f64 (cbrt.f64 (/.f64 1 (sin.f64 im))) (+.f64 (.f64 (sin.f64 im) 1/3) (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18)) -2/9)))) (+.f64 (.f64 (sin.f64 im) 1/6) (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18)) -1/9)))) (fma.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18)) re (sin.f64 im)))
(+.f64 (.f64 (pow.f64 re 2) (+.f64 (.f64 2/9 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9)) (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 1 1/3))) (.f64 (pow.f64 (.f64 (sin.f64 im) 1) 1/3) (+.f64 (.f64 1/9 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 14) 1) 1/9)) (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 (/.f64 1 (sin.f64 im)) 1/3)))))))) (+.f64 (.f64 (sin.f64 im) (pow.f64 1 1/3)) (+.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 (sin.f64 im) 1) 1/3) (+.f64 (.f64 2/9 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 (.f64 (sin.f64 im) 1) 1/9))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (sin.f64 im)) 1/3) (-.f64 (.f64 1/6 (sin.f64 im)) (+.f64 (.f64 1/27 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 7) 1) 1/3)) (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 (.f64 (pow.f64 (sin.f64 im) 4) 1) 1/9))))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 7) 1) 1/9) (+.f64 (.f64 1/9 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 14) 1) 1/9)) (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 (/.f64 1 (sin.f64 im)) 1/3)))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/6 (sin.f64 im)) (+.f64 (.f64 1/27 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 7) 1) 1/3)) (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 (.f64 (pow.f64 (sin.f64 im) 4) 1) 1/9))))))) (.f64 2/9 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 (.f64 (pow.f64 (sin.f64 im) 4) 1) 1/9)))))) (pow.f64 re 3)) (.f64 (+.f64 (.f64 2/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 13) 1) 1/9)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 13) 1) 1/9))) re))))
(fma.f64 (.f64 re re) (fma.f64 2/9 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18)) (fma.f64 1/3 (.f64 1 (+.f64 (.f64 (sin.f64 im) 1/2) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18))))) (.f64 (cbrt.f64 (sin.f64 im)) (fma.f64 1/9 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 14) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 14) 1/18)) (.f64 (.f64 2/3 (+.f64 (.f64 (sin.f64 im) 1/2) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18))))) (cbrt.f64 (/.f64 1 (sin.f64 im)))))))) (+.f64 (sin.f64 im) (fma.f64 (fma.f64 (cbrt.f64 (sin.f64 im)) (fma.f64 2/9 (.f64 (+.f64 (.f64 (sin.f64 im) 1/2) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18)))) (.f64 (pow.f64 (sin.f64 im) 1/18) (pow.f64 (sin.f64 im) 1/18))) (.f64 (.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 im)))) (-.f64 (.f64 (sin.f64 im) 1/6) (fma.f64 1/27 (cbrt.f64 (pow.f64 (sin.f64 im) 7)) (.f64 2/3 (.f64 (+.f64 (.f64 (sin.f64 im) 1/2) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18)))) (.f64 (pow.f64 (pow.f64 (sin.f64 im) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 4) 1/18)))))))) (fma.f64 1/3 (.f64 (fma.f64 1/9 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 14) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 14) 1/18)) (.f64 (.f64 2/3 (+.f64 (.f64 (sin.f64 im) 1/2) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18))))) (cbrt.f64 (/.f64 1 (sin.f64 im))))) (.f64 (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18))) (+.f64 (.f64 1/3 (-.f64 (.f64 (sin.f64 im) 1/6) (fma.f64 1/27 (cbrt.f64 (pow.f64 (sin.f64 im) 7)) (.f64 2/3 (.f64 (+.f64 (.f64 (sin.f64 im) 1/2) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18)))) (.f64 (pow.f64 (pow.f64 (sin.f64 im) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 4) 1/18))))))) (.f64 2/9 (.f64 (+.f64 (.f64 (sin.f64 im) 1/2) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18)))) (.f64 (pow.f64 (pow.f64 (sin.f64 im) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 4) 1/18))))))) (pow.f64 re 3) (.f64 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18)) 1) re))))
