Details

analyze60.0ms (1.1%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.1s (40%)

Results

850.0ms	6147×	body	256	valid
693.0ms	1392×	body	1024	valid
188.0ms	714×	body	512	valid
187.0ms	603×	body	1024	infinite
83.0ms	358×	body	512	infinite
76.0ms	484×	body	256	infinite
3.0ms	3×	body	2048	valid

Bogosity

preprocess14.0ms (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)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series4.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite35.0ms (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))))))))

simplify53.0ms (1%)

Algorithm

1×	egg-herbie

Rules

893×	`fma-def_binary64`
399×	`*-commutative_binary64`
342×	`fma-neg_binary64`
326×	`associate-l_binary64`
286×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	384
1	184	382
2	536	362
3	2278	338
4	5304	337
5	7069	337

Stop Event

1×	node limit

Counts

35 → 45

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 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1)
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(exp.f64 (+.f64 re (log.f64 (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 (.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 (fma.f64 re (.f64 re 1/2) 1)))
(+.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 (fma.f64 1/6 (pow.f64 re 3) re) (fma.f64 re (.f64 re 1/2) 1)))
(*.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)))
(.f64 (exp.f64 re) (+.f64 (.f64 -1/6 (pow.f64 im 3)) im))
(*.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 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 -1/6 (pow.f64 im 3)) (fma.f64 1/120 (pow.f64 im 5) im)))
(.f64 (exp.f64 re) (+.f64 (.f64 1/120 (pow.f64 im 5)) (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 (.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 (exp.f64 re) (.f64 (pow.f64 im 7) -1/5040)))))
(+.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 (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 (exp.f64 re) (+.f64 (fma.f64 -1/5040 (pow.f64 im 7) im) (fma.f64 -1/6 (pow.f64 im 3) (.f64 1/120 (pow.f64 im 5)))))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1)
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3) 1/3)
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)
(*.f64 (sin.f64 im) (exp.f64 re))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2))
(*.f64 (sin.f64 im) (exp.f64 re))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))
(*.f64 (sin.f64 im) (exp.f64 re))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
(*.f64 (sin.f64 im) (exp.f64 re))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(*.f64 (sin.f64 im) (exp.f64 re))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(*.f64 (sin.f64 im) (exp.f64 re))

eval10.0ms (0.2%)

Compiler: Compiled 604 to 315 computations (47.8% saved)

prune14.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	38	7	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	8	46

Error

Counts

46 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
▶	20.0b	(*.f64 (+.f64 re 1) (sin.f64 im))
	20.2b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
▶	20.2b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	23.0b	(*.f64 (exp.f64 re) im)
▶	19.9b	(sin.f64 im)
	31.7b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

Compiler

Compiled 143 to 105 computations (26.6% saved)

localize10.0ms (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)

series20.0ms (0.4%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	im	@	0	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
4.0ms	re	@	0	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
3.0ms	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	re	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)

rewrite52.0ms (1%)

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 (1.3%)

Algorithm

1×	egg-herbie

Rules

880×	`fma-def_binary64`
310×	`fma-neg_binary64`
306×	`cube-prod_binary64`
294×	`distribute-rgt-in_binary64`
292×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	211	1876
1	594	1831
2	1904	1809
3	5683	1803

Stop Event

1×	node limit

Counts

94 → 89

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)
(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (.f64 (exp.f64 re) (sin.f64 im)) 1)
(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2))
(.f64 1 (.f64 (exp.f64 re) (sin.f64 im)))
(.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 2) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
(.f64 (cbrt.f64 (exp.f64 re)) (.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) 2) (.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im)))
(.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)))
(.f64 (sqrt.f64 (sin.f64 im)) (.f64 (sqrt.f64 (sin.f64 im)) (exp.f64 re)))
(.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
(.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)))
(.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))))
(.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))
(.f64 (.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) (cbrt.f64 (sin.f64 im)))
(.f64 (.f64 (exp.f64 re) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)))
(.f64 (.f64 (sin.f64 im) (pow.f64 (cbrt.f64 (exp.f64 re)) 2)) (cbrt.f64 (exp.f64 re)))
(.f64 (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) (sqrt.f64 (exp.f64 re)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 2) 1) (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2) (cbrt.f64 (exp.f64 re))) (cbrt.f64 (sin.f64 im)))
(.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)))))
(.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))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 3))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (exp.f64 re) 3)))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
(-.f64 (+.f64 1 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) 1)
(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 1)
(.f64 1 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))))
(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (exp.f64 re)))
(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (sin.f64 im)))
(.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))
(.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))
(.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)))))
(.f64 (pow.f64 (.f64 (exp.f64 re) (sin.f64 im)) 1/6) (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/6))
(.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)))))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))))
(.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))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/6) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(exp.f64 (*.f64 (+.f64 re (log.f64 (sin.f64 im))) 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 (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 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)))) (cbrt.f64 (/.f64 1 (sin.f64 im)))))) (cbrt.f64 (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 (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)))) (cbrt.f64 (sin.f64 im)) (.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 re (.f64 re (fma.f64 1/3 (fma.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 (sin.f64 im) 1/2)) (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)) (.f64 (fma.f64 (fma.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 (sin.f64 im) 1/2)) (.f64 2/3 (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)))) (cbrt.f64 (sin.f64 im)))))) (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)))
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(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)
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(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (.f64 (exp.f64 re) (sin.f64 im)) 1)
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 1 (.f64 (exp.f64 re) (sin.f64 im)))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 2) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (.f64 (cbrt.f64 (sin.f64 im)) (exp.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (cbrt.f64 (exp.f64 re)) (.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2)))
(.f64 (cbrt.f64 (exp.f64 re)) (.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2) (cbrt.f64 (sin.f64 im))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2) (*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (exp.f64 re))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 re)) 2) (.f64 (cbrt.f64 (exp.f64 re)) (sin.f64 im)))
(*.f64 (sin.f64 im) (exp.f64 re))
(.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)))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (sqrt.f64 (sin.f64 im)) (.f64 (sqrt.f64 (sin.f64 im)) (exp.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (sqrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sqrt.f64 (exp.f64 re)) (sin.f64 im)))
(*.f64 (sin.f64 im) (exp.f64 re))
(.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)))
(*.f64 (sin.f64 im) (exp.f64 re))
(.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))))
(*.f64 (sin.f64 im) (exp.f64 re))
(.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))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) (cbrt.f64 (sin.f64 im)))
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(.f64 (.f64 (exp.f64 re) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)))
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(.f64 (.f64 (sin.f64 im) (pow.f64 (cbrt.f64 (exp.f64 re)) 2)) (cbrt.f64 (exp.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))) (sqrt.f64 (exp.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 2) 1) (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2) (cbrt.f64 (exp.f64 re))) (cbrt.f64 (sin.f64 im)))
(.f64 (cbrt.f64 (exp.f64 re)) (.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2) (cbrt.f64 (sin.f64 im))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2) (*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (exp.f64 re))))
(.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)))))
(*.f64 (sin.f64 im) (exp.f64 re))
(.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))
(*.f64 (sin.f64 im) (exp.f64 re))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 2))
(*.f64 (sin.f64 im) (exp.f64 re))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (exp.f64 re)))
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(cbrt.f64 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (sin.f64 im) 3)))
(*.f64 (sin.f64 im) (exp.f64 re))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (exp.f64 re) 3)))
(*.f64 (sin.f64 im) (exp.f64 re))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(*.f64 (sin.f64 im) (exp.f64 re))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
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(-.f64 (+.f64 1 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) 1)
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(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) 1)
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(.f64 1 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))))
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(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (exp.f64 re)))
(*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (sin.f64 im)))
(*.f64 (cbrt.f64 (sin.f64 im)) (cbrt.f64 (exp.f64 re)))
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(.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))
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(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(.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)))))
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(.f64 (pow.f64 1 1/3) (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))))
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(.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))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sin.f64 im) (exp.f64 re)))) (cbrt.f64 (sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))) 3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/6) 2)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 2))
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))))
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(exp.f64 (*.f64 (+.f64 re (log.f64 (sin.f64 im))) 1/3))
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))

localize4.0ms (0.1%)

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 4 computations (60% saved)

series3.0ms (0.1%)

Counts

1 → 4

Calls

6 calls:

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

rewrite34.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-neg_binary64`
396×	`*-commutative_binary64`
368×	`associate-+r+_binary64`
302×	`associate-l_binary64`
259×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	162
1	131	153
2	404	135
3	2493	134
4	4118	134
5	6490	134

Stop Event

1×	node limit

Counts

18 → 30

Calls

Call 1

Inputs
im
(+.f64 (*.f64 re im) im)
(+.f64 (.f64 re im) (+.f64 (.f64 1/2 (*.f64 (pow.f64 re 2) im)) im))
(+.f64 (.f64 1/6 (.f64 (pow.f64 re 3) im)) (+.f64 (.f64 re im) (+.f64 (.f64 1/2 (*.f64 (pow.f64 re 2) im)) im)))
(+.f64 0 (*.f64 (exp.f64 re) im))
(+.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))))
(+.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))))
(-.f64 (+.f64 1 (*.f64 (exp.f64 re) im)) 1)
(pow.f64 (*.f64 (exp.f64 re) im) 1)
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) im) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) im)) 3)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) im)) 2)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) im) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) im))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) im) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) im)))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) im)))
(exp.f64 (+.f64 re (log.f64 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 (.f64 re 1/2) re 1)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 re 3) im)) (+.f64 (.f64 re im) (+.f64 (.f64 1/2 (*.f64 (pow.f64 re 2) im)) im)))
(fma.f64 1/6 (.f64 im (pow.f64 re 3)) (fma.f64 re im (fma.f64 1/2 (.f64 im (*.f64 re re)) im)))
(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 (.f64 re 1/2) re 1)))
(.f64 im (+.f64 (fma.f64 (.f64 re 1/2) re 1) (fma.f64 1/6 (pow.f64 re 3) re)))
(+.f64 0 (*.f64 (exp.f64 re) im))
(*.f64 im (exp.f64 re))
(+.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))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) im)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) im))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (exp.f64 re)) im))))
(+.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))))
(*.f64 im (exp.f64 re))
(-.f64 (+.f64 1 (*.f64 (exp.f64 re) im)) 1)
(*.f64 im (exp.f64 re))
(pow.f64 (*.f64 (exp.f64 re) im) 1)
(*.f64 im (exp.f64 re))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) im) 3) 1/3)
(*.f64 im (exp.f64 re))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) im)) 3)
(*.f64 im (exp.f64 re))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) im)) 2)
(*.f64 im (exp.f64 re))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) im) 2))
(*.f64 im (exp.f64 re))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) im))
(*.f64 im (exp.f64 re))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) im) 3))
(*.f64 im (exp.f64 re))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) im)))
(*.f64 im (exp.f64 re))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) im)))
(*.f64 im (exp.f64 re))
(exp.f64 (+.f64 re (log.f64 im)))
(*.f64 im (exp.f64 re))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite38.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`pow1_binary64`
638×	`log1p-expm1-u_binary64`
638×	`expm1-log1p-u_binary64`
637×	`add-log-exp_binary64`
624×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	141	9
2	1750	9

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))))) (#(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 re (sin.f64 im)) (sin.f64 im))))) (#(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 1 (*.f64 (+.f64 re 1) (sin.f64 im))) 1)))) (#(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 (+.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)) 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 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 (sin.f64 im)) (+.f64 re 1)))))) (#(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 re 1) 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 (+.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 (+.f64 (log1p.f64 re) (log.f64 (sin.f64 im))))))))

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

724×	`associate-+l+_binary64`
647×	`associate-+r+_binary64`
396×	`associate-l_binary64`
352×	`associate-r_binary64`
304×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	492
1	213	490
2	650	470
3	3273	464
4	6436	464

Stop Event

1×	node limit

Counts

45 → 48

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 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))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(+.f64 (*.f64 (sin.f64 im) re) (sin.f64 im))
(-.f64 (+.f64 1 (*.f64 (+.f64 re 1) (sin.f64 im))) 1)
(/.f64 (*.f64 (+.f64 1 (pow.f64 re 3)) (sin.f64 im)) (fma.f64 re re (-.f64 1 re)))
(/.f64 (*.f64 (fma.f64 re re -1) (sin.f64 im)) (+.f64 re -1))
(/.f64 (*.f64 (sin.f64 im) (+.f64 1 (pow.f64 re 3))) (fma.f64 re re (-.f64 1 re)))
(/.f64 (*.f64 (sin.f64 im) (fma.f64 re re -1)) (+.f64 re -1))
(pow.f64 (*.f64 (+.f64 re 1) (sin.f64 im)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 re 1) (sin.f64 im)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re 1) (sin.f64 im))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re 1) (sin.f64 im))) 2)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 re 1) (sin.f64 im)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 re 1)))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re 1) (sin.f64 im)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 re 1) 3) (pow.f64 (sin.f64 im) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (+.f64 re 1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 re 1) (sin.f64 im))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 re 1) (sin.f64 im))))
(exp.f64 (+.f64 (log1p.f64 re) (log.f64 (sin.f64 im))))

Outputs
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) (+.f64 re 1))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) (+.f64 re 1))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) (+.f64 re 1))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) (+.f64 re 1))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) (+.f64 re 1))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) (+.f64 re 1))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) (+.f64 re 1))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) (+.f64 re 1))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) (+.f64 re 1))
(*.f64 (+.f64 1 re) im)
(*.f64 im (+.f64 re 1))
(fma.f64 im re im)
(+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im))
(fma.f64 -1/6 (.f64 (+.f64 re 1) (pow.f64 im 3)) (.f64 im (+.f64 re 1)))
(fma.f64 im (+.f64 re 1) (.f64 -1/6 (.f64 (+.f64 re 1) (pow.f64 im 3))))
(.f64 (+.f64 re 1) (+.f64 im (.f64 -1/6 (pow.f64 im 3))))
(fma.f64 (pow.f64 im 3) (fma.f64 re -1/6 -1/6) (fma.f64 im 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)))
(fma.f64 1/120 (.f64 (+.f64 re 1) (pow.f64 im 5)) (fma.f64 -1/6 (.f64 (+.f64 re 1) (pow.f64 im 3)) (*.f64 im (+.f64 re 1))))
(fma.f64 1/120 (.f64 (+.f64 re 1) (pow.f64 im 5)) (fma.f64 im (+.f64 re 1) (.f64 -1/6 (*.f64 (+.f64 re 1) (pow.f64 im 3)))))
(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 re im)))
(.f64 (+.f64 re 1) (+.f64 (.f64 1/120 (pow.f64 im 5)) (+.f64 im (*.f64 -1/6 (pow.f64 im 3)))))
(.f64 (+.f64 re 1) (+.f64 (.f64 -1/6 (pow.f64 im 3)) (+.f64 im (*.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 re 1) (pow.f64 im 5)) (fma.f64 -1/6 (.f64 (+.f64 re 1) (pow.f64 im 3)) (fma.f64 (+.f64 re 1) im (.f64 -1/5040 (.f64 (+.f64 re 1) (pow.f64 im 7))))))
(fma.f64 1/120 (.f64 (+.f64 re 1) (pow.f64 im 5)) (fma.f64 -1/6 (.f64 (+.f64 re 1) (pow.f64 im 3)) (fma.f64 im (+.f64 re 1) (.f64 (+.f64 re 1) (.f64 (pow.f64 im 7) -1/5040)))))
(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) (.f64 (+.f64 re 1) (+.f64 im (.f64 -1/5040 (pow.f64 im 7))))))
(.f64 (+.f64 re 1) (+.f64 (+.f64 im (.f64 -1/6 (pow.f64 im 3))) (+.f64 (.f64 -1/5040 (pow.f64 im 7)) (.f64 1/120 (pow.f64 im 5)))))
(.f64 (+.f64 re 1) (+.f64 (+.f64 im (.f64 -1/5040 (pow.f64 im 7))) (+.f64 (.f64 1/120 (pow.f64 im 5)) (.f64 -1/6 (pow.f64 im 3)))))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 re 1))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 re 1))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 re 1))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 re 1))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 re 1))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 re 1))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 re 1))
(*.f64 (sin.f64 im) (+.f64 1 re))
(*.f64 (sin.f64 im) (+.f64 re 1))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(*.f64 (sin.f64 im) (+.f64 re 1))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(*.f64 (sin.f64 im) (+.f64 re 1))
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(+.f64 (*.f64 (sin.f64 im) re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 re 1))
(-.f64 (+.f64 1 (*.f64 (+.f64 re 1) (sin.f64 im))) 1)
(*.f64 (sin.f64 im) (+.f64 re 1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 re 3)) (sin.f64 im)) (fma.f64 re re (-.f64 1 re)))
(/.f64 (+.f64 1 (pow.f64 re 3)) (/.f64 (fma.f64 re re (-.f64 1 re)) (sin.f64 im)))
(*.f64 (sin.f64 im) (/.f64 (+.f64 1 (pow.f64 re 3)) (-.f64 (fma.f64 re re 1) re)))
(/.f64 (*.f64 (fma.f64 re re -1) (sin.f64 im)) (+.f64 re -1))
(*.f64 (sin.f64 im) (+.f64 re 1))
(/.f64 (*.f64 (sin.f64 im) (+.f64 1 (pow.f64 re 3))) (fma.f64 re re (-.f64 1 re)))
(/.f64 (+.f64 1 (pow.f64 re 3)) (/.f64 (fma.f64 re re (-.f64 1 re)) (sin.f64 im)))
(*.f64 (sin.f64 im) (/.f64 (+.f64 1 (pow.f64 re 3)) (-.f64 (fma.f64 re re 1) re)))
(/.f64 (*.f64 (sin.f64 im) (fma.f64 re re -1)) (+.f64 re -1))
(*.f64 (sin.f64 im) (+.f64 re 1))
(pow.f64 (*.f64 (+.f64 re 1) (sin.f64 im)) 1)
(*.f64 (sin.f64 im) (+.f64 re 1))
(pow.f64 (pow.f64 (*.f64 (+.f64 re 1) (sin.f64 im)) 3) 1/3)
(*.f64 (sin.f64 im) (+.f64 re 1))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 re 1) (sin.f64 im))) 3)
(*.f64 (sin.f64 im) (+.f64 re 1))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 re 1) (sin.f64 im))) 2)
(*.f64 (sin.f64 im) (+.f64 re 1))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 re 1) (sin.f64 im)) 2))
(*.f64 (sin.f64 im) (+.f64 re 1))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 re 1)))
(*.f64 (sin.f64 im) (+.f64 re 1))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re 1) (sin.f64 im)) 3))
(*.f64 (sin.f64 im) (+.f64 re 1))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 re 1) 3) (pow.f64 (sin.f64 im) 3)))
(*.f64 (sin.f64 im) (+.f64 re 1))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (+.f64 re 1) 3)))
(*.f64 (sin.f64 im) (+.f64 re 1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 re 1) (sin.f64 im))))
(*.f64 (sin.f64 im) (+.f64 re 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 re 1) (sin.f64 im))))
(*.f64 (sin.f64 im) (+.f64 re 1))
(exp.f64 (+.f64 (log1p.f64 re) (log.f64 (sin.f64 im))))
(*.f64 (sin.f64 im) (exp.f64 (log1p.f64 re)))

localize16.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 re 1) (.f64 re (.f64 re 1/2)))
✓	2.6b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))

Compiler

Compiled 40 to 25 computations (37.5% saved)

series4.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite63.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`log-prod_binary64`
511×	`fma-def_binary64`
468×	`pow-prod-down_binary64`
311×	`pow2_binary64`
251×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	31
1	241	27
2	3394	27

Stop Event

1×	node limit

Counts

2 → 148

Calls

Call 1

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

Outputs

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

simplify74.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

453×	`times-frac_binary64`
313×	`associate-/l*_binary64`
280×	`cancel-sign-sub-inv_binary64`
239×	`associate-r_binary64`
223×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	3327
1	1009	3252
2	3188	3118

Stop Event

1×	node limit

Counts

184 → 223

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 0 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) (+.f64 re 1))))
(+.f64 (.f64 (sin.f64 im) (+.f64 re 1)) (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))))
(+.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))) (.f64 (sin.f64 im) (+.f64 re 1)))
(+.f64 (.f64 re (sin.f64 im)) (.f64 (fma.f64 re (*.f64 re 1/2) 1) (sin.f64 im)))
(+.f64 (.f64 (.f64 (sin.f64 im) (+.f64 re 1)) 1) (.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))) 1))
(+.f64 (.f64 (sin.f64 im) re) (.f64 (sin.f64 im) (fma.f64 re (*.f64 re 1/2) 1)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (fma.f64 re (.f64 re 1/2) (+.f64 re 1)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (fma.f64 re (.f64 re 1/2) (+.f64 re 1))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (fma.f64 re (.f64 re 1/2) (+.f64 re 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (fma.f64 re (.f64 re 1/2) (+.f64 re 1))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) (+.f64 re 1))))) 1)
(/.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 (sin.f64 im) (.f64 re (.f64 re 1/2))) 2) (.f64 (.f64 (sin.f64 im) (+.f64 re 1)) (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (sin.f64 im) (+.f64 re 1)) 2) (pow.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))) 2)) (-.f64 (.f64 (sin.f64 im) (+.f64 re 1)) (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)))))
(/.f64 (.f64 (fma.f64 (pow.f64 re 6) 1/8 (pow.f64 (+.f64 re 1) 3)) (sin.f64 im)) (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)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 re 1) 2) (pow.f64 (.f64 re (sqrt.f64 1/2)) 4)) (sin.f64 im)) (+.f64 re (-.f64 1 (.f64 re (.f64 re 1/2)))))
(/.f64 (.f64 (sin.f64 im) (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) 2)))
(/.f64 (.f64 (sin.f64 im) (-.f64 (pow.f64 (+.f64 re 1) 2) (pow.f64 (.f64 re (sqrt.f64 1/2)) 4))) (+.f64 re (-.f64 1 (.f64 re (.f64 re 1/2)))))
(pow.f64 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) (+.f64 re 1))) 1)
(pow.f64 (pow.f64 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) (+.f64 re 1))) 2) 1/2)
(pow.f64 (pow.f64 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) (+.f64 re 1))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) (+.f64 re 1)))) 3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) (+.f64 re 1)))) 2)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) (+.f64 re 1))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (fma.f64 re (*.f64 re 1/2) (+.f64 re 1))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) (+.f64 re 1))))))
(log.f64 (.f64 (exp.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)))) (exp.f64 (*.f64 (sin.f64 im) (+.f64 re 1)))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) (+.f64 re 1))) 3))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) (+.f64 re 1)))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) (+.f64 re 1)))))
(exp.f64 (log.f64 (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) (+.f64 re 1)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 im) (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)))) 1))
(fma.f64 (sin.f64 im) re (.f64 (sin.f64 im) (fma.f64 re (.f64 re 1/2) 1)))
(fma.f64 (sin.f64 im) (+.f64 re 1) (.f64 (sin.f64 im) (.f64 re (*.f64 re 1/2))))
(fma.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 re (sin.f64 im) (.f64 (fma.f64 re (.f64 re 1/2) 1) (sin.f64 im)))
(fma.f64 re (.f64 (.f64 re 1/2) (sin.f64 im)) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 1 (.f64 (sin.f64 im) (+.f64 re 1)) (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))))
(fma.f64 1 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))) (.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (+.f64 re 1) (sin.f64 im) (.f64 (sin.f64 im) (.f64 re (*.f64 re 1/2))))
(fma.f64 (.f64 re 1/2) (.f64 re (sin.f64 im)) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 re (.f64 re 1/2)) (sin.f64 im) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 re re) (.f64 1/2 (sin.f64 im)) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 re (sqrt.f64 1/2)) 4)) (.f64 (cbrt.f64 (.f64 re (.f64 re 1/2))) (sin.f64 im)) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 re 1)) 2) (.f64 (cbrt.f64 (+.f64 re 1)) (sin.f64 im)) (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))))
(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)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (.f64 (cbrt.f64 (sin.f64 im)) (+.f64 re 1)) (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))))
(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)))
(fma.f64 (sqrt.f64 (+.f64 re 1)) (.f64 (sqrt.f64 (+.f64 re 1)) (sin.f64 im)) (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))))
(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)))
(fma.f64 (sqrt.f64 (sin.f64 im)) (.f64 (sqrt.f64 (sin.f64 im)) (+.f64 re 1)) (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))))
(fma.f64 (.f64 (sin.f64 im) (+.f64 re 1)) 1 (.f64 (.f64 (sin.f64 im) (.f64 re (*.f64 re 1/2))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (+.f64 re 1))) 2) (cbrt.f64 (.f64 (sin.f64 im) (+.f64 re 1))) (.f64 (sin.f64 im) (.f64 re (*.f64 re 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)))) 2) (cbrt.f64 (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2)))) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 im) (+.f64 re 1))) (sqrt.f64 (.f64 (sin.f64 im) (+.f64 re 1))) (.f64 (sin.f64 im) (.f64 re (*.f64 re 1/2))))
(fma.f64 (.f64 (.f64 re (sqrt.f64 1/2)) (sqrt.f64 (sin.f64 im))) (.f64 (.f64 re (sqrt.f64 1/2)) (sqrt.f64 (sin.f64 im))) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 (sin.f64 im) re) (.f64 re 1/2) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 (sin.f64 im) (.f64 re 1/2)) re (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 (sin.f64 im) (.f64 re re)) 1/2 (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 (sin.f64 im) (cbrt.f64 (pow.f64 (.f64 re (sqrt.f64 1/2)) 4))) (cbrt.f64 (.f64 re (.f64 re 1/2))) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 (sin.f64 im) (.f64 re (sqrt.f64 1/2))) (.f64 re (sqrt.f64 1/2)) (.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (pow.f64 (.f64 (.f64 re (sqrt.f64 1/2)) (cbrt.f64 (sin.f64 im))) 2) (cbrt.f64 (sin.f64 im)) (*.f64 (sin.f64 im) (+.f64 re 1)))
(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)))
(fma.f64 (.f64 (+.f64 re 1) (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) (cbrt.f64 (sin.f64 im)) (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))))
(fma.f64 (.f64 (+.f64 re 1) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)) (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))))
(fma.f64 (.f64 (sin.f64 im) (pow.f64 (cbrt.f64 (+.f64 re 1)) 2)) (cbrt.f64 (+.f64 re 1)) (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))))
(fma.f64 (.f64 (sin.f64 im) (sqrt.f64 (+.f64 re 1))) (sqrt.f64 (+.f64 re 1)) (.f64 (sin.f64 im) (.f64 re (.f64 re 1/2))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)))) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 re 1) 2) (+.f64 re (-.f64 1 (.f64 re (.f64 re 1/2))))) (/.f64 (pow.f64 (.f64 re (sqrt.f64 1/2)) 4) (+.f64 re (-.f64 1 (.f64 re (*.f64 re 1/2))))))
(.f64 1 (fma.f64 re (.f64 re 1/2) (+.f64 re 1)))
(.f64 (fma.f64 re (.f64 re 1/2) (+.f64 re 1)) 1)
(.f64 (cbrt.f64 (fma.f64 re (.f64 re 1/2) (+.f64 re 1))) (pow.f64 (cbrt.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 re (.f64 re 1/2) (+.f64 re 1))) 2) (cbrt.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1))))
(.f64 (sqrt.f64 (fma.f64 re (.f64 re 1/2) (+.f64 re 1))) (sqrt.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1))))
(.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))))
(.f64 (-.f64 (pow.f64 (+.f64 re 1) 2) (pow.f64 (.f64 re (sqrt.f64 1/2)) 4)) (/.f64 1 (+.f64 re (-.f64 1 (.f64 re (.f64 re 1/2))))))
(/.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))))
(/.f64 1 (/.f64 (+.f64 re (-.f64 1 (.f64 re (.f64 re 1/2)))) (-.f64 (pow.f64 (+.f64 re 1) 2) (pow.f64 (*.f64 re (sqrt.f64 1/2)) 4))))
(/.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) 2)))
(/.f64 (fma.f64 (pow.f64 re 6) 1/8 (pow.f64 (+.f64 re 1) 3)) (fma.f64 (pow.f64 (.f64 re re) 2) 1/4 (-.f64 (pow.f64 (+.f64 re 1) 2) (.f64 (.f64 (+.f64 re 1) re) (.f64 re 1/2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 re 1) 2) (pow.f64 (.f64 re (sqrt.f64 1/2)) 4)) (+.f64 re (-.f64 1 (.f64 re (*.f64 re 1/2)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 re 6) 1/8 (pow.f64 (+.f64 re 1) 3))) (neg.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))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 re 1) 2) (pow.f64 (.f64 re (sqrt.f64 1/2)) 4))) (neg.f64 (+.f64 re (-.f64 1 (.f64 re (*.f64 re 1/2))))))
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (fma.f64 re (.f64 re 1/2) 1) 3)) (fma.f64 re re (-.f64 (pow.f64 (fma.f64 re (.f64 re 1/2) 1) 2) (.f64 re (fma.f64 re (.f64 re 1/2) 1)))))
(/.f64 (-.f64 (.f64 re re) (pow.f64 (fma.f64 re (.f64 re 1/2) 1) 2)) (-.f64 re (fma.f64 re (*.f64 re 1/2) 1)))
(/.f64 (-.f64 (pow.f64 (.f64 re (sqrt.f64 1/2)) 4) (pow.f64 (+.f64 re 1) 2)) (fma.f64 re (.f64 re 1/2) (neg.f64 (+.f64 re 1))))
(pow.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)) 1)
(pow.f64 (pow.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1))) 3)
(pow.f64 (sqrt.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1))) 2)
(pow.f64 (/.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))) -1)
(pow.f64 (/.f64 (+.f64 re (-.f64 1 (.f64 re (.f64 re 1/2)))) (-.f64 (pow.f64 (+.f64 re 1) 2) (pow.f64 (*.f64 re (sqrt.f64 1/2)) 4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)) 2))
(log.f64 (exp.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 re)) (exp.f64 (fma.f64 re (.f64 re 1/2) 1))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (+.f64 re 1))) (pow.f64 (sqrt.f64 (exp.f64 re)) re)))
(log.f64 (.f64 (exp.f64 (+.f64 re 1)) (+.f64 1 (expm1.f64 (.f64 re (*.f64 re 1/2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (+.f64 re 1))) (+.f64 1 (expm1.f64 (.f64 re (*.f64 re 1/2))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 re (*.f64 re 1/2)))) (exp.f64 (+.f64 re 1))))
(log.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 re)) re) (+.f64 1 (expm1.f64 (+.f64 re 1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 re (*.f64 re 1/2)))) (+.f64 1 (expm1.f64 (+.f64 re 1)))))
(log.f64 (.f64 (exp.f64 (fma.f64 re (.f64 re 1/2) 1)) (exp.f64 re)))
(log.f64 (.f64 (exp.f64 (fma.f64 re (.f64 re 1/2) 1)) (+.f64 1 (expm1.f64 re))))
(cbrt.f64 (pow.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1))))
(log1p.f64 (expm1.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1))))
(exp.f64 (log1p.f64 (+.f64 re (.f64 re (.f64 re 1/2)))))
(exp.f64 (.f64 (log1p.f64 (+.f64 re (.f64 re (*.f64 re 1/2)))) 1))
(fma.f64 re 1 (fma.f64 re (*.f64 re 1/2) 1))
(fma.f64 re 1 (.f64 (fma.f64 re (.f64 re 1/2) 1) 1))
(fma.f64 re (*.f64 re 1/2) (+.f64 re 1))
(fma.f64 1 re (fma.f64 re (*.f64 re 1/2) 1))
(fma.f64 1 re (.f64 (fma.f64 re (.f64 re 1/2) 1) 1))
(fma.f64 1 (+.f64 re 1) (.f64 re (.f64 re 1/2)))
(fma.f64 1 (.f64 re (.f64 re 1/2)) (+.f64 re 1))
(fma.f64 1 (fma.f64 re (*.f64 re 1/2) 1) re)
(fma.f64 (+.f64 re 1) 1 (.f64 re (.f64 re 1/2)))
(fma.f64 1/2 (*.f64 re re) (+.f64 re 1))
(fma.f64 (*.f64 re 1/2) re (+.f64 re 1))
(fma.f64 (.f64 re (.f64 re 1/2)) 1 (+.f64 re 1))
(fma.f64 (*.f64 re re) 1/2 (+.f64 re 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 re 1/2)) 2) (.f64 (cbrt.f64 (*.f64 re 1/2)) re) (+.f64 re 1))
(fma.f64 (cbrt.f64 (.f64 re (.f64 re 1/2))) (cbrt.f64 (pow.f64 (*.f64 re (sqrt.f64 1/2)) 4)) (+.f64 re 1))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 re (sqrt.f64 1/2)) 4)) (cbrt.f64 (.f64 re (*.f64 re 1/2))) (+.f64 re 1))
(fma.f64 (cbrt.f64 (+.f64 re 1)) (pow.f64 (cbrt.f64 (+.f64 re 1)) 2) (.f64 re (.f64 re 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 re 1)) 2) (cbrt.f64 (+.f64 re 1)) (.f64 re (.f64 re 1/2)))
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) 2) (fma.f64 re (*.f64 re 1/2) 1))
(fma.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 re) 2) (.f64 (fma.f64 re (.f64 re 1/2) 1) 1))
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (fma.f64 re (*.f64 re 1/2) 1))
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (.f64 (fma.f64 re (.f64 re 1/2) 1) 1))
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (.f64 (cbrt.f64 re) 1) (fma.f64 re (.f64 re 1/2) 1))
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (.f64 (cbrt.f64 re) 1) (.f64 (fma.f64 re (*.f64 re 1/2) 1) 1))
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (.f64 (cbrt.f64 re) (.f64 re 1/2)) (+.f64 re 1))
(fma.f64 (sqrt.f64 (.f64 re 1/2)) (.f64 (sqrt.f64 (*.f64 re 1/2)) re) (+.f64 re 1))
(fma.f64 (.f64 re (sqrt.f64 1/2)) (.f64 re (sqrt.f64 1/2)) (+.f64 re 1))
(fma.f64 (sqrt.f64 (+.f64 re 1)) (sqrt.f64 (+.f64 re 1)) (.f64 re (.f64 re 1/2)))
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (fma.f64 re (*.f64 re 1/2) 1))
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (.f64 (fma.f64 re (.f64 re 1/2) 1) 1))
(fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) 1) (fma.f64 re (.f64 re 1/2) 1))
(fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) 1) (.f64 (fma.f64 re (*.f64 re 1/2) 1) 1))
(fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) (.f64 re 1/2)) (+.f64 re 1))
(fma.f64 (+.f64 1 (pow.f64 re 3)) (/.f64 1 (-.f64 (fma.f64 re re 1) re)) (.f64 re (.f64 re 1/2)))
(fma.f64 (fma.f64 re re -1) (/.f64 1 (+.f64 re -1)) (.f64 re (.f64 re 1/2)))
(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)
(fma.f64 (hypot.f64 1 (.f64 re (sqrt.f64 1/2))) (hypot.f64 1 (.f64 re (sqrt.f64 1/2))) re)
(fma.f64 (.f64 re (pow.f64 (cbrt.f64 (.f64 re 1/2)) 2)) (cbrt.f64 (*.f64 re 1/2)) (+.f64 re 1))
(fma.f64 (.f64 re (sqrt.f64 (.f64 re 1/2))) (sqrt.f64 (*.f64 re 1/2)) (+.f64 re 1))
(fma.f64 (.f64 (.f64 re 1/2) (pow.f64 (cbrt.f64 re) 2)) (cbrt.f64 re) (+.f64 re 1))
(fma.f64 (.f64 (.f64 re 1/2) (sqrt.f64 re)) (sqrt.f64 re) (+.f64 re 1))