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(fma.f64 1/3 (.f64 (.f64 re re) (.f64 (fma.f64 (sin.f64 im) 1/2 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18)) -1/3)) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 im) 2))))) (fma.f64 1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18) (*.f64 (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18) re)) (cbrt.f64 (sin.f64 im))))
(fma.f64 1/3 (fma.f64 (fma.f64 (sin.f64 im) 1/2 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) -1/3))) (.f64 (.f64 re re) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 im) 2)))) (.f64 re (.f64 (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18)))) (cbrt.f64 (sin.f64 im)))
(+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 re 2)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 im) 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 im) 2)) 1/3) (.f64 (-.f64 (.f64 1/6 (sin.f64 im)) (+.f64 (.f64 1/27 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 7) 1) 1/3)) (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (sin.f64 im)) (.f64 1/3 (pow.f64 (.f64 (pow.f64 (sin.f64 im) 17) 1) 1/9))) (pow.f64 (.f64 (pow.f64 (sin.f64 im) 4) 1) 1/9))))) (pow.f64 re 3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 im) 7) 1) 1/9) re)) (pow.f64 (sin.f64 im) 1/3))))
(fma.f64 1/3 (.f64 (+.f64 (.f64 (sin.f64 im) 1/2) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18)))) (.f64 (.f64 re re) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 im) 2))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 im) 2))) (.f64 (-.f64 (.f64 (sin.f64 im) 1/6) (fma.f64 1/27 (cbrt.f64 (pow.f64 (sin.f64 im) 7)) (.f64 2/3 (.f64 (+.f64 (.f64 (sin.f64 im) 1/2) (.f64 -1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18)))) (.f64 (pow.f64 (pow.f64 (sin.f64 im) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 4) 1/18)))))) (pow.f64 re 3))) (fma.f64 1/3 (.f64 re (*.f64 (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18))) (cbrt.f64 (sin.f64 im)))))
(fma.f64 1/3 (.f64 (.f64 re re) (.f64 (fma.f64 (sin.f64 im) 1/2 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18)) -1/3)) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 im) 2))))) (fma.f64 1/3 (.f64 (-.f64 (.f64 (sin.f64 im) 1/6) (fma.f64 2/3 (.f64 (fma.f64 (sin.f64 im) 1/2 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18)) -1/3)) (.f64 (pow.f64 (pow.f64 (sin.f64 im) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 4) 1/18))) (.f64 1/27 (cbrt.f64 (pow.f64 (sin.f64 im) 7))))) (.f64 (pow.f64 re 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 im) 2))))) (fma.f64 1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18) (*.f64 (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18) re)) (cbrt.f64 (sin.f64 im)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 im) 2))) (+.f64 (.f64 (.f64 re re) (fma.f64 (sin.f64 im) 1/2 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) -1/3)))) (.f64 (-.f64 (fma.f64 (sin.f64 im) 1/6 (.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 7)) -1/27)) (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 4) 1/18)) (+.f64 (.f64 (sin.f64 im) 1/3) (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18)) -2/9)))) (pow.f64 re 3)))) (fma.f64 1/3 (.f64 re (.f64 (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18))) (cbrt.f64 (sin.f64 im))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 im) 2))) (+.f64 (.f64 (.f64 re re) (fma.f64 (sin.f64 im) 1/2 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) -1/3)))) (.f64 (fma.f64 (sin.f64 im) 1/6 (fma.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 7)) -1/27 (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 4) 1/18)) (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 17) 1/18))) (.f64 (sin.f64 im) -1/3))))) (pow.f64 re 3)))) (fma.f64 1/3 (.f64 re (*.f64 (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18))) (cbrt.f64 (sin.f64 im))))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))