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

eval171.0ms (3.3%)

Compiler: Compiled 9885 to 6075 computations (38.5% saved)

prune69.0ms (1.3%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	430	5	435
Fresh	0	2	2
Picked	0	1	1
Done	0	5	5
Total	430	13	443

Error

Counts

443 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
▶	33.8b	(-.f64 (+.f64 1 (*.f64 (+.f64 re 1) (sin.f64 im))) 1)
▶	42.8b	(+.f64 (*.f64 re im) im)
✓	20.0b	(*.f64 (+.f64 re 1) (sin.f64 im))
▶	61.5b	(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
▶	20.2b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
✓	20.2b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))
▶	61.4b	(*.f64 (sin.f64 im) re)
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	23.0b	(*.f64 (exp.f64 re) im)
✓	19.9b	(sin.f64 im)
	31.7b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
	42.5b	im

Compiler

Compiled 174 to 126 computations (27.6% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (*.f64 re 1/6) 1/2)))
✓	0.0b	(.f64 (.f64 re re) (+.f64 (*.f64 re 1/6) 1/2))
✓	0.4b	(*.f64 re 1/6)
✓	1.9b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))

Compiler

Compiled 61 to 37 computations (39.3% saved)

series9.0ms (0.2%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	im	@	inf	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
1.0ms	im	@	0	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
0.0ms	re	@	inf	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
0.0ms	re	@	inf	(.f64 (.f64 re re) (+.f64 (*.f64 re 1/6) 1/2))
0.0ms	im	@	-inf	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))

rewrite85.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

753×	`log-prod_binary64`
737×	`fma-def_binary64`
393×	`fma-neg_binary64`
272×	`log1p-udef_binary64`
270×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	54
1	320	50
2	4618	50

Stop Event

1×	node limit

Counts

4 → 245

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 im) (+.f64 re 1)) (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 im) (.f64 (.f64 re 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 (.f64 re 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)) (+.f64 re (fma.f64 re (.f64 re (fma.f64 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(fma.f64 re 1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 im) (+.f64 (pow.f64 (+.f64 re 1) 3) (pow.f64 (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)) 3))) (fma.f64 (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)) (-.f64 (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)) (+.f64 re 1)) (pow.f64 (+.f64 re 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 im) (-.f64 (pow.f64 (+.f64 re 1) 2) (.f64 (pow.f64 (fma.f64 re 1/6 1/2) 2) (pow.f64 re 4)))) (+.f64 re (-.f64 1 (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)))) (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 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 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 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 fma.f64 (sin.f64 im) (+.f64 re 1) (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 re 1/6 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 (.f64 re re) (fma.f64 re 1/6 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 (fma.f64 re 1/6 1/2) 2) (pow.f64 re 4))) (.f64 (cbrt.f64 (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))) (sin.f64 im)) (.f64 (sin.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 re 1) 2)) (.f64 (cbrt.f64 (+.f64 re 1)) (sin.f64 im)) (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) (.f64 (cbrt.f64 (sin.f64 im)) (+.f64 re 1)) (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) (.f64 (cbrt.f64 (sin.f64 im)) 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simplify120.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

421×	`fma-neg_binary64`
410×	`associate-l_binary64`
400×	`associate-r_binary64`
267×	`fma-def_binary64`
261×	`log-prod_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	584	6473
1	1514	5874
2	5389	5752

Stop Event

1×	node limit

Counts

305 → 361

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)))
(+.f64 0 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1))))
(+.f64 (.f64 (sin.f64 im) (+.f64 re 1)) (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))))
(+.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))) (.f64 (sin.f64 im) (+.f64 re 1)))
(+.f64 (.f64 re (sin.f64 im)) (.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) 1) (sin.f64 im)))
(+.f64 (.f64 (.f64 (sin.f64 im) (+.f64 re 1)) 1) (.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))) 1))
(+.f64 (.f64 (sin.f64 im) re) (.f64 (sin.f64 im) (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) 1)))
(+.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1)))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1))))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (sin.f64 im) (+.f64 re 1)) 3) (pow.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))) 3)) (fma.f64 (.f64 (sin.f64 im) (+.f64 re 1)) (.f64 (sin.f64 im) (+.f64 re 1)) (-.f64 (.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))) (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)))) (.f64 (.f64 (sin.f64 im) (+.f64 re 1)) (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)))))))
(/.f64 (-.f64 (.f64 (.f64 (sin.f64 im) (+.f64 re 1)) (.f64 (sin.f64 im) (+.f64 re 1))) (.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))) (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))))) (-.f64 (.f64 (sin.f64 im) (+.f64 re 1)) (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (+.f64 re 1) 3) (pow.f64 (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)) 3)) (sin.f64 im)) (fma.f64 (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)) (-.f64 (.f64 (*.f64 re re) (fma.f64 re 1/6 1/2)) (+.f64 re 1)) (pow.f64 (+.f64 re 1) 2)))
(/.f64 (.f64 (-.f64 (pow.f64 (+.f64 re 1) 2) (.f64 (pow.f64 (fma.f64 re 1/6 1/2) 2) (pow.f64 re 4))) (sin.f64 im)) (+.f64 re (-.f64 1 (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)))))
(/.f64 (.f64 (sin.f64 im) (+.f64 (pow.f64 (+.f64 re 1) 3) (pow.f64 (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)) 3))) (fma.f64 (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)) (-.f64 (.f64 (*.f64 re re) (fma.f64 re 1/6 1/2)) (+.f64 re 1)) (pow.f64 (+.f64 re 1) 2)))
(/.f64 (.f64 (sin.f64 im) (-.f64 (pow.f64 (+.f64 re 1) 2) (.f64 (pow.f64 (fma.f64 re 1/6 1/2) 2) (pow.f64 re 4)))) (+.f64 re (-.f64 1 (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)))))
(pow.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1))) 1)
(pow.f64 (pow.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1)))) 3)
(pow.f64 (sqrt.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1)))) 2)
(sqrt.f64 (pow.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 re (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) 1))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1))))))
(log.f64 (.f64 (exp.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)))) (exp.f64 (*.f64 (sin.f64 im) (+.f64 re 1)))))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1))) 3))
(cbrt.f64 (.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1)) 3)))
(cbrt.f64 (.f64 (pow.f64 (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1)) 3) (pow.f64 (sin.f64 im) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1)))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1)))))
(exp.f64 (log.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1)))))
(exp.f64 (.f64 (log.f64 (.f64 (sin.f64 im) (+.f64 re (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) 1)))) 1))
(fma.f64 (sin.f64 im) re (.f64 (sin.f64 im) (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1)))
(fma.f64 (sin.f64 im) (+.f64 re 1) (.f64 (sin.f64 im) (.f64 (*.f64 re re) (fma.f64 re 1/6 1/2))))
(fma.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 re (sin.f64 im) (.f64 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1) (sin.f64 im)))
(fma.f64 re (.f64 (.f64 re (fma.f64 re 1/6 1/2)) (sin.f64 im)) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 1 (.f64 (sin.f64 im) (+.f64 re 1)) (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))))
(fma.f64 1 (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))) (.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (+.f64 re 1) (sin.f64 im) (.f64 (sin.f64 im) (.f64 (*.f64 re re) (fma.f64 re 1/6 1/2))))
(fma.f64 (.f64 re re) (.f64 (fma.f64 re 1/6 1/2) (sin.f64 im)) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (fma.f64 re 1/6 1/2) (.f64 (.f64 re re) (sin.f64 im)) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)) (sin.f64 im) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (fma.f64 re 1/6 1/2) 2) (pow.f64 re 4))) (.f64 (cbrt.f64 (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))) (sin.f64 im)) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 re 1) 2)) (.f64 (cbrt.f64 (+.f64 re 1)) (sin.f64 im)) (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) (.f64 (cbrt.f64 (sin.f64 im)) (+.f64 re 1)) (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 im) 2)) (.f64 (cbrt.f64 (sin.f64 im)) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))) (.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 re (sqrt.f64 (fma.f64 re 1/6 1/2))) (.f64 (.f64 re (sqrt.f64 (fma.f64 re 1/6 1/2))) (sin.f64 im)) (.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (sqrt.f64 (+.f64 re 1)) (.f64 (sqrt.f64 (+.f64 re 1)) (sin.f64 im)) (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))))
(fma.f64 (sqrt.f64 (sin.f64 im)) (.f64 (sqrt.f64 (sin.f64 im)) (+.f64 re 1)) (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))))
(fma.f64 (sqrt.f64 (sin.f64 im)) (.f64 (sqrt.f64 (sin.f64 im)) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))) (.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 (sin.f64 im) (+.f64 re 1)) 1 (.f64 (.f64 (sin.f64 im) (.f64 (*.f64 re re) (fma.f64 re 1/6 1/2))) 1))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)))) (cbrt.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))))) (cbrt.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)))) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 (cbrt.f64 (.f64 (sin.f64 im) (+.f64 re 1))) (cbrt.f64 (.f64 (sin.f64 im) (+.f64 re 1)))) (cbrt.f64 (.f64 (sin.f64 im) (+.f64 re 1))) (.f64 (sin.f64 im) (.f64 (*.f64 re re) (fma.f64 re 1/6 1/2))))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)))) (sqrt.f64 (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)))) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (sqrt.f64 (.f64 (sin.f64 im) (+.f64 re 1))) (sqrt.f64 (.f64 (sin.f64 im) (+.f64 re 1))) (.f64 (sin.f64 im) (.f64 (*.f64 re re) (fma.f64 re 1/6 1/2))))
(fma.f64 (.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (+.f64 re 1))) (.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (+.f64 re 1))) (.f64 (sin.f64 im) (.f64 (*.f64 re re) (fma.f64 re 1/6 1/2))))
(fma.f64 (.f64 (sqrt.f64 (+.f64 re 1)) (sqrt.f64 (sin.f64 im))) (.f64 (sqrt.f64 (+.f64 re 1)) (sqrt.f64 (sin.f64 im))) (.f64 (sin.f64 im) (.f64 (*.f64 re re) (fma.f64 re 1/6 1/2))))
(fma.f64 (.f64 (sqrt.f64 (sin.f64 im)) (.f64 re (sqrt.f64 (fma.f64 re 1/6 1/2)))) (.f64 (sqrt.f64 (sin.f64 im)) (.f64 re (sqrt.f64 (fma.f64 re 1/6 1/2)))) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 (.f64 re (sqrt.f64 (fma.f64 re 1/6 1/2))) (sqrt.f64 (sin.f64 im))) (.f64 (.f64 re (sqrt.f64 (fma.f64 re 1/6 1/2))) (sqrt.f64 (sin.f64 im))) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 (sin.f64 im) re) (.f64 re (fma.f64 re 1/6 1/2)) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 (sin.f64 im) (cbrt.f64 (pow.f64 (+.f64 re 1) 2))) (cbrt.f64 (+.f64 re 1)) (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))))
(fma.f64 (.f64 (sin.f64 im) (sqrt.f64 (+.f64 re 1))) (sqrt.f64 (+.f64 re 1)) (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))))
(fma.f64 (.f64 (+.f64 re 1) (cbrt.f64 (pow.f64 (sin.f64 im) 2))) (cbrt.f64 (sin.f64 im)) (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))))
(fma.f64 (.f64 (+.f64 re 1) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)) (.f64 (sin.f64 im) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))))
(fma.f64 (.f64 (sin.f64 im) (.f64 re re)) (fma.f64 re 1/6 1/2) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 (sin.f64 im) (fma.f64 re 1/6 1/2)) (.f64 re re) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 (sin.f64 im) (cbrt.f64 (.f64 (pow.f64 (fma.f64 re 1/6 1/2) 2) (pow.f64 re 4)))) (cbrt.f64 (.f64 (.f64 re re) (fma.f64 re 1/6 1/2))) (*.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 (sin.f64 im) (.f64 re (sqrt.f64 (fma.f64 re 1/6 1/2)))) (.f64 re (sqrt.f64 (fma.f64 re 1/6 1/2))) (.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)) (cbrt.f64 (pow.f64 (sin.f64 im) 2))) (cbrt.f64 (sin.f64 im)) (.f64 (sin.f64 im) (+.f64 re 1)))
(fma.f64 (.f64 (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)) (.f64 (sin.f64 im) (+.f64 re 1)))
(+.f64 0 (*.f64 re 1/6))
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(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) 1))
(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))
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (.f64 (cbrt.f64 re) (.f64 re (fma.f64 re 1/6 1/2))) (+.f64 re 1))
(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))
(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))
(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))
(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))
(fma.f64 (sqrt.f64 (.f64 re 1/6)) (.f64 (sqrt.f64 (.f64 re 1/6)) (.f64 re re)) (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)))
(fma.f64 (sqrt.f64 (+.f64 re 1)) (sqrt.f64 (+.f64 re 1)) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)))
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) 1))
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (.f64 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1) 1))
(fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) (.f64 re (fma.f64 re 1/6 1/2))) (+.f64 re 1))
(fma.f64 (sqrt.f64 re) (.f64 (sqrt.f64 re) 1) (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) 1))
(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))
(fma.f64 (pow.f64 re 3) 1/6 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)))
(fma.f64 (+.f64 1 (pow.f64 re 3)) (/.f64 1 (-.f64 (fma.f64 re re 1) re)) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)))
(fma.f64 (fma.f64 re re -1) (/.f64 1 (+.f64 re -1)) (.f64 (.f64 re re) (fma.f64 re 1/6 1/2)))
(fma.f64 (*.f64 re (fma.f64 re 1/6 1/2)) re (+.f64 re 1))
(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)
(fma.f64 (.f64 (cbrt.f64 (.f64 1/6 (pow.f64 re 3))) (cbrt.f64 (.f64 1/6 (pow.f64 re 3)))) (cbrt.f64 (.f64 1/6 (pow.f64 re 3))) (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)))
(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)
(fma.f64 (sqrt.f64 (.f64 1/6 (pow.f64 re 3))) (sqrt.f64 (.f64 1/6 (pow.f64 re 3))) (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)))
(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))
(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))
(fma.f64 (.f64 re (sqrt.f64 (.f64 re 1/6))) (.f64 re (sqrt.f64 (.f64 re 1/6))) (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)))
(fma.f64 (.f64 (sqrt.f64 (.f64 re 1/6)) re) (.f64 (sqrt.f64 (.f64 re 1/6)) re) (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)))
(fma.f64 (.f64 (.f64 re 1/6) re) re (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)))
(fma.f64 (.f64 (.f64 re re) 1/6) re (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)))
(fma.f64 (.f64 (.f64 re re) (cbrt.f64 (pow.f64 (.f64 re 1/6) 2))) (cbrt.f64 (.f64 re 1/6)) (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)))
(fma.f64 (.f64 (.f64 re re) (sqrt.f64 (.f64 re 1/6))) (sqrt.f64 (.f64 re 1/6)) (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)))
(fma.f64 (.f64 (.f64 re 1/6) (cbrt.f64 (pow.f64 re 4))) (pow.f64 (cbrt.f64 re) 2) (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)))
(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))
(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))
(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))

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series3.0ms (0%)

Counts

1 → 21

Calls

6 calls:

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

rewrite44.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify44.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

582×	`fma-neg_binary64`
537×	`div-sub_binary64`
399×	`cancel-sign-sub-inv_binary64`
246×	`fma-def_binary64`
242×	`log-prod_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	100	459
1	250	434
2	851	434
3	3913	434

Stop Event

1×	node limit

Counts

61 → 50

Calls

Call 1

Inputs
im
(*.f64 re im)
(+.f64 im (*.f64 re im))
(+.f64 im (*.f64 re im))
(+.f64 im (*.f64 re im))
(*.f64 re im)
(+.f64 im (*.f64 re im))
(+.f64 im (*.f64 re im))
(+.f64 im (*.f64 re im))
(*.f64 (+.f64 1 re) im)
(*.f64 (+.f64 1 re) im)
(*.f64 (+.f64 1 re) im)
(*.f64 (+.f64 1 re) im)
(*.f64 (+.f64 1 re) im)
(*.f64 (+.f64 1 re) im)
(*.f64 (+.f64 1 re) im)
(*.f64 (+.f64 1 re) im)
(.f64 -1 (.f64 im (-.f64 (*.f64 -1 re) 1)))
(.f64 -1 (.f64 im (-.f64 (*.f64 -1 re) 1)))
(.f64 -1 (.f64 im (-.f64 (*.f64 -1 re) 1)))
(.f64 -1 (.f64 im (-.f64 (*.f64 -1 re) 1)))
(-.f64 (+.f64 1 (fma.f64 re im im)) 1)
(-.f64 (/.f64 (pow.f64 (.f64 re im) 2) (-.f64 (.f64 re im) im)) (/.f64 (.f64 im im) (-.f64 (.f64 re im) im)))
(*.f64 im (+.f64 re 1))
(*.f64 (fma.f64 re im im) 1)
(*.f64 1 (fma.f64 re im im))
(*.f64 (cbrt.f64 (fma.f64 re im im)) (pow.f64 (cbrt.f64 (fma.f64 re im im)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 re im im)) 2) (cbrt.f64 (fma.f64 re im im)))
(*.f64 (sqrt.f64 (fma.f64 re im im)) (sqrt.f64 (fma.f64 re im im)))
(.f64 (+.f64 (pow.f64 (.f64 re im) 3) (pow.f64 im 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 re im) 2) (.f64 im (-.f64 im (*.f64 re im))))))
(.f64 (-.f64 (pow.f64 (.f64 re im) 2) (.f64 im im)) (/.f64 1 (-.f64 (.f64 re im) im)))
(*.f64 (+.f64 re 1) im)
(.f64 (.f64 (+.f64 re 1) 1) im)
(.f64 (.f64 (+.f64 re 1) (pow.f64 (cbrt.f64 im) 2)) (cbrt.f64 im))
(.f64 (.f64 (+.f64 re 1) (sqrt.f64 im)) (sqrt.f64 im))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 re im) 2) (.f64 im (-.f64 im (.f64 re im)))) (+.f64 (pow.f64 (.f64 re im) 3) (pow.f64 im 3))))
(/.f64 1 (/.f64 (-.f64 (.f64 re im) im) (-.f64 (pow.f64 (.f64 re im) 2) (*.f64 im im))))
(/.f64 (+.f64 (pow.f64 (.f64 re im) 3) (pow.f64 im 3)) (+.f64 (pow.f64 (.f64 re im) 2) (.f64 im (-.f64 im (.f64 re im)))))
(/.f64 (+.f64 (pow.f64 (.f64 re im) 3) (pow.f64 im 3)) (+.f64 (.f64 im im) (-.f64 (pow.f64 (.f64 re im) 2) (.f64 re (*.f64 im im)))))
(/.f64 (-.f64 (pow.f64 (.f64 re im) 2) (.f64 im im)) (-.f64 (*.f64 re im) im))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 re im) 3) (pow.f64 im 3))) (neg.f64 (+.f64 (pow.f64 (.f64 re im) 2) (.f64 im (-.f64 im (.f64 re im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 re im) 2) (.f64 im im))) (neg.f64 (-.f64 (*.f64 re im) im)))
(/.f64 (-.f64 (.f64 im im) (pow.f64 (.f64 re im) 2)) (-.f64 im (*.f64 re im)))
(pow.f64 (fma.f64 re im im) 1)
(pow.f64 (pow.f64 (fma.f64 re im im) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 re im im)) 3)
(pow.f64 (sqrt.f64 (fma.f64 re im im)) 2)
(sqrt.f64 (pow.f64 (fma.f64 re im im) 2))
(log.f64 (exp.f64 (fma.f64 re im im)))
(cbrt.f64 (pow.f64 (fma.f64 re im im) 3))
(expm1.f64 (log1p.f64 (fma.f64 re im im)))
(log1p.f64 (expm1.f64 (fma.f64 re im im)))
(exp.f64 (log.f64 (fma.f64 re im im)))
(fma.f64 re im im)
(fma.f64 im re im)
(fma.f64 1 im (*.f64 re im))
(fma.f64 1 (*.f64 re im) im)
(fma.f64 (pow.f64 (cbrt.f64 im) 2) (cbrt.f64 im) (*.f64 re im))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 re im)) 2) (cbrt.f64 (.f64 re im)) im)
(fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 re im))
(fma.f64 (sqrt.f64 (.f64 re im)) (sqrt.f64 (.f64 re im)) im)

Outputs
im
(*.f64 re im)
(*.f64 im re)
(+.f64 im (*.f64 re im))
(fma.f64 im re im)
(+.f64 im (*.f64 re im))
(fma.f64 im re im)
(+.f64 im (*.f64 re im))
(fma.f64 im re im)
(*.f64 re im)
(*.f64 im re)
(+.f64 im (*.f64 re im))
(fma.f64 im re im)
(+.f64 im (*.f64 re im))
(fma.f64 im re im)
(+.f64 im (*.f64 re im))
(fma.f64 im re im)
(*.f64 (+.f64 1 re) im)
(fma.f64 im re im)
(*.f64 (+.f64 1 re) im)
(fma.f64 im re im)
(*.f64 (+.f64 1 re) im)
(fma.f64 im re im)
(*.f64 (+.f64 1 re) im)
(fma.f64 im re im)
(*.f64 (+.f64 1 re) im)
(fma.f64 im re im)
(*.f64 (+.f64 1 re) im)
(fma.f64 im re im)
(*.f64 (+.f64 1 re) im)
(fma.f64 im re im)
(*.f64 (+.f64 1 re) im)
(fma.f64 im re im)
(.f64 -1 (.f64 im (-.f64 (*.f64 -1 re) 1)))
(fma.f64 im re im)
(.f64 -1 (.f64 im (-.f64 (*.f64 -1 re) 1)))
(fma.f64 im re im)
(.f64 -1 (.f64 im (-.f64 (*.f64 -1 re) 1)))
(fma.f64 im re im)
(.f64 -1 (.f64 im (-.f64 (*.f64 -1 re) 1)))
(fma.f64 im re im)
(-.f64 (+.f64 1 (fma.f64 re im im)) 1)
(fma.f64 im re im)
(-.f64 (/.f64 (pow.f64 (.f64 re im) 2) (-.f64 (.f64 re im) im)) (/.f64 (.f64 im im) (-.f64 (.f64 re im) im)))
(fma.f64 im re im)
(*.f64 im (+.f64 re 1))
(fma.f64 im re im)
(*.f64 (fma.f64 re im im) 1)
(fma.f64 im re im)
(*.f64 1 (fma.f64 re im im))
(fma.f64 im re im)
(*.f64 (cbrt.f64 (fma.f64 re im im)) (pow.f64 (cbrt.f64 (fma.f64 re im im)) 2))
(fma.f64 im re im)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 re im im)) 2) (cbrt.f64 (fma.f64 re im im)))
(fma.f64 im re im)
(*.f64 (sqrt.f64 (fma.f64 re im im)) (sqrt.f64 (fma.f64 re im im)))
(fma.f64 im re im)
(.f64 (+.f64 (pow.f64 (.f64 re im) 3) (pow.f64 im 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 re im) 2) (.f64 im (-.f64 im (*.f64 re im))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) 1) (+.f64 (pow.f64 (.f64 im re) 2) (.f64 im (-.f64 im (*.f64 im re)))))
(/.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) (fma.f64 im (-.f64 im (.f64 im re)) (pow.f64 (*.f64 im re) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) (fma.f64 im (fma.f64 im (neg.f64 re) im) (pow.f64 (.f64 im re) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) (fma.f64 im im (.f64 (*.f64 im re) (fma.f64 im re (neg.f64 im)))))
(.f64 (-.f64 (pow.f64 (.f64 re im) 2) (.f64 im im)) (/.f64 1 (-.f64 (.f64 re im) im)))
(fma.f64 im re im)
(*.f64 (+.f64 re 1) im)
(fma.f64 im re im)
(.f64 (.f64 (+.f64 re 1) 1) im)
(fma.f64 im re im)
(.f64 (.f64 (+.f64 re 1) (pow.f64 (cbrt.f64 im) 2)) (cbrt.f64 im))
(fma.f64 im re im)
(.f64 (.f64 (+.f64 re 1) (sqrt.f64 im)) (sqrt.f64 im))
(fma.f64 im re im)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 re im) 2) (.f64 im (-.f64 im (.f64 re im)))) (+.f64 (pow.f64 (.f64 re im) 3) (pow.f64 im 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) 1) (+.f64 (pow.f64 (.f64 im re) 2) (.f64 im (-.f64 im (*.f64 im re)))))
(/.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) (fma.f64 im (-.f64 im (.f64 im re)) (pow.f64 (*.f64 im re) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) (fma.f64 im (fma.f64 im (neg.f64 re) im) (pow.f64 (.f64 im re) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) (fma.f64 im im (.f64 (*.f64 im re) (fma.f64 im re (neg.f64 im)))))
(/.f64 1 (/.f64 (-.f64 (.f64 re im) im) (-.f64 (pow.f64 (.f64 re im) 2) (*.f64 im im))))
(fma.f64 im re im)
(/.f64 (+.f64 (pow.f64 (.f64 re im) 3) (pow.f64 im 3)) (+.f64 (pow.f64 (.f64 re im) 2) (.f64 im (-.f64 im (.f64 re im)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) 1) (+.f64 (pow.f64 (.f64 im re) 2) (.f64 im (-.f64 im (*.f64 im re)))))
(/.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) (fma.f64 im (-.f64 im (.f64 im re)) (pow.f64 (*.f64 im re) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) (fma.f64 im (fma.f64 im (neg.f64 re) im) (pow.f64 (.f64 im re) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) (fma.f64 im im (.f64 (*.f64 im re) (fma.f64 im re (neg.f64 im)))))
(/.f64 (+.f64 (pow.f64 (.f64 re im) 3) (pow.f64 im 3)) (+.f64 (.f64 im im) (-.f64 (pow.f64 (.f64 re im) 2) (.f64 re (*.f64 im im)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) 1) (+.f64 (pow.f64 (.f64 im re) 2) (.f64 im (-.f64 im (*.f64 im re)))))
(/.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) (fma.f64 im (-.f64 im (.f64 im re)) (pow.f64 (*.f64 im re) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) (fma.f64 im (fma.f64 im (neg.f64 re) im) (pow.f64 (.f64 im re) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) (fma.f64 im im (.f64 (*.f64 im re) (fma.f64 im re (neg.f64 im)))))
(/.f64 (-.f64 (pow.f64 (.f64 re im) 2) (.f64 im im)) (-.f64 (*.f64 re im) im))
(fma.f64 im re im)
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 re im) 3) (pow.f64 im 3))) (neg.f64 (+.f64 (pow.f64 (.f64 re im) 2) (.f64 im (-.f64 im (.f64 re im))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) 1) (+.f64 (pow.f64 (.f64 im re) 2) (.f64 im (-.f64 im (*.f64 im re)))))
(/.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) (fma.f64 im (-.f64 im (.f64 im re)) (pow.f64 (*.f64 im re) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) (fma.f64 im (fma.f64 im (neg.f64 re) im) (pow.f64 (.f64 im re) 2)))
(/.f64 (+.f64 (pow.f64 (.f64 im re) 3) (pow.f64 im 3)) (fma.f64 im im (.f64 (*.f64 im re) (fma.f64 im re (neg.f64 im)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 re im) 2) (.f64 im im))) (neg.f64 (-.f64 (*.f64 re im) im)))
(fma.f64 im re im)
(/.f64 (-.f64 (.f64 im im) (pow.f64 (.f64 re im) 2)) (-.f64 im (*.f64 re im)))
(fma.f64 im re im)
(pow.f64 (fma.f64 re im im) 1)
(fma.f64 im re im)
(pow.f64 (pow.f64 (fma.f64 re im im) 3) 1/3)
(fma.f64 im re im)
(pow.f64 (cbrt.f64 (fma.f64 re im im)) 3)
(fma.f64 im re im)
(pow.f64 (sqrt.f64 (fma.f64 re im im)) 2)
(fma.f64 im re im)
(sqrt.f64 (pow.f64 (fma.f64 re im im) 2))
(fma.f64 im re im)
(log.f64 (exp.f64 (fma.f64 re im im)))
(fma.f64 im re im)
(cbrt.f64 (pow.f64 (fma.f64 re im im) 3))
(fma.f64 im re im)
(expm1.f64 (log1p.f64 (fma.f64 re im im)))
(fma.f64 im re im)
(log1p.f64 (expm1.f64 (fma.f64 re im im)))
(fma.f64 im re im)
(exp.f64 (log.f64 (fma.f64 re im im)))
(fma.f64 im re im)
(fma.f64 re im im)
(fma.f64 im re im)
(fma.f64 im re im)
(fma.f64 1 im (*.f64 re im))
(fma.f64 im re im)
(fma.f64 1 (*.f64 re im) im)
(fma.f64 im re im)
(fma.f64 (pow.f64 (cbrt.f64 im) 2) (cbrt.f64 im) (*.f64 re im))
(fma.f64 im re im)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 re im)) 2) (cbrt.f64 (.f64 re im)) im)
(fma.f64 im re im)
(fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 re im))
(fma.f64 im re im)
(fma.f64 (sqrt.f64 (.f64 re im)) (sqrt.f64 (.f64 re im)) im)
(fma.f64 im re im)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 4 computations (60% saved)

series3.0ms (0%)

Counts

1 → 4

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	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)

rewrite36.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

462×	`pow1_binary64`
440×	`add-sqr-sqrt_binary64`
435×	`*-un-lft-identity_binary64`
422×	`add-log-exp_binary64`
422×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	97	6
2	1146	6

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

simplify41.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

592×	`fma-def_binary64`
527×	`log-prod_binary64`
327×	`distribute-rgt-out_binary64`
319×	`distribute-rgt-in_binary64`
310×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	208
1	132	175
2	421	139
3	2032	128
4	5584	128