localize6.0ms (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	im	@	-inf	(*.f64 (exp.f64 re) im)
0.0ms	re	@	0	(*.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)

rewrite37.0ms (0.5%)

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)))))))

simplify125.0ms (1.8%)

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))

rewrite53.0ms (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))))))

simplify155.0ms (2.2%)

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))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
✓	0.1b	(*.f64 (sin.f64 im) re)

Compiler

Compiled 17 to 5 computations (70.6% saved)

series5.0ms (0.1%)

Counts

2 → 11

Calls

12 calls:

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

rewrite75.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`pow1_binary64`
666×	`add-log-exp_binary64`
666×	`log1p-expm1-u_binary64`
666×	`expm1-log1p-u_binary64`
651×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	128	15
2	1791	15

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

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

simplify152.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

686×	`*-commutative_binary64`
636×	`+-commutative_binary64`
482×	`distribute-lft-out_binary64`
458×	`associate-+l+_binary64`
453×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	185
1	119	185
2	302	174
3	1131	171
4	3202	165
5	4344	165
6	5073	165
7	5869	165
8	6030	165
9	6218	165
10	6789	165
11	7243	165

Stop Event

1×	node limit

Counts

60 → 67

Calls

Call 1

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

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

eval145.0ms (2.1%)

Compiler: Compiled 3879 to 2155 computations (44.4% saved)

prune39.0ms (0.6%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	222	4	226
Fresh	1	0	1
Picked	0	1	1
Done	0	5	5
Total	223	10	233

Error

Counts

233 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	42.1b	(*.f64 (+.f64 1 re) im)
▶	19.5b	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
✓	19.4b	(*.f64 (exp.f64 re) im)
✓	0.9b	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
✓	22.8b	(*.f64 (sin.f64 im) (+.f64 re 1))
✓	22.8b	(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
✓	22.8b	(sin.f64 im)
	41.7b	im
▶	23.0b	(/.f64 (*.f64 (fma.f64 re re -1) (sin.f64 im)) (+.f64 re -1))

Compiler

Compiled 78 to 56 computations (28.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite78.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify28.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

31 → 23

Calls

Call 1

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

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

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	0.3b	(+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im)))
✓	2.3b	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)

Compiler

Compiled 30 to 12 computations (60% saved)

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	re	@	inf	(+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im)))
0.0ms	re	@	0	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
0.0ms	re	@	0	(+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im)))
0.0ms	im	@	0	(+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im)))
0.0ms	im	@	0	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)

rewrite70.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`pow1_binary64`
844×	`add-log-exp_binary64`
844×	`log1p-expm1-u_binary64`
844×	`expm1-log1p-u_binary64`
828×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	189	17
2	2553	17

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

simplify112.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

828×	`distribute-lft-out_binary64`
569×	`unswap-sqr_binary64`
547×	`distribute-rgt-in_binary64`
397×	`associate-l_binary64`
337×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	620
1	157	578
2	417	544
3	1208	521
4	2531	521
5	3397	521
6	5594	521
7	6696	521
8	7475	521

Stop Event

1×	node limit

Counts

131 → 114

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

localize38.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.9b	(*.f64 (fma.f64 re re -1) (sin.f64 im))
✓	8.1b	(/.f64 (*.f64 (fma.f64 re re -1) (sin.f64 im)) (+.f64 re -1))

Compiler

Compiled 32 to 17 computations (46.9% saved)

series14.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite105.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

139 → 120

Calls

Call 1

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

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

eval272.0ms (3.9%)

Compiler: Compiled 4109 to 2399 computations (41.6% saved)

prune137.0ms (2%)

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	278	6	284
Fresh	0	1	1
Picked	1	0	1
Done	1	7	8
Total	280	14	294

Error

Counts

294 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	61.5b	(*.f64 re im)
✓	42.1b	(*.f64 (+.f64 1 re) im)
▶	39.0b	(-.f64 1 1)
✓	22.8b	(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
▶	15.5b	(/.f64 (neg.f64 (sin.f64 im)) (+.f64 re -1))
✓	22.8b	(sin.f64 im)
	40.2b	(-.f64 (+.f64 (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))) 1) 1)
	41.7b	im
✓	0.9b	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
✓	22.8b	(*.f64 (sin.f64 im) (+.f64 re 1))
▶	23.1b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
▶	23.0b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))
✓	19.5b	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)

Compiler

Compiled 205 to 153 computations (25.4% saved)

localize21.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (neg.f64 (sin.f64 im)) (+.f64 re -1))