Stop Event

1×	node limit

Counts

15 → 30

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 (*.f64 (sin.f64 im) re)) 1)
(pow.f64 (*.f64 (sin.f64 im) re) 1)
(pow.f64 (pow.f64 (*.f64 (sin.f64 im) re) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) re)) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 im) re)) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 im) re) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) re))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) re) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 im) re)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 im) re)))
(exp.f64 (log.f64 (*.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 (pow.f64 im 3) (.f64 re -1/6)))
(.f64 re (+.f64 (.f64 -1/6 (pow.f64 im 3)) im))
(*.f64 re (fma.f64 -1/6 (pow.f64 im 3) im))
(+.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 re im (.f64 re (+.f64 (.f64 -1/6 (pow.f64 im 3)) (*.f64 1/120 (pow.f64 im 5)))))
(.f64 re (+.f64 im (fma.f64 1/120 (pow.f64 im 5) (.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 re im (.f64 re (+.f64 (.f64 -1/6 (pow.f64 im 3)) (.f64 1/120 (pow.f64 im 5))))))
(.f64 re (+.f64 (fma.f64 1/120 (pow.f64 im 5) im) (fma.f64 -1/5040 (pow.f64 im 7) (.f64 -1/6 (pow.f64 im 3)))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 im) re)) 1)
(+.f64 (+.f64 1 (*.f64 re (sin.f64 im))) -1)
(+.f64 (*.f64 re (sin.f64 im)) 0)
(*.f64 re (sin.f64 im))
(pow.f64 (*.f64 (sin.f64 im) re) 1)
(+.f64 (+.f64 1 (*.f64 re (sin.f64 im))) -1)
(+.f64 (*.f64 re (sin.f64 im)) 0)
(*.f64 re (sin.f64 im))
(pow.f64 (pow.f64 (*.f64 (sin.f64 im) re) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 re (sin.f64 im))) -1)
(+.f64 (*.f64 re (sin.f64 im)) 0)
(*.f64 re (sin.f64 im))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) re)) 3)
(+.f64 (+.f64 1 (*.f64 re (sin.f64 im))) -1)
(+.f64 (*.f64 re (sin.f64 im)) 0)
(*.f64 re (sin.f64 im))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 im) re)) 2)
(+.f64 (+.f64 1 (*.f64 re (sin.f64 im))) -1)
(+.f64 (*.f64 re (sin.f64 im)) 0)
(*.f64 re (sin.f64 im))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 im) re) 2))
(+.f64 (+.f64 1 (*.f64 re (sin.f64 im))) -1)
(+.f64 (*.f64 re (sin.f64 im)) 0)
(*.f64 re (sin.f64 im))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) re))
(+.f64 (+.f64 1 (*.f64 re (sin.f64 im))) -1)
(+.f64 (*.f64 re (sin.f64 im)) 0)
(*.f64 re (sin.f64 im))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) re) 3))
(+.f64 (+.f64 1 (*.f64 re (sin.f64 im))) -1)
(+.f64 (*.f64 re (sin.f64 im)) 0)
(*.f64 re (sin.f64 im))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 im) re)))
(+.f64 (+.f64 1 (*.f64 re (sin.f64 im))) -1)
(+.f64 (*.f64 re (sin.f64 im)) 0)
(*.f64 re (sin.f64 im))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 im) re)))
(+.f64 (+.f64 1 (*.f64 re (sin.f64 im))) -1)
(+.f64 (*.f64 re (sin.f64 im)) 0)
(*.f64 re (sin.f64 im))
(exp.f64 (log.f64 (*.f64 (sin.f64 im) re)))
(+.f64 (+.f64 1 (*.f64 re (sin.f64 im))) -1)
(+.f64 (*.f64 re (sin.f64 im)) 0)
(*.f64 re (sin.f64 im))

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 10 computations (54.5% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite38.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`pow1_binary64`
685×	`add-log-exp_binary64`
685×	`log1p-expm1-u_binary64`
685×	`expm1-log1p-u_binary64`
668×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	162	12
2	1911	12

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

674×	`exp-sum_binary64`
656×	`log-prod_binary64`
566×	`fma-def_binary64`
354×	`distribute-rgt-in_binary64`
338×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	514
1	205	514
2	722	500
3	2023	482
4	6162	482

Stop Event

1×	node limit

Counts

37 → 34

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (pow.f64 re 2) im))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (.f64 1/2 (.f64 (pow.f64 re 2) im)))
(+.f64 (.f64 1/240 (.f64 (pow.f64 re 2) (pow.f64 im 5))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (.f64 1/2 (.f64 (pow.f64 re 2) im))))
(+.f64 (.f64 1/240 (.f64 (pow.f64 re 2) (pow.f64 im 5))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (+.f64 (.f64 -1/10080 (.f64 (pow.f64 re 2) (pow.f64 im 7))) (.f64 1/2 (.f64 (pow.f64 re 2) im)))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(-.f64 (+.f64 1 (.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))) 1)
(pow.f64 (.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re))) 1)
(pow.f64 (pow.f64 (.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))) 3)
(pow.f64 (.f64 re (sqrt.f64 (.f64 1/2 (sin.f64 im)))) 2)
(sqrt.f64 (.f64 (.f64 1/4 (pow.f64 (sin.f64 im) 2)) (pow.f64 re 4)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (sin.f64 im)) (*.f64 re re)))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/2 (sin.f64 im)) 3) (pow.f64 (*.f64 re re) 3)))
(cbrt.f64 (.f64 (pow.f64 (.f64 re re) 3) (pow.f64 (*.f64 1/2 (sin.f64 im)) 3)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))))
(exp.f64 (log.f64 (.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))))

Outputs
(.f64 1/2 (.f64 (pow.f64 re 2) im))
(.f64 1/2 (.f64 im (*.f64 re re)))
(.f64 1/2 (.f64 re (*.f64 re im)))
(+.f64 (.f64 -1/12 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (.f64 1/2 (.f64 (pow.f64 re 2) im)))
(fma.f64 -1/12 (.f64 (pow.f64 im 3) (.f64 re re)) (.f64 1/2 (.f64 im (*.f64 re re))))
(fma.f64 1/2 (.f64 re (.f64 re im)) (.f64 (.f64 re re) (*.f64 (pow.f64 im 3) -1/12)))
(.f64 (.f64 re re) (+.f64 (.f64 1/2 im) (.f64 -1/12 (pow.f64 im 3))))
(.f64 (.f64 re re) (fma.f64 -1/12 (pow.f64 im 3) (*.f64 1/2 im)))
(+.f64 (.f64 1/240 (.f64 (pow.f64 re 2) (pow.f64 im 5))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (.f64 1/2 (.f64 (pow.f64 re 2) im))))
(fma.f64 1/240 (.f64 (pow.f64 im 5) (.f64 re re)) (fma.f64 -1/12 (.f64 (pow.f64 im 3) (.f64 re re)) (.f64 1/2 (.f64 im (*.f64 re re)))))
(fma.f64 1/240 (.f64 (.f64 (pow.f64 im 5) re) re) (fma.f64 1/2 (.f64 re (.f64 re im)) (.f64 (.f64 re re) (*.f64 (pow.f64 im 3) -1/12))))
(fma.f64 -1/12 (.f64 re (.f64 re (pow.f64 im 3))) (.f64 (.f64 re re) (+.f64 (.f64 1/240 (pow.f64 im 5)) (.f64 1/2 im))))
(.f64 (.f64 re re) (+.f64 (.f64 -1/12 (pow.f64 im 3)) (fma.f64 1/240 (pow.f64 im 5) (.f64 1/2 im))))
(+.f64 (.f64 1/240 (.f64 (pow.f64 re 2) (pow.f64 im 5))) (+.f64 (.f64 -1/12 (.f64 (pow.f64 re 2) (pow.f64 im 3))) (+.f64 (.f64 -1/10080 (.f64 (pow.f64 re 2) (pow.f64 im 7))) (.f64 1/2 (.f64 (pow.f64 re 2) im)))))
(fma.f64 1/240 (.f64 (pow.f64 im 5) (.f64 re re)) (fma.f64 -1/12 (.f64 (pow.f64 im 3) (.f64 re re)) (fma.f64 -1/10080 (.f64 (pow.f64 im 7) (.f64 re re)) (.f64 1/2 (.f64 im (*.f64 re re))))))
(fma.f64 1/240 (.f64 (.f64 (pow.f64 im 5) re) re) (fma.f64 -1/12 (.f64 re (.f64 re (pow.f64 im 3))) (fma.f64 1/2 (.f64 re (.f64 re im)) (.f64 -1/10080 (.f64 (pow.f64 im 7) (*.f64 re re))))))
(+.f64 (.f64 (.f64 re re) (+.f64 (.f64 1/2 im) (.f64 -1/10080 (pow.f64 im 7)))) (.f64 (.f64 re re) (+.f64 (.f64 -1/12 (pow.f64 im 3)) (.f64 1/240 (pow.f64 im 5)))))
(.f64 (.f64 re re) (+.f64 (fma.f64 -1/10080 (pow.f64 im 7) (.f64 1/2 im)) (fma.f64 -1/12 (pow.f64 im 3) (.f64 1/240 (pow.f64 im 5)))))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (pow.f64 re 2)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(-.f64 (+.f64 1 (.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))) 1)
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(pow.f64 (.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re))) 1)
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(pow.f64 (pow.f64 (.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re))) 3) 1/3)
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))) 3)
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(pow.f64 (.f64 re (sqrt.f64 (.f64 1/2 (sin.f64 im)))) 2)
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(sqrt.f64 (.f64 (.f64 1/4 (pow.f64 (sin.f64 im) 2)) (pow.f64 re 4)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (sin.f64 im)) (*.f64 re re)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(cbrt.f64 (pow.f64 (.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re))) 3))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(cbrt.f64 (.f64 (pow.f64 (.f64 1/2 (sin.f64 im)) 3) (pow.f64 (*.f64 re re) 3)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(cbrt.f64 (.f64 (pow.f64 (.f64 re re) 3) (pow.f64 (*.f64 1/2 (sin.f64 im)) 3)))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(expm1.f64 (log1p.f64 (.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(log1p.f64 (expm1.f64 (.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))
(exp.f64 (log.f64 (.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))))
(.f64 (sin.f64 im) (.f64 1/2 (*.f64 re re)))
(.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (+.f64 re 1) (sin.f64 im))
✓	0.2b	(+.f64 1 (*.f64 (+.f64 re 1) (sin.f64 im)))
✓	3.7b	(-.f64 (+.f64 1 (*.f64 (+.f64 re 1) (sin.f64 im))) 1)

Compiler

Compiled 34 to 21 computations (38.2% saved)

series3.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite59.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

627×	`unpow-prod-down_binary64`
569×	`prod-diff_binary64`
509×	`fma-def_binary64`
407×	`log-prod_binary64`
237×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	202	19
2	2891	19

Stop Event

1×	node limit

Counts

2 → 193

Calls

Call 1

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

Outputs

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

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

667×	`cancel-sign-sub-inv_binary64`
583×	`associate-/l*_binary64`
300×	`distribute-rgt-neg-in_binary64`
280×	`fma-neg_binary64`
270×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	394	3779
1	922	3689
2	2797	3626

Stop Event

1×	node limit

Counts

241 → 282

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 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))
(+.f64 (sin.f64 im) 1)
(+.f64 1 (+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re)))
(+.f64 1 (+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re)))
(+.f64 1 (+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re)))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(*.f64 (sin.f64 im) re)
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
(+.f64 (sin.f64 im) (+.f64 1 (*.f64 (sin.f64 im) re)))
1
(+.f64 1 (*.f64 (+.f64 1 re) im))
(+.f64 1 (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im)))
(+.f64 (.f64 1/120 (.f64 (+.f64 1 re) (pow.f64 im 5))) (+.f64 1 (+.f64 (.f64 -1/6 (.f64 (+.f64 1 re) (pow.f64 im 3))) (*.f64 (+.f64 1 re) im))))
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 (*.f64 (sin.f64 im) (+.f64 1 re)) 1)
(+.f64 1 (fma.f64 (+.f64 1 re) (sin.f64 im) -1))
(+.f64 1 (*.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) -1) 1))
(+.f64 (sin.f64 im) (*.f64 re (sin.f64 im)))
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (*.f64 (+.f64 1 re) (sin.f64 im)) 0)
(+.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) -1)
(+.f64 0 (*.f64 (+.f64 1 re) (sin.f64 im)))
(+.f64 -1 (fma.f64 (+.f64 1 re) (sin.f64 im) 1))
(+.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) -1) 1)
(+.f64 (*.f64 re (sin.f64 im)) (sin.f64 im))
(+.f64 (*.f64 (sin.f64 im) re) (sin.f64 im))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 1 re))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 1 re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 1 re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 1 re)))))
(.f64 1 (.f64 (+.f64 1 re) (sin.f64 im)))
(*.f64 (+.f64 1 re) (sin.f64 im))
(*.f64 (sin.f64 im) (+.f64 1 re))
(.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 1)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (.f64 (cbrt.f64 (sin.f64 im)) (+.f64 1 re)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (pow.f64 (.f64 (cbrt.f64 (sin.f64 im)) (+.f64 1 re)) 1))
(.f64 (cbrt.f64 (.f64 (+.f64 1 re) (sin.f64 im))) (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 re) (sin.f64 im))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 1 re) (sin.f64 im))) 2) (cbrt.f64 (*.f64 (+.f64 1 re) (sin.f64 im))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 re)) 2) (.f64 (cbrt.f64 (+.f64 1 re)) (sin.f64 im)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 1 re)) 2) (pow.f64 (.f64 (cbrt.f64 (+.f64 1 re)) (sin.f64 im)) 1))
(.f64 (sqrt.f64 (sin.f64 im)) (.f64 (sqrt.f64 (sin.f64 im)) (+.f64 1 re)))
(.f64 (sqrt.f64 (sin.f64 im)) (pow.f64 (.f64 (sqrt.f64 (sin.f64 im)) (+.f64 1 re)) 1))
(.f64 (sqrt.f64 (.f64 (+.f64 1 re) (sin.f64 im))) (sqrt.f64 (*.f64 (+.f64 1 re) (sin.f64 im))))
(.f64 (sqrt.f64 (+.f64 1 re)) (.f64 (sqrt.f64 (+.f64 1 re)) (sin.f64 im)))
(.f64 (sqrt.f64 (+.f64 1 re)) (pow.f64 (.f64 (sqrt.f64 (+.f64 1 re)) (sin.f64 im)) 1))
(*.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) (fma.f64 (+.f64 1 re) (sin.f64 im) 2))))
(*.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 3) -1) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) (fma.f64 (+.f64 1 re) (sin.f64 im) 2))) 1))
(*.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) -1) (/.f64 1 (fma.f64 (+.f64 1 re) (sin.f64 im) 2)))
(*.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) -1) (pow.f64 (/.f64 1 (fma.f64 (+.f64 1 re) (sin.f64 im) 2)) 1))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 1))
(.f64 (.f64 (+.f64 1 re) (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) (cbrt.f64 (sin.f64 im)))
(.f64 (.f64 (+.f64 1 re) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)))
(.f64 (.f64 (sin.f64 im) (pow.f64 (cbrt.f64 (+.f64 1 re)) 2)) (cbrt.f64 (+.f64 1 re)))
(.f64 (.f64 (sin.f64 im) (sqrt.f64 (+.f64 1 re))) (sqrt.f64 (+.f64 1 re)))
(.f64 (pow.f64 1 1/3) (.f64 (+.f64 1 re) (sin.f64 im)))
(.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (.f64 (+.f64 1 re) (sin.f64 im)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 1 re) (sin.f64 im)))) 3))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 1) 1) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 1) 1))
(.f64 (pow.f64 (.f64 (+.f64 1 re) (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) 1) (cbrt.f64 (sin.f64 im)))
(.f64 (pow.f64 (.f64 (+.f64 1 re) (sqrt.f64 (sin.f64 im))) 1) (sqrt.f64 (sin.f64 im)))
(.f64 (pow.f64 (.f64 (sin.f64 im) (pow.f64 (cbrt.f64 (+.f64 1 re)) 2)) 1) (cbrt.f64 (+.f64 1 re)))
(.f64 (pow.f64 (.f64 (sin.f64 im) (sqrt.f64 (+.f64 1 re))) 1) (sqrt.f64 (+.f64 1 re)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 1 re) (sin.f64 im)))) 2) 3) (cbrt.f64 (*.f64 (+.f64 1 re) (sin.f64 im))))
(.f64 (pow.f64 (sqrt.f64 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (*.f64 (+.f64 1 re) (sin.f64 im)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (+.f64 1 re) (sin.f64 im)) 3/2) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (*.f64 (+.f64 1 re) (sin.f64 im)) 2) (+.f64 1 re)) 1/3) (cbrt.f64 (sin.f64 im)))
(.f64 (pow.f64 (.f64 (pow.f64 (*.f64 (+.f64 1 re) (sin.f64 im)) 2) (sin.f64 im)) 1/3) (cbrt.f64 (+.f64 1 re)))
(.f64 (pow.f64 (.f64 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 2) (pow.f64 (cbrt.f64 (.f64 (+.f64 1 re) (sin.f64 im))) 2)) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 1 re) (sin.f64 im)))))
(.f64 (pow.f64 (.f64 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 2) (sqrt.f64 (.f64 (+.f64 1 re) (sin.f64 im)))) 1/3) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 1 re) (sin.f64 im)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) (fma.f64 (+.f64 1 re) (sin.f64 im) 2)) (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 3) -1)))
(/.f64 1 (/.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 2) (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) -1)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) (fma.f64 (+.f64 1 re) (sin.f64 im) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) (-.f64 1 (*.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) -1) (fma.f64 (+.f64 1 re) (sin.f64 im) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) (fma.f64 (+.f64 1 re) (sin.f64 im) 2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) -1)) (neg.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 2)))
(/.f64 (+.f64 1 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) -1) 2) (fma.f64 (+.f64 1 re) (sin.f64 im) -1))))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) -1) 2)) (-.f64 1 (fma.f64 (+.f64 1 re) (sin.f64 im) -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 re 3)) (sin.f64 im)) (-.f64 (fma.f64 re re 1) re))
(/.f64 (*.f64 (fma.f64 re re -1) (sin.f64 im)) (+.f64 re -1))
(/.f64 (*.f64 (sin.f64 im) (+.f64 1 (pow.f64 re 3))) (-.f64 (fma.f64 re re 1) re))
(/.f64 (*.f64 (sin.f64 im) (fma.f64 re re -1)) (+.f64 re -1))
(pow.f64 (*.f64 (+.f64 1 re) (sin.f64 im)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 re) (sin.f64 im)) 2) 1/2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 1 re) (sin.f64 im))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 1 re) (sin.f64 im))) 2)
(pow.f64 (pow.f64 (*.f64 (+.f64 1 re) (sin.f64 im)) 3) 1/3)
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) (fma.f64 (+.f64 1 re) (sin.f64 im) 2)) (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 3) -1)) -1)
(pow.f64 (/.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 2) (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) -1)) -1)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 1 re) (sin.f64 im)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 im)) (+.f64 1 re)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 re) (sin.f64 im)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 1 re) (sin.f64 im)) 3))
(hypot.f64 (sqrt.f64 (.f64 (+.f64 1 re) (sin.f64 im))) (sqrt.f64 (.f64 (*.f64 (+.f64 1 re) (sin.f64 im)) (fma.f64 (+.f64 1 re) (sin.f64 im) -1))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 1 re) (sin.f64 im))))
(expm1.f64 (.f64 (log1p.f64 (.f64 (+.f64 1 re) (sin.f64 im))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 1 re) (sin.f64 im))))
(exp.f64 (+.f64 (log1p.f64 re) (log.f64 (sin.f64 im))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 re) (log.f64 (sin.f64 im))) 1))
(fma.f64 1 (sin.f64 im) (*.f64 re (sin.f64 im)))
(fma.f64 1 (sin.f64 im) (*.f64 (sin.f64 im) re))
(fma.f64 1 (*.f64 (+.f64 1 re) (sin.f64 im)) 0)
(fma.f64 1 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) -1)
(fma.f64 1 (fma.f64 (+.f64 1 re) (sin.f64 im) -1) 1)
(fma.f64 re (sin.f64 im) (sin.f64 im))
(fma.f64 (+.f64 1 re) (sin.f64 im) 0)
(fma.f64 (sin.f64 im) 1 (*.f64 re (sin.f64 im)))
(fma.f64 (sin.f64 im) 1 (*.f64 (sin.f64 im) re))
(fma.f64 (sin.f64 im) re (sin.f64 im))
(fma.f64 (sin.f64 im) (+.f64 1 re) 0)
(fma.f64 (*.f64 (+.f64 1 re) (sin.f64 im)) 1 0)
(fma.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 2) (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 1) -1)
(fma.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (*.f64 re (sin.f64 im)))
(fma.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (*.f64 (sin.f64 im) re))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (cbrt.f64 (sin.f64 im)) (*.f64 re (sin.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (cbrt.f64 (sin.f64 im)) (*.f64 (sin.f64 im) re))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (*.f64 (cbrt.f64 (sin.f64 im)) (+.f64 1 re)) 0)
(fma.f64 (cbrt.f64 (.f64 (+.f64 1 re) (sin.f64 im))) (pow.f64 (cbrt.f64 (.f64 (+.f64 1 re) (sin.f64 im))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 1 re) (sin.f64 im))) 2) (cbrt.f64 (.f64 (+.f64 1 re) (sin.f64 im))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 re)) 2) (*.f64 (cbrt.f64 (+.f64 1 re)) (sin.f64 im)) 0)
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) (*.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 1) -1)
(fma.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (sin.f64 im)) (*.f64 re (sin.f64 im)))
(fma.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (sin.f64 im)) (*.f64 (sin.f64 im) re))
(fma.f64 (sqrt.f64 (sin.f64 im)) (*.f64 (sqrt.f64 (sin.f64 im)) (+.f64 1 re)) 0)
(fma.f64 (sqrt.f64 (.f64 (+.f64 1 re) (sin.f64 im))) (sqrt.f64 (.f64 (+.f64 1 re) (sin.f64 im))) 0)
(fma.f64 (sqrt.f64 (+.f64 1 re)) (*.f64 (sqrt.f64 (+.f64 1 re)) (sin.f64 im)) 0)
(fma.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) (fma.f64 (+.f64 1 re) (sin.f64 im) 2))) 0)
(fma.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 3)) (/.f64 1 (fma.f64 (.f64 (+.f64 1 re) (sin.f64 im)) (fma.f64 (+.f64 1 re) (sin.f64 im) -1) 1)) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) -1) (/.f64 1 (fma.f64 (+.f64 1 re) (sin.f64 im) 2)) 0)
(fma.f64 (-.f64 1 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 2)) (/.f64 1 (-.f64 1 (.f64 (+.f64 1 re) (sin.f64 im)))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) -1)) 2) (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) -1)) 1)
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) -1)) (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 1) 0)
(fma.f64 (fma.f64 (sqrt.f64 (sin.f64 im)) (sqrt.f64 (+.f64 1 re)) 1) (-.f64 (sqrt.f64 (*.f64 (+.f64 1 re) (sin.f64 im))) 1) 1)
(fma.f64 (*.f64 (+.f64 1 re) (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) (cbrt.f64 (sin.f64 im)) 0)
(fma.f64 (*.f64 (+.f64 1 re) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)) 0)
(fma.f64 (*.f64 (sin.f64 im) (pow.f64 (cbrt.f64 (+.f64 1 re)) 2)) (cbrt.f64 (+.f64 1 re)) 0)
(fma.f64 (*.f64 (sin.f64 im) (sqrt.f64 (+.f64 1 re))) (sqrt.f64 (+.f64 1 re)) 0)
(-.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (.f64 (+.f64 1 re) (sin.f64 im)))) (/.f64 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 2) (-.f64 1 (*.f64 (+.f64 1 re) (sin.f64 im)))))
(*.f64 1 (fma.f64 (+.f64 1 re) (sin.f64 im) 1))
(*.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 1)
(*.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 2) (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 2) (.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 1))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 2) (pow.f64 (.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 1) 1))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)))
(.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) (.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 1))
(.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) (pow.f64 (.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 1) 1))
(.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 3)) (/.f64 1 (fma.f64 (*.f64 (+.f64 1 re) (sin.f64 im)) (fma.f64 (+.f64 1 re) (sin.f64 im) -1) 1)))
(.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 3)) (pow.f64 (/.f64 1 (fma.f64 (*.f64 (+.f64 1 re) (sin.f64 im)) (fma.f64 (+.f64 1 re) (sin.f64 im) -1) 1)) 1))
(.f64 (-.f64 1 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 2)) (/.f64 1 (-.f64 1 (*.f64 (+.f64 1 re) (sin.f64 im)))))
(.f64 (-.f64 1 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 2)) (pow.f64 (/.f64 1 (-.f64 1 (*.f64 (+.f64 1 re) (sin.f64 im)))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 (+.f64 1 re) (sin.f64 im) 1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1))) 2) 3) (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 3/2) 1/3) (pow.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 3/2) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1))))
(.f64 (pow.f64 (.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1))) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1))))
(/.f64 1 (/.f64 (fma.f64 (.f64 (+.f64 1 re) (sin.f64 im)) (fma.f64 (+.f64 1 re) (sin.f64 im) -1) 1) (+.f64 1 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 3))))
(/.f64 1 (/.f64 (-.f64 1 (.f64 (+.f64 1 re) (sin.f64 im))) (-.f64 1 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 2))))
(/.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 3)) (fma.f64 (.f64 (+.f64 1 re) (sin.f64 im)) (fma.f64 (+.f64 1 re) (sin.f64 im) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 3)) (+.f64 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 2) (-.f64 1 (*.f64 (+.f64 1 re) (sin.f64 im)))))
(/.f64 (-.f64 1 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 2)) (-.f64 1 (.f64 (+.f64 1 re) (sin.f64 im))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 3))) (neg.f64 (fma.f64 (.f64 (+.f64 1 re) (sin.f64 im)) (fma.f64 (+.f64 1 re) (sin.f64 im) -1) 1)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 2))) (neg.f64 (-.f64 1 (.f64 (+.f64 1 re) (sin.f64 im)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 1 re) (sin.f64 im)) 2) 1) (fma.f64 (+.f64 1 re) (sin.f64 im) -1))
(/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 3)) 1) (fma.f64 (*.f64 (+.f64 1 re) (sin.f64 im)) (fma.f64 (+.f64 1 re) (sin.f64 im) -1) 1))
(/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 2)) 1) (-.f64 1 (*.f64 (+.f64 1 re) (sin.f64 im))))
(pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 1)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 2)
(pow.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 3) 1/3)
(pow.f64 (/.f64 (fma.f64 (.f64 (+.f64 1 re) (sin.f64 im)) (fma.f64 (+.f64 1 re) (sin.f64 im) -1) 1) (+.f64 1 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 3))) -1)
(pow.f64 (/.f64 (-.f64 1 (.f64 (+.f64 1 re) (sin.f64 im))) (-.f64 1 (pow.f64 (.f64 (+.f64 1 re) (sin.f64 im)) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 3))
(expm1.f64 (log.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 2)))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)))
(exp.f64 (log1p.f64 (*.f64 (+.f64 1 re) (sin.f64 im))))
(exp.f64 (.f64 (log1p.f64 (.f64 (+.f64 1 re) (sin.f64 im))) 1))
(fma.f64 1 (*.f64 (+.f64 1 re) (sin.f64 im)) 1)
(fma.f64 1 (fma.f64 (+.f64 1 re) (sin.f64 im) 2) -1)
(fma.f64 (+.f64 1 re) (sin.f64 im) 1)
(fma.f64 (sin.f64 im) (+.f64 1 re) 1)
(fma.f64 (*.f64 (+.f64 1 re) (sin.f64 im)) 1 1)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2) (*.f64 (cbrt.f64 (sin.f64 im)) (+.f64 1 re)) 1)
(fma.f64 (cbrt.f64 (.f64 (+.f64 1 re) (sin.f64 im))) (pow.f64 (cbrt.f64 (.f64 (+.f64 1 re) (sin.f64 im))) 2) 1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 1 re) (sin.f64 im))) 2) (cbrt.f64 (.f64 (+.f64 1 re) (sin.f64 im))) 1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 re)) 2) (*.f64 (cbrt.f64 (+.f64 1 re)) (sin.f64 im)) 1)
(fma.f64 (sqrt.f64 (sin.f64 im)) (*.f64 (sqrt.f64 (sin.f64 im)) (+.f64 1 re)) 1)
(fma.f64 (sqrt.f64 (.f64 (+.f64 1 re) (sin.f64 im))) (sqrt.f64 (.f64 (+.f64 1 re) (sin.f64 im))) 1)
(fma.f64 (sqrt.f64 (+.f64 1 re)) (*.f64 (sqrt.f64 (+.f64 1 re)) (sin.f64 im)) 1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) (fma.f64 (+.f64 1 re) (sin.f64 im) 2))) 1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1) 2) -1) (/.f64 1 (fma.f64 (+.f64 1 re) (sin.f64 im) 2)) 1)
(fma.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 2) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 2)) 2) (cbrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 2)) -1)
(fma.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 2)) (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 2)) -1)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (+.f64 1 re) (sin.f64 im) 1)) 1) 1)
(fma.f64 (*.f64 (+.f64 1 re) (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) (cbrt.f64 (sin.f64 im)) 1)
(fma.f64 (*.f64 (+.f64 1 re) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)) 1)
(fma.f64 (*.f64 (sin.f64 im) (pow.f64 (cbrt.f64 (+.f64 1 re)) 2)) (cbrt.f64 (+.f64 1 re)) 1)
(fma.f64 (*.f64 (sin.f64 im) (sqrt.f64 (+.f64 1 re))) (sqrt.f64 (+.f64 1 re)) 1)

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

eval280.0ms (5.3%)

Compiler: Compiled 15942 to 10135 computations (36.4% saved)

prune153.0ms (2.9%)

Pruning

18 alts after pruning (7 fresh and 11 done)

	Pruned	Kept	Total
New	800	5	805
Fresh	0	2	2
Picked	0	1	1
Done	0	10	10
Total	800	18	818

Error

Counts

818 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
✓	33.8b	(-.f64 (+.f64 1 (*.f64 (+.f64 re 1) (sin.f64 im))) 1)
	56.4b	(-.f64 (+.f64 1 (*.f64 (+.f64 1 re) im)) 1)
▶	42.4b	(-.f64 1 1)
✓	42.8b	(+.f64 (*.f64 re im) im)
✓	20.0b	(*.f64 (+.f64 re 1) (sin.f64 im))
✓	61.5b	(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
✓	20.2b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
✓	20.2b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))
✓	61.4b	(*.f64 (sin.f64 im) re)
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	23.0b	(*.f64 (exp.f64 re) im)
▶	61.5b	(*.f64 re im)
▶	61.6b	(.f64 1/2 (.f64 re (*.f64 re im)))
▶	61.7b	(.f64 1/2 (.f64 im (*.f64 re re)))
✓	19.9b	(sin.f64 im)
▶	31.7b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
	42.5b	im

Compiler

Compiled 199 to 146 computations (26.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 re (log.f64 (sin.f64 im)))
✓	0.3b	(log.f64 (sin.f64 im))
✓	1.0b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

Compiler

Compiled 20 to 6 computations (70% saved)

series48.0ms (0.9%)

Counts

3 → 23

Calls

15 calls:

Time	Variable		Point	Expression
28.0ms	im	@	inf	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
13.0ms	im	@	-inf	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
3.0ms	re	@	0	(+.f64 re (log.f64 (sin.f64 im)))
1.0ms	im	@	0	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
1.0ms	re	@	0	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

rewrite58.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

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

Outputs

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

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

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

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

488×	`unswap-sqr_binary64`
401×	`times-frac_binary64`
346×	`distribute-rgt-in_binary64`
308×	`distribute-lft-in_binary64`
250×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	1414
1	502	1114
2	1880	1099