Compiler

Compiled 20 to 10 computations (50% saved)

series20.0ms (0.3%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
13.0ms	re	@	-inf	(/.f64 (neg.f64 (sin.f64 im)) (+.f64 re -1))
2.0ms	im	@	inf	(/.f64 (neg.f64 (sin.f64 im)) (+.f64 re -1))
2.0ms	im	@	0	(/.f64 (neg.f64 (sin.f64 im)) (+.f64 re -1))
2.0ms	im	@	-inf	(/.f64 (neg.f64 (sin.f64 im)) (+.f64 re -1))
1.0ms	re	@	inf	(/.f64 (neg.f64 (sin.f64 im)) (+.f64 re -1))

rewrite74.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

839×	`pow1_binary64`
779×	`add-log-exp_binary64`
777×	`log1p-expm1-u_binary64`
777×	`expm1-log1p-u_binary64`
764×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	173	9
2	2440	9

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify89.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

627×	`fma-def_binary64`
443×	`sub-neg_binary64`
324×	`distribute-rgt-out_binary64`
307×	`fma-neg_binary64`
285×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	468
1	166	449
2	440	418
3	1308	395
4	5178	389

Stop Event

1×	node limit

Counts

62 → 63

Calls

Call 1

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

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

localize11.0ms (0.2%)

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

localize7.0ms (0.1%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize38.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 40 to 21 computations (47.5% saved)

series11.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

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

rewrite162.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`log-prod_binary64`
546×	`fma-def_binary64`
450×	`pow-prod-down_binary64`
308×	`pow2_binary64`
281×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	242	34
2	3411	34

Stop Event

1×	node limit

Counts

3 → 167

Calls

Call 1

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

Outputs

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

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

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

simplify138.0ms (2%)

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	659
1	114	657
2	372	605
3	1790	581
4	3573	581
5	3993	581
6	4688	581
7	4788	581
8	4896	581
9	5034	581
10	7562	581
11	7944	581

Stop Event

1×	node limit

Counts

215 → 194

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))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (pow.f64 re 2))
(*.f64 1/2 (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 (.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))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))
(*.f64 1/2 (pow.f64 re 2))
(.f64 1/2 (.f64 re re))

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (*.f64 re 1/6))))
✓	0.1b	(.f64 (.f64 re re) (+.f64 1/2 (*.f64 re 1/6)))
✓	0.3b	(*.f64 re 1/6)
✓	1.4b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))

Compiler

Compiled 61 to 37 computations (39.3% saved)

series9.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

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

rewrite95.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`log-prod_binary64`
741×	`fma-def_binary64`
354×	`fma-neg_binary64`
272×	`log1p-udef_binary64`
270×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	60
1	319	50
2	4634	50

Stop Event

1×	node limit

Counts

4 → 235

Calls

Call 1

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

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

simplify173.0ms (2.5%)

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	984
1	176	892
2	542	781
3	3003	751
4	3600	751
5	4091	751
6	4676	751
7	4812	751
8	4948	751
9	5606	751
10	5838	751
11	6147	751
12	7803	751

Stop Event

1×	node limit

Counts

295 → 273

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 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/2 (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 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.f64 1/6 re)
(*.f64 re 1/6)
(*.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))

eval241.0ms (3.4%)

Compiler: Compiled 10321 to 6421 computations (37.8% saved)

prune80.0ms (1.1%)

Pruning

15 alts after pruning (3 fresh and 12 done)

	Pruned	Kept	Total
New	529	1	530
Fresh	0	2	2
Picked	0	1	1
Done	0	11	11
Total	529	15	544

Error

Counts

544 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	61.5b	(*.f64 re im)
✓	42.1b	(*.f64 (+.f64 1 re) im)
✓	39.0b	(-.f64 1 1)
✓	22.8b	(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
	15.5b	(*.f64 (sin.f64 im) (/.f64 1 (+.f64 1 (neg.f64 re))))
✓	15.5b	(/.f64 (neg.f64 (sin.f64 im)) (+.f64 re -1))
✓	22.8b	(sin.f64 im)
	40.2b	(-.f64 (+.f64 (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))) 1) 1)
	41.7b	im
✓	0.9b	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
✓	22.8b	(*.f64 (sin.f64 im) (+.f64 re 1))
✓	23.1b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
✓	23.0b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re))))
✓	19.5b	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)