Stop Event

1×	node limit

Counts

98 → 128

Calls

Call 1

Inputs
(sin.f64 im)
(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (+.f64 (.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3))) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2))))))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 -1 re)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 -1 re)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 -1 re)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 -1 re)))
(exp.f64 (+.f64 re (log.f64 im)))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (.f64 -1/6 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 2))))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (+.f64 (.f64 1/120 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 4))) (.f64 -1/6 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 2)))))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (+.f64 (.f64 1/120 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 4))) (+.f64 (.f64 -1/5040 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 6))) (.f64 -1/6 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 2))))))
(log.f64 im)
(+.f64 (*.f64 -1/6 (pow.f64 im 2)) (log.f64 im))
(+.f64 (.f64 -1/180 (pow.f64 im 4)) (+.f64 (.f64 -1/6 (pow.f64 im 2)) (log.f64 im)))
(+.f64 (.f64 -1/180 (pow.f64 im 4)) (+.f64 (.f64 -1/6 (pow.f64 im 2)) (+.f64 (log.f64 im) (*.f64 -1/2835 (pow.f64 im 6)))))
(log.f64 (sin.f64 im))
re
re
(+.f64 re (log.f64 im))
(+.f64 (*.f64 -1/6 (pow.f64 im 2)) (+.f64 re (log.f64 im)))
(+.f64 (.f64 -1/180 (pow.f64 im 4)) (+.f64 (.f64 -1/6 (pow.f64 im 2)) (+.f64 re (log.f64 im))))
(+.f64 (.f64 -1/180 (pow.f64 im 4)) (+.f64 (.f64 -1/6 (pow.f64 im 2)) (+.f64 re (+.f64 (log.f64 im) (*.f64 -1/2835 (pow.f64 im 6))))))
(+.f64 1 (expm1.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (.f64 (sin.f64 im) (exp.f64 re)) 1)
(.f64 1 (.f64 (sin.f64 im) (exp.f64 re)))
(*.f64 (exp.f64 re) (sin.f64 im))
(.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2) (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(.f64 (sqrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) (sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(.f64 (.f64 (exp.f64 re) 1) (sin.f64 im))
(.f64 (.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) (cbrt.f64 (sin.f64 im)))
(.f64 (.f64 (exp.f64 re) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(pow.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) 2)) (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im))))) (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(pow.f64 (exp.f64 1) (+.f64 re (log.f64 (sin.f64 im))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) (log.f64 (cbrt.f64 (sin.f64 im))))
(+.f64 0 (log.f64 (sin.f64 im)))
(+.f64 (log.f64 (sqrt.f64 (sin.f64 im))) (log.f64 (sqrt.f64 (sin.f64 im))))
(-.f64 (+.f64 1 (log.f64 (sin.f64 im))) 1)
(*.f64 (log.f64 (sin.f64 im)) 1)
(*.f64 1 (log.f64 (sin.f64 im)))
(*.f64 (cbrt.f64 (log.f64 (sin.f64 im))) (pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) 2) (cbrt.f64 (log.f64 (sin.f64 im))))
(*.f64 (sqrt.f64 (log.f64 (sin.f64 im))) (sqrt.f64 (log.f64 (sin.f64 im))))
(pow.f64 (log.f64 (sin.f64 im)) 1)
(pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) 3)
(pow.f64 (sqrt.f64 (log.f64 (sin.f64 im))) 2)
(pow.f64 (pow.f64 (log.f64 (sin.f64 im)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (sin.f64 im)) 2))
(cbrt.f64 (pow.f64 (log.f64 (sin.f64 im)) 3))
(expm1.f64 (log1p.f64 (log.f64 (sin.f64 im))))
(log1p.f64 (-.f64 (sin.f64 im) 1))
(exp.f64 (log.f64 (log.f64 (sin.f64 im))))
(-.f64 (+.f64 1 (+.f64 re (log.f64 (sin.f64 im)))) 1)
(-.f64 (/.f64 (*.f64 re re) (-.f64 re (log.f64 (sin.f64 im)))) (/.f64 (pow.f64 (log.f64 (sin.f64 im)) 2) (-.f64 re (log.f64 (sin.f64 im)))))
(*.f64 (+.f64 re (log.f64 (sin.f64 im))) 1)
(*.f64 1 (+.f64 re (log.f64 (sin.f64 im))))
(*.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) 2) (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(*.f64 (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3)) (/.f64 1 (fma.f64 re re (.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re)))))
(.f64 (-.f64 (.f64 re re) (pow.f64 (log.f64 (sin.f64 im)) 2)) (/.f64 1 (-.f64 re (log.f64 (sin.f64 im)))))
(/.f64 1 (/.f64 (fma.f64 re re (*.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re))) (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3))))
(/.f64 1 (/.f64 (-.f64 re (log.f64 (sin.f64 im))) (-.f64 (*.f64 re re) (pow.f64 (log.f64 (sin.f64 im)) 2))))
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3)) (fma.f64 re re (*.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re))))
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3)) (+.f64 (pow.f64 (log.f64 (sin.f64 im)) 2) (-.f64 (.f64 re re) (.f64 re (log.f64 (sin.f64 im))))))
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (log.f64 (sin.f64 im)) 2)) (-.f64 re (log.f64 (sin.f64 im))))
(/.f64 (neg.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3))) (neg.f64 (fma.f64 re re (*.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re)))))
(/.f64 (neg.f64 (-.f64 (*.f64 re re) (pow.f64 (log.f64 (sin.f64 im)) 2))) (neg.f64 (-.f64 re (log.f64 (sin.f64 im)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 im)) 2) (*.f64 re re)) (-.f64 (log.f64 (sin.f64 im)) re))
(pow.f64 (+.f64 re (log.f64 (sin.f64 im))) 1)
(pow.f64 (pow.f64 (+.f64 re (log.f64 (sin.f64 im))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) 3)
(pow.f64 (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) 2)
(sqrt.f64 (pow.f64 (+.f64 re (log.f64 (sin.f64 im))) 2))
(log.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(cbrt.f64 (pow.f64 (+.f64 re (log.f64 (sin.f64 im))) 3))
(expm1.f64 (log1p.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(log1p.f64 (expm1.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(exp.f64 (log.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(fma.f64 1 re (log.f64 (sin.f64 im)))
(fma.f64 1 (log.f64 (sin.f64 im)) re)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) 2) (cbrt.f64 (log.f64 (sin.f64 im))) re)
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (log.f64 (sin.f64 im)))
(fma.f64 (sqrt.f64 (log.f64 (sin.f64 im))) (sqrt.f64 (log.f64 (sin.f64 im))) re)
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (log.f64 (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))
(+.f64 (sin.f64 im) (+.f64 (.f64 (sin.f64 im) re) (.f64 1/2 (*.f64 (sin.f64 im) (pow.f64 re 2)))))
(+.f64 (sin.f64 im) (fma.f64 (sin.f64 im) re (.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)))))
(+.f64 (sin.f64 im) (fma.f64 1/2 (.f64 (sin.f64 im) (.f64 re re)) (*.f64 (sin.f64 im) re)))
(.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 (*.f64 1/6 (pow.f64 re 3)) (sin.f64 im))))
(+.f64 (.f64 (sin.f64 im) (+.f64 re 1)) (.f64 (sin.f64 im) (+.f64 (.f64 1/2 (.f64 re re)) (*.f64 1/6 (pow.f64 re 3)))))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 -1 re)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 -1 re)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 -1 re)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (*.f64 -1 re)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 (+.f64 re (log.f64 im)))
(*.f64 im (exp.f64 re))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (.f64 -1/6 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 2))))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (.f64 -1/6 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (*.f64 im im))))
(fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (.f64 im (exp.f64 re)))
(.f64 (.f64 im (exp.f64 re)) (+.f64 (.f64 im (.f64 im -1/6)) 1))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (+.f64 (.f64 1/120 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 4))) (.f64 -1/6 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 2)))))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (fma.f64 1/120 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 4)) (.f64 -1/6 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (.f64 im im)))))
(fma.f64 (exp.f64 re) im (fma.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3)) (.f64 (.f64 im (exp.f64 re)) (.f64 (pow.f64 im 4) 1/120))))
(fma.f64 (exp.f64 re) im (.f64 (.f64 im (exp.f64 re)) (+.f64 (.f64 im (.f64 im -1/6)) (*.f64 1/120 (pow.f64 im 4)))))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (+.f64 (.f64 1/120 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 4))) (+.f64 (.f64 -1/5040 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 6))) (.f64 -1/6 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 2))))))
(+.f64 (exp.f64 (+.f64 re (log.f64 im))) (fma.f64 1/120 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 4)) (fma.f64 -1/5040 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (pow.f64 im 6)) (.f64 -1/6 (.f64 (exp.f64 (+.f64 re (log.f64 im))) (*.f64 im im))))))
(fma.f64 (exp.f64 re) im (fma.f64 1/120 (.f64 (.f64 im (exp.f64 re)) (pow.f64 im 4)) (fma.f64 -1/5040 (.f64 (.f64 im (exp.f64 re)) (pow.f64 im 6)) (.f64 -1/6 (.f64 (exp.f64 re) (pow.f64 im 3))))))
(+.f64 (.f64 (.f64 im (exp.f64 re)) (+.f64 (.f64 im (.f64 im -1/6)) 1)) (.f64 (.f64 im (exp.f64 re)) (+.f64 (.f64 1/120 (pow.f64 im 4)) (.f64 -1/5040 (pow.f64 im 6)))))
(log.f64 im)
(+.f64 (*.f64 -1/6 (pow.f64 im 2)) (log.f64 im))
(fma.f64 -1/6 (*.f64 im im) (log.f64 im))
(+.f64 (.f64 -1/180 (pow.f64 im 4)) (+.f64 (.f64 -1/6 (pow.f64 im 2)) (log.f64 im)))
(fma.f64 -1/180 (pow.f64 im 4) (fma.f64 -1/6 (*.f64 im im) (log.f64 im)))
(fma.f64 (pow.f64 im 4) -1/180 (fma.f64 -1/6 (*.f64 im im) (log.f64 im)))
(+.f64 (.f64 -1/180 (pow.f64 im 4)) (+.f64 (.f64 -1/6 (pow.f64 im 2)) (+.f64 (log.f64 im) (*.f64 -1/2835 (pow.f64 im 6)))))
(fma.f64 -1/180 (pow.f64 im 4) (+.f64 (fma.f64 -1/6 (.f64 im im) (log.f64 im)) (.f64 (pow.f64 im 6) -1/2835)))
(fma.f64 (pow.f64 im 4) -1/180 (fma.f64 -1/6 (*.f64 im im) (fma.f64 (pow.f64 im 6) -1/2835 (log.f64 im))))
(log.f64 (sin.f64 im))
re
re
(+.f64 re (log.f64 im))
(+.f64 (*.f64 -1/6 (pow.f64 im 2)) (+.f64 re (log.f64 im)))
(fma.f64 -1/6 (*.f64 im im) (+.f64 re (log.f64 im)))
(+.f64 (log.f64 im) (fma.f64 -1/6 (*.f64 im im) re))
(+.f64 (.f64 -1/180 (pow.f64 im 4)) (+.f64 (.f64 -1/6 (pow.f64 im 2)) (+.f64 re (log.f64 im))))
(fma.f64 -1/180 (pow.f64 im 4) (fma.f64 -1/6 (*.f64 im im) (+.f64 re (log.f64 im))))
(fma.f64 (pow.f64 im 4) -1/180 (+.f64 (log.f64 im) (fma.f64 -1/6 (*.f64 im im) re)))
(+.f64 (.f64 -1/180 (pow.f64 im 4)) (+.f64 (.f64 -1/6 (pow.f64 im 2)) (+.f64 re (+.f64 (log.f64 im) (*.f64 -1/2835 (pow.f64 im 6))))))
(fma.f64 -1/180 (pow.f64 im 4) (fma.f64 -1/6 (.f64 im im) (+.f64 re (+.f64 (log.f64 im) (.f64 (pow.f64 im 6) -1/2835)))))
(+.f64 (fma.f64 (pow.f64 im 4) -1/180 (fma.f64 -1/6 (*.f64 im im) (fma.f64 (pow.f64 im 6) -1/2835 (log.f64 im)))) re)
(+.f64 re (fma.f64 (pow.f64 im 4) -1/180 (fma.f64 -1/6 (*.f64 im im) (fma.f64 (pow.f64 im 6) -1/2835 (log.f64 im)))))
(+.f64 1 (expm1.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (exp.f64 re))) 1)
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (sin.f64 im) (exp.f64 re))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(.f64 (.f64 (sin.f64 im) (exp.f64 re)) 1)
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 1 (.f64 (sin.f64 im) (exp.f64 re)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (pow.f64 (cbrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) 2) (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (sqrt.f64 (.f64 (sin.f64 im) (exp.f64 re))) (sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (.f64 (exp.f64 re) 1) (sin.f64 im))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (.f64 (exp.f64 re) (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) (cbrt.f64 (sin.f64 im)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(.f64 (.f64 (exp.f64 re) (sqrt.f64 (sin.f64 im))) (sqrt.f64 (sin.f64 im)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 1)
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3) 1/3)
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 3)
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 im) (exp.f64 re))) 2)
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) 2)) (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im))))) (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(pow.f64 (exp.f64 1) (+.f64 re (log.f64 (sin.f64 im))))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 2))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (sin.f64 im)))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 im) (exp.f64 re)) 3))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 im) (exp.f64 re))))
(exp.f64 (-.f64 (log.f64 (sin.f64 im)) (neg.f64 re)))
(*.f64 (sin.f64 im) (exp.f64 re))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (sin.f64 im)) 2)) (log.f64 (cbrt.f64 (sin.f64 im))))
(log.f64 (sin.f64 im))
(+.f64 0 (log.f64 (sin.f64 im)))
(log.f64 (sin.f64 im))
(+.f64 (log.f64 (sqrt.f64 (sin.f64 im))) (log.f64 (sqrt.f64 (sin.f64 im))))
(log.f64 (sin.f64 im))
(-.f64 (+.f64 1 (log.f64 (sin.f64 im))) 1)
(log.f64 (sin.f64 im))
(*.f64 (log.f64 (sin.f64 im)) 1)
(log.f64 (sin.f64 im))
(*.f64 1 (log.f64 (sin.f64 im)))
(log.f64 (sin.f64 im))
(*.f64 (cbrt.f64 (log.f64 (sin.f64 im))) (pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) 2))
(log.f64 (sin.f64 im))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) 2) (cbrt.f64 (log.f64 (sin.f64 im))))
(log.f64 (sin.f64 im))
(*.f64 (sqrt.f64 (log.f64 (sin.f64 im))) (sqrt.f64 (log.f64 (sin.f64 im))))
(log.f64 (sin.f64 im))
(pow.f64 (log.f64 (sin.f64 im)) 1)
(log.f64 (sin.f64 im))
(pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) 3)
(log.f64 (sin.f64 im))
(pow.f64 (sqrt.f64 (log.f64 (sin.f64 im))) 2)
(log.f64 (sin.f64 im))
(pow.f64 (pow.f64 (log.f64 (sin.f64 im)) 3) 1/3)
(log.f64 (sin.f64 im))
(sqrt.f64 (pow.f64 (log.f64 (sin.f64 im)) 2))
(log.f64 (sin.f64 im))
(cbrt.f64 (pow.f64 (log.f64 (sin.f64 im)) 3))
(log.f64 (sin.f64 im))
(expm1.f64 (log1p.f64 (log.f64 (sin.f64 im))))
(log.f64 (sin.f64 im))
(log1p.f64 (-.f64 (sin.f64 im) 1))
(log1p.f64 (+.f64 (sin.f64 im) -1))
(exp.f64 (log.f64 (log.f64 (sin.f64 im))))
(log.f64 (sin.f64 im))
(-.f64 (+.f64 1 (+.f64 re (log.f64 (sin.f64 im)))) 1)
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(-.f64 (/.f64 (*.f64 re re) (-.f64 re (log.f64 (sin.f64 im)))) (/.f64 (pow.f64 (log.f64 (sin.f64 im)) 2) (-.f64 re (log.f64 (sin.f64 im)))))
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (log.f64 (sin.f64 im)) 2)) (-.f64 re (log.f64 (sin.f64 im))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 im)) 2) (*.f64 re re)) (-.f64 (log.f64 (sin.f64 im)) re))
(*.f64 (+.f64 re (log.f64 (sin.f64 im))) 1)
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(*.f64 1 (+.f64 re (log.f64 (sin.f64 im))))
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(*.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) 2))
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) 2) (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(*.f64 (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3)) (/.f64 1 (fma.f64 re re (.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re)))))
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3)) (fma.f64 re re (*.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re))))
(.f64 (-.f64 (.f64 re re) (pow.f64 (log.f64 (sin.f64 im)) 2)) (/.f64 1 (-.f64 re (log.f64 (sin.f64 im)))))
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (log.f64 (sin.f64 im)) 2)) (-.f64 re (log.f64 (sin.f64 im))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 im)) 2) (*.f64 re re)) (-.f64 (log.f64 (sin.f64 im)) re))
(/.f64 1 (/.f64 (fma.f64 re re (*.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re))) (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3))))
(.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3)) (/.f64 1 (fma.f64 re re (.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re)))))
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3)) (fma.f64 re re (*.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re))))
(/.f64 1 (/.f64 (-.f64 re (log.f64 (sin.f64 im))) (-.f64 (*.f64 re re) (pow.f64 (log.f64 (sin.f64 im)) 2))))
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (log.f64 (sin.f64 im)) 2)) (-.f64 re (log.f64 (sin.f64 im))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 im)) 2) (*.f64 re re)) (-.f64 (log.f64 (sin.f64 im)) re))
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3)) (fma.f64 re re (*.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re))))
(.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3)) (/.f64 1 (fma.f64 re re (.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re)))))
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3)) (+.f64 (pow.f64 (log.f64 (sin.f64 im)) 2) (-.f64 (.f64 re re) (.f64 re (log.f64 (sin.f64 im))))))
(.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3)) (/.f64 1 (fma.f64 re re (.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re)))))
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3)) (fma.f64 re re (*.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re))))
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (log.f64 (sin.f64 im)) 2)) (-.f64 re (log.f64 (sin.f64 im))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 im)) 2) (*.f64 re re)) (-.f64 (log.f64 (sin.f64 im)) re))
(/.f64 (neg.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3))) (neg.f64 (fma.f64 re re (*.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re)))))
(.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3)) (/.f64 1 (fma.f64 re re (.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re)))))
(/.f64 (+.f64 (pow.f64 re 3) (pow.f64 (log.f64 (sin.f64 im)) 3)) (fma.f64 re re (*.f64 (log.f64 (sin.f64 im)) (-.f64 (log.f64 (sin.f64 im)) re))))
(/.f64 (neg.f64 (-.f64 (*.f64 re re) (pow.f64 (log.f64 (sin.f64 im)) 2))) (neg.f64 (-.f64 re (log.f64 (sin.f64 im)))))
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (log.f64 (sin.f64 im)) 2)) (-.f64 re (log.f64 (sin.f64 im))))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 im)) 2) (*.f64 re re)) (-.f64 (log.f64 (sin.f64 im)) re))
(/.f64 (-.f64 (pow.f64 (log.f64 (sin.f64 im)) 2) (*.f64 re re)) (-.f64 (log.f64 (sin.f64 im)) re))
(/.f64 (-.f64 (*.f64 re re) (pow.f64 (log.f64 (sin.f64 im)) 2)) (-.f64 re (log.f64 (sin.f64 im))))
(pow.f64 (+.f64 re (log.f64 (sin.f64 im))) 1)
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(pow.f64 (pow.f64 (+.f64 re (log.f64 (sin.f64 im))) 3) 1/3)
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(pow.f64 (cbrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) 3)
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(pow.f64 (sqrt.f64 (+.f64 re (log.f64 (sin.f64 im)))) 2)
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(sqrt.f64 (pow.f64 (+.f64 re (log.f64 (sin.f64 im))) 2))
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(log.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(cbrt.f64 (pow.f64 (+.f64 re (log.f64 (sin.f64 im))) 3))
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(expm1.f64 (log1p.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(log1p.f64 (expm1.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(exp.f64 (log.f64 (+.f64 re (log.f64 (sin.f64 im)))))
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(fma.f64 1 re (log.f64 (sin.f64 im)))
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(fma.f64 1 (log.f64 (sin.f64 im)) re)
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 im))) 2) (cbrt.f64 (log.f64 (sin.f64 im))) re)
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (log.f64 (sin.f64 im)))
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(fma.f64 (sqrt.f64 (log.f64 (sin.f64 im))) (sqrt.f64 (log.f64 (sin.f64 im))) re)
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (log.f64 (sin.f64 im)))
(+.f64 (+.f64 (+.f64 1 re) (log.f64 (sin.f64 im))) -1)
(+.f64 re (log.f64 (sin.f64 im)))