Compiler

Compiled 143 to 107 computations (25.2% saved)

regimes42.0ms (0.6%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	(sin.f64 im)
10.0ms	im
9.0ms	re
7.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
2.0ms	(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 160 to 89 computations (44.4% saved)

regimes119.0ms (1.7%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

6 calls:

33.0ms	im
25.0ms	(sin.f64 im)
25.0ms	(sin.f64 im)
18.0ms	re
10.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.1b	2	`re`
8.2b	3	`im`
0.1b	2	`(exp.f64 re)`
0.1b	2	`(exp.f64 re)`
7.9b	3	`(sin.f64 im)`
7.9b	3	`(sin.f64 im)`

Compiler

Compiled 112 to 70 computations (37.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.996585064884397

Compiler

Compiled 12 to 9 computations (25% saved)

regimes97.0ms (1.4%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

6 calls:

26.0ms	(sin.f64 im)
25.0ms	im
24.0ms	(sin.f64 im)
13.0ms	re
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.1b	2	`re`
8.2b	3	`im`
0.1b	2	`(exp.f64 re)`
0.1b	2	`(exp.f64 re)`
7.9b	3	`(sin.f64 im)`
7.9b	3	`(sin.f64 im)`

Compiler

Compiled 76 to 48 computations (36.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.996585064884397

Compiler

Compiled 12 to 9 computations (25% saved)

regimes89.0ms (1.3%)

Counts

9 → 2

Calls

Call 1

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

Outputs
(-.f64 1 1)
(/.f64 (neg.f64 (sin.f64 im)) (+.f64 re -1))

Calls

6 calls:

24.0ms	im
23.0ms	(sin.f64 im)
22.0ms	(sin.f64 im)
11.0ms	re
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.2b	2	`re`
8.2b	3	`im`
0.2b	2	`(exp.f64 re)`
0.2b	2	`(exp.f64 re)`
7.9b	3	`(sin.f64 im)`
7.9b	3	`(sin.f64 im)`

Compiler

Compiled 64 to 41 computations (35.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.996585064884397

Compiler

Compiled 12 to 9 computations (25% saved)

regimes73.0ms (1%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

6 calls:

19.0ms	(sin.f64 im)
18.0ms	im
18.0ms	(sin.f64 im)
11.0ms	re
3.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.2b	2	`re`
8.5b	3	`im`
0.2b	2	`(exp.f64 re)`
0.2b	2	`(exp.f64 re)`
8.1b	3	`(sin.f64 im)`
8.1b	3	`(sin.f64 im)`

Compiler

Compiled 48 to 31 computations (35.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.996585064884397

Compiler

Compiled 12 to 9 computations (25% saved)

regimes224.0ms (3.2%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

5 calls:

139.0ms	re
28.0ms	(exp.f64 re)
19.0ms	(sin.f64 im)
19.0ms	(sin.f64 im)
17.0ms	im

Results

Error	Segments	Branch
0.6b	2	`re`
8.8b	3	`im`
0.6b	2	`(exp.f64 re)`
8.4b	3	`(sin.f64 im)`
8.4b	3	`(sin.f64 im)`

Compiler

Compiled 38 to 25 computations (34.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	0.996585064884397

Compiler

Compiled 12 to 9 computations (25% saved)

regimes27.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

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

Outputs
(-.f64 1 1)
im

Calls

2 calls:

18.0ms	im
8.0ms	re

Results

Error	Segments	Branch
19.4b	2	`re`
31.5b	5	`im`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch44.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
44.0ms	-0.003420779315360097	-5.282277699154003e-12

Compiler

Compiled 12 to 9 computations (25% saved)

regimes8.0ms (0.1%)

Accuracy

Total -20.1b remaining (-48.3%)

Threshold costs -20.1b (-48.3%)

Counts

2 → 1

Calls

Call 1

Inputs
im
(*.f64 re im)

Outputs
im

Calls

2 calls:

3.0ms	im
3.0ms	re

Results

Error	Segments	Branch
41.7b	1	`re`
41.7b	1	`im`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	127
1	53	127
2	57	127
3	60	127
4	61	127

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re)))))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (/.f64 (neg.f64 (sin.f64 im)) (+.f64 re -1)))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (*.f64 (sin.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (sin.f64 im))
(if (<=.f64 re -63102240563087088/18446744073709551616) (-.f64 1 1) im)
im

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))))
(if (<=.f64 (exp.f64 re) 0) 0 (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))))))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 1/2 (*.f64 re re)))))
(if (<=.f64 (exp.f64 re) 0) 0 (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (*.f64 re re) 1/2))))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (/.f64 (neg.f64 (sin.f64 im)) (+.f64 re -1)))
(if (<=.f64 (exp.f64 re) 0) 0 (neg.f64 (/.f64 (sin.f64 im) (+.f64 re -1))))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (*.f64 (sin.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 0) 0 (*.f64 (sin.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 0) (-.f64 1 1) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 0) 0 (sin.f64 im))
(if (<=.f64 re -63102240563087088/18446744073709551616) (-.f64 1 1) im)
(if (<=.f64 re -3943890035192943/1152921504606846976) 0 im)
im

Compiler

Compiled 101 to 77 computations (23.8% saved)

soundness0.0ms (0%)

end55.0ms (0.8%)

Compiler: Compiled 87 to 52 computations (40.2% saved)

Details

analyze58.0ms (0.8%)

sample2.8s (39.3%)

preprocess19.0ms (0.3%)

simplify7.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series5.0ms (0.1%)

rewrite47.0ms (0.7%)

simplify141.0ms (2%)

eval6.0ms (0.1%)

prune9.0ms (0.1%)

localize11.0ms (0.2%)

series37.0ms (0.5%)

rewrite100.0ms (1.4%)

simplify70.0ms (1%)

localize6.0ms (0.1%)

localize4.0ms (0.1%)

series3.0ms (0%)

rewrite37.0ms (0.5%)

simplify125.0ms (1.8%)

localize8.0ms (0.1%)

series3.0ms (0%)

rewrite53.0ms (0.8%)

simplify155.0ms (2.2%)

localize8.0ms (0.1%)

series5.0ms (0.1%)

rewrite75.0ms (1.1%)

simplify152.0ms (2.2%)

eval145.0ms (2.1%)

prune39.0ms (0.6%)

localize5.0ms (0.1%)

series3.0ms (0%)

rewrite78.0ms (1.1%)

simplify28.0ms (0.4%)

localize11.0ms (0.2%)

series7.0ms (0.1%)

rewrite70.0ms (1%)

simplify112.0ms (1.6%)

localize38.0ms (0.5%)

series14.0ms (0.2%)

rewrite105.0ms (1.5%)

simplify67.0ms (0.9%)

eval272.0ms (3.9%)

prune137.0ms (2%)

localize21.0ms (0.3%)

series20.0ms (0.3%)

rewrite74.0ms (1%)

simplify89.0ms (1.3%)

localize11.0ms (0.2%)

localize7.0ms (0.1%)

localize38.0ms (0.5%)

series11.0ms (0.2%)

rewrite162.0ms (2.3%)

simplify138.0ms (2%)

localize24.0ms (0.3%)

series9.0ms (0.1%)

rewrite95.0ms (1.4%)

simplify173.0ms (2.5%)

eval241.0ms (3.4%)

prune80.0ms (1.1%)

regimes42.0ms (0.6%)

regimes119.0ms (1.7%)

bsearch0.0ms (0%)

regimes97.0ms (1.4%)

bsearch0.0ms (0%)

regimes89.0ms (1.3%)

bsearch0.0ms (0%)

regimes73.0ms (1%)

bsearch0.0ms (0%)

regimes224.0ms (3.2%)

bsearch0.0ms (0%)

regimes27.0ms (0.4%)

bsearch44.0ms (0.6%)

regimes8.0ms (0.1%)

simplify9.0ms (0.1%)

soundness0.0ms (0%)

end55.0ms (0.8%)

Profiling