localize3.0ms (0.1%)

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

localize3.0ms (0%)

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.9b	(.f64 im (.f64 re re))

Compiler

Compiled 20 to 7 computations (65% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite36.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

458×	`pow1_binary64`
435×	`add-sqr-sqrt_binary64`
429×	`*-un-lft-identity_binary64`
421×	`add-log-exp_binary64`
421×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	100	7
2	1207	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 im (.f64 re re))

Outputs

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

simplify41.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1080×	`log-prod_binary64`
553×	`distribute-rgt-in_binary64`
542×	`distribute-lft-in_binary64`
392×	`associate-l_binary64`
355×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	245
1	90	245
2	324	245
3	2157	245
4	7026	245

Stop Event

1×	node limit

Counts

35 → 14

Calls

Call 1

Inputs
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(-.f64 (+.f64 1 (.f64 im (.f64 re re))) 1)
(pow.f64 (.f64 im (.f64 re re)) 1)
(pow.f64 (pow.f64 (.f64 im (.f64 re re)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 im (.f64 re re))) 3)
(pow.f64 (*.f64 re (sqrt.f64 im)) 2)
(sqrt.f64 (.f64 (.f64 im im) (pow.f64 re 4)))
(log.f64 (pow.f64 (exp.f64 im) (*.f64 re re)))
(cbrt.f64 (pow.f64 (.f64 im (.f64 re re)) 3))
(expm1.f64 (log1p.f64 (.f64 im (.f64 re re))))
(log1p.f64 (expm1.f64 (.f64 im (.f64 re re))))
(exp.f64 (log.f64 (.f64 im (.f64 re re))))

Outputs
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(*.f64 (pow.f64 re 2) im)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(-.f64 (+.f64 1 (.f64 im (.f64 re re))) 1)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(pow.f64 (.f64 im (.f64 re re)) 1)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(pow.f64 (pow.f64 (.f64 im (.f64 re re)) 3) 1/3)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(pow.f64 (cbrt.f64 (.f64 im (.f64 re re))) 3)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(pow.f64 (*.f64 re (sqrt.f64 im)) 2)
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(sqrt.f64 (.f64 (.f64 im im) (pow.f64 re 4)))
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(log.f64 (pow.f64 (exp.f64 im) (*.f64 re re)))
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(cbrt.f64 (pow.f64 (.f64 im (.f64 re re)) 3))
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(expm1.f64 (log1p.f64 (.f64 im (.f64 re re))))
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(log1p.f64 (expm1.f64 (.f64 im (.f64 re re))))
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))
(exp.f64 (log.f64 (.f64 im (.f64 re re))))
(.f64 (.f64 im re) re)
(.f64 re (.f64 re im))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 re (.f64 re im))

Compiler

Compiled 20 to 7 computations (65% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite56.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

471×	`pow1_binary64`
447×	`add-sqr-sqrt_binary64`
442×	`*-un-lft-identity_binary64`
431×	`add-log-exp_binary64`
431×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	99	7
2	1194	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 re (.f64 re im))

Outputs

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

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

726×	`log-prod_binary64`
627×	`distribute-rgt-in_binary64`
615×	`distribute-lft-in_binary64`
485×	`associate-l_binary64`
398×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	245
1	84	245
2	322	245
3	2378	245
4	7869	245

Stop Event

1×	node limit

Counts

35 → 14

Calls

Call 1

Inputs
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(*.f64 (pow.f64 re 2) im)
(-.f64 (+.f64 1 (.f64 re (.f64 re im))) 1)
(pow.f64 (.f64 re (.f64 re im)) 1)
(pow.f64 (pow.f64 (.f64 re (.f64 re im)) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 re (.f64 re im))) 3)
(pow.f64 (*.f64 re (sqrt.f64 im)) 2)
(sqrt.f64 (pow.f64 (.f64 re (.f64 re im)) 2))
(log.f64 (pow.f64 (exp.f64 re) (*.f64 re im)))
(cbrt.f64 (pow.f64 (.f64 re (.f64 re im)) 3))
(expm1.f64 (log1p.f64 (.f64 re (.f64 re im))))
(log1p.f64 (expm1.f64 (.f64 re (.f64 re im))))
(exp.f64 (log.f64 (.f64 re (.f64 re im))))

Outputs
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(*.f64 (pow.f64 re 2) im)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(-.f64 (+.f64 1 (.f64 re (.f64 re im))) 1)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(pow.f64 (.f64 re (.f64 re im)) 1)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(pow.f64 (pow.f64 (.f64 re (.f64 re im)) 3) 1/3)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(pow.f64 (cbrt.f64 (.f64 re (.f64 re im))) 3)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(pow.f64 (*.f64 re (sqrt.f64 im)) 2)
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(sqrt.f64 (pow.f64 (.f64 re (.f64 re im)) 2))
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(log.f64 (pow.f64 (exp.f64 re) (*.f64 re im)))
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(cbrt.f64 (pow.f64 (.f64 re (.f64 re im)) 3))
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(expm1.f64 (log1p.f64 (.f64 re (.f64 re im))))
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(log1p.f64 (expm1.f64 (.f64 re (.f64 re im))))
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)
(exp.f64 (log.f64 (.f64 re (.f64 re im))))
(.f64 re (.f64 re im))
(.f64 (.f64 re re) im)

eval30.0ms (0.6%)

Compiler: Compiled 1926 to 848 computations (56% saved)

prune27.0ms (0.5%)

Pruning

18 alts after pruning (2 fresh and 16 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	2	2
Picked	0	1	1
Done	0	15	15
Total	156	18	174

Error

Counts

174 → 18

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
✓	33.8b	(-.f64 (+.f64 1 (*.f64 (+.f64 re 1) (sin.f64 im))) 1)
	56.4b	(-.f64 (+.f64 1 (*.f64 (+.f64 1 re) im)) 1)
✓	42.4b	(-.f64 1 1)
✓	42.8b	(+.f64 (*.f64 re im) im)
✓	20.0b	(*.f64 (+.f64 re 1) (sin.f64 im))
✓	61.5b	(.f64 (.f64 1/2 (sin.f64 im)) (*.f64 re re))
✓	20.2b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
✓	20.2b	(.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))
✓	61.4b	(*.f64 (sin.f64 im) re)
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	23.0b	(*.f64 (exp.f64 re) im)
✓	61.5b	(*.f64 re im)
✓	61.6b	(.f64 1/2 (.f64 re (*.f64 re im)))
✓	61.7b	(.f64 1/2 (.f64 im (*.f64 re re)))
✓	19.9b	(sin.f64 im)
✓	31.7b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
	42.5b	im

Compiler

Compiled 152 to 111 computations (27% saved)

regimes42.0ms (0.8%)

Counts

18 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	im
9.0ms	(sin.f64 im)
8.0ms	re
7.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
3.0ms	(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 139 to 76 computations (45.3% saved)

regimes95.0ms (1.8%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

6 calls:

25.0ms	(sin.f64 im)
21.0ms	(sin.f64 im)
20.0ms	im
15.0ms	re
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.3b	2	`re`
8.4b	3	`im`
0.3b	2	`(exp.f64 re)`
0.3b	2	`(exp.f64 re)`
7.9b	3	`(sin.f64 im)`
7.9b	3	`(sin.f64 im)`

Compiler

Compiled 121 to 70 computations (42.1% saved)

bsearch5.0ms (0.1%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9858549466516664	0.9999999999999003

Compiler

Compiled 12 to 9 computations (25% saved)

regimes92.0ms (1.7%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

6 calls:

23.0ms	im
23.0ms	(sin.f64 im)
21.0ms	(sin.f64 im)
14.0ms	re
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.3b	2	`re`
8.4b	3	`im`
0.3b	2	`(exp.f64 re)`
0.3b	2	`(exp.f64 re)`
7.9b	3	`(sin.f64 im)`
7.9b	3	`(sin.f64 im)`

Compiler

Compiled 105 to 61 computations (41.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9858549466516664	0.9999999999999003

Compiler

Compiled 12 to 9 computations (25% saved)

regimes99.0ms (1.9%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

6 calls:

27.0ms	(sin.f64 im)
27.0ms	(sin.f64 im)
20.0ms	im
14.0ms	re
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.4b	2	`re`
8.4b	3	`im`
0.4b	2	`(exp.f64 re)`
0.4b	2	`(exp.f64 re)`
7.9b	3	`(sin.f64 im)`
7.9b	3	`(sin.f64 im)`

Compiler

Compiled 93 to 54 computations (41.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9858549466516664	0.9999999999999003

Compiler

Compiled 12 to 9 computations (25% saved)

regimes76.0ms (1.4%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

5 calls:

22.0ms	(sin.f64 im)
21.0ms	(sin.f64 im)
16.0ms	im
11.0ms	re
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
0.5b	2	`re`
8.5b	3	`im`
0.5b	2	`(exp.f64 re)`
8.0b	3	`(sin.f64 im)`
8.0b	3	`(sin.f64 im)`

Compiler

Compiled 65 to 38 computations (41.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999999999999003	0.9999999999999866

Compiler

Compiled 12 to 9 computations (25% saved)

regimes40.0ms (0.8%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

3 calls:

15.0ms	(sin.f64 im)
14.0ms	im
10.0ms	re

Results

Error	Segments	Branch
1.1b	2	`re`
18.7b	3	`im`
18.7b	3	`(sin.f64 im)`

Compiler

Compiled 49 to 29 computations (40.8% saved)

bsearch31.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
31.0ms	-722055.0412177581	-0.35898071997862446

Results

13.0ms	37×	body	1024	valid
12.0ms	90×	body	256	valid
4.0ms	17×	body	512	valid

Compiler

Compiled 111 to 99 computations (10.8% saved)

regimes32.0ms (0.6%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

21.0ms	im
9.0ms	re

Results

Error	Segments	Branch
23.5b	2	`re`
32.9b	5	`im`

Compiler

Compiled 43 to 25 computations (41.9% saved)

bsearch29.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
29.0ms	-722055.0412177581	-0.35898071997862446

Results

13.0ms	99×	body	256	valid
11.0ms	32×	body	1024	valid
3.0ms	13×	body	512	valid

Compiler

Compiled 138 to 108 computations (21.7% saved)

regimes23.0ms (0.4%)

Counts

3 → 2

Calls

Call 1

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

Outputs
(-.f64 1 1)
im

Calls

2 calls:

15.0ms	im
7.0ms	re

Results

Error	Segments	Branch
23.6b	2	`re`
32.9b	5	`im`

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch33.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
33.0ms	-722055.0412177581	-0.35898071997862446

Results

14.0ms	40×	body	1024	valid
11.0ms	81×	body	256	valid
5.0ms	23×	body	512	valid

Compiler

Compiled 102 to 90 computations (11.8% saved)

regimes7.0ms (0.1%)

Accuracy

Total -19.4b remaining (-45.7%)

Threshold costs -19.4b (-45.7%)

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
42.5b	1	`re`
42.5b	1	`im`

Compiler

Compiled 12 to 7 computations (41.7% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	151
1	60	151

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (*.f64 re 1/6) 1/2)))))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 re (.f64 re 1/2)))))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (.f64 (exp.f64 re) im) (.f64 (+.f64 re 1) (sin.f64 im)))
(if (<=.f64 (exp.f64 re) 4503599627370271/4503599627370496) (*.f64 (exp.f64 re) im) (sin.f64 im))
(if (<=.f64 re -110) (-.f64 1 1) (sin.f64 im))
(if (<=.f64 re -4728779608739021/4503599627370496) (-.f64 1 1) (+.f64 (*.f64 re im) im))
(if (<=.f64 re -90) (-.f64 1 1) im)
im

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (*.f64 re 1/6) 1/2)))))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 (+.f64 re 1) (.f64 re (.f64 re 1/2)))))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (.f64 (exp.f64 re) im) (.f64 (+.f64 re 1) (sin.f64 im)))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 4503599627370271/4503599627370496) (*.f64 (exp.f64 re) im) (sin.f64 im))
(if (<=.f64 re -110) (-.f64 1 1) (sin.f64 im))
(if (<=.f64 re -110) 0 (sin.f64 im))
(if (<=.f64 re -4728779608739021/4503599627370496) (-.f64 1 1) (+.f64 (*.f64 re im) im))
(if (<=.f64 re -4728779608739021/4503599627370496) 0 (+.f64 im (*.f64 re im)))
(if (<=.f64 re -90) (-.f64 1 1) im)
(if (<=.f64 re -90) 0 im)
im

Compiler

Compiled 119 to 80 computations (32.8% saved)

soundness0.0ms (0%)

end57.0ms (1.1%)

Compiler: Compiled 103 to 52 computations (49.5% saved)