Details

analyze59.0ms (0.7%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.3s (25.9%)

Results

922.0ms	6210×	body	256	valid
661.0ms	1368×	body	1024	valid
316.0ms	681×	body	1024	invalid
219.0ms	675×	body	512	valid
64.0ms	309×	body	512	invalid
62.0ms	476×	body	256	invalid
2.0ms	3×	body	2048	valid

preprocess17.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 5 computations (61.5% saved)

series5.0ms (0.1%)

Counts

2 → 28

Calls

9 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))

rewrite213.0ms (2.4%)

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	11
1	113	11
2	1324	11

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

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

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

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

968×	`fma-def_binary64`
725×	`distribute-lft-out_binary64`
569×	`unswap-sqr_binary64`
551×	`distribute-rgt-in_binary64`
452×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	52	342
1	149	340
2	388	312
3	1101	292
4	3066	291
5	3857	291
6	6028	291
7	7136	291
8	7918	291

Stop Event

1×	node limit

Counts

55 → 50

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

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

eval11.0ms (0.1%)

Compiler: Compiled 517 to 258 computations (50.1% saved)

prune10.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	45	5	50
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	6	51

Error

Counts

51 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	19.4b	(*.f64 (exp.f64 re) im)
▶	20.6b	(*.f64 (exp.f64 re) (-.f64 (+.f64 1 (sin.f64 im)) 1))
▶	33.1b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
▶	23.1b	(sin.f64 im)
▶	0.9b	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)

Compiler

Compiled 85 to 65 computations (23.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 28 to 9 computations (67.9% saved)

series41.0ms (0.5%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
25.0ms	re	@	inf	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
4.0ms	re	@	0	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
4.0ms	im	@	inf	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
2.0ms	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)

rewrite57.0ms (0.6%)

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))))))

simplify168.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

94 → 74

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 im)

Compiler

Compiled 5 to 3 computations (40% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 10 to 4 computations (60% saved)

series3.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite44.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify209.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

18 → 21

Calls

Call 1

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

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

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 im)
✓	0.0b	(*.f64 (exp.f64 re) (-.f64 (+.f64 1 (sin.f64 im)) 1))
✓	0.4b	(+.f64 1 (sin.f64 im))
✓	3.2b	(-.f64 (+.f64 1 (sin.f64 im)) 1)

Compiler

Compiled 28 to 16 computations (42.9% saved)

series3.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite74.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

917×	`pow1_binary64`
851×	`add-log-exp_binary64`
851×	`log1p-expm1-u_binary64`
851×	`expm1-log1p-u_binary64`
835×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	189	17
2	2590	17

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

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

Outputs

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

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

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

simplify116.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

729×	`distribute-lft-out_binary64`
569×	`unswap-sqr_binary64`
551×	`distribute-rgt-in_binary64`
457×	`associate-l_binary64`
383×	`associate-/l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	57	424
1	162	422
2	416	394
3	1175	376
4	2401	376
5	3195	376
6	5377	376
7	6486	376
8	7266	376

Stop Event

1×	node limit

Counts

137 → 123

Calls

Call 1

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

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 re (log.f64 (sin.f64 im)))
	0.0b	(sin.f64 im)
✓	0.3b	(log.f64 (sin.f64 im))
✓	1.1b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

Compiler

Compiled 20 to 6 computations (70% saved)

series63.0ms (0.7%)

Counts

3 → 23

Calls

15 calls:

Time	Variable		Point	Expression
31.0ms	im	@	inf	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
24.0ms	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))))

rewrite64.0ms (0.7%)

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)))))))

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

98 → 107

Calls

Call 1

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

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

eval222.0ms (2.5%)

Compiler: Compiled 6515 to 3521 computations (46% saved)

prune76.0ms (0.9%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	437	7	444
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	438	12	450

Error

Counts

450 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	41.3b	(+.f64 (*.f64 re im) im)
	24.0b	(pow.f64 (cbrt.f64 (sin.f64 im)) 3)
✓	20.6b	(*.f64 (exp.f64 re) (-.f64 (+.f64 1 (sin.f64 im)) 1))
▶	23.0b	(.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)) (+.f64 re 1)))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	19.4b	(*.f64 (exp.f64 re) im)
▶	38.8b	(exp.f64 re)
	41.1b	im
✓	33.1b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
✓	23.1b	(sin.f64 im)
▶	23.0b	(*.f64 (sin.f64 im) (+.f64 re 1))
▶	23.0b	(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))

Compiler

Compiled 155 to 113 computations (27.1% saved)

localize52.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 44 to 27 computations (38.6% saved)

series5.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite147.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	239	24
2	3310	22

Stop Event

1×	node limit

Counts

2 → 131

Calls

Call 1

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

Outputs

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

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

simplify123.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	561
1	114	559
2	372	507
3	1790	483
4	3573	483
5	3993	483
6	4688	483
7	4788	483
8	4896	483
9	5034	483
10	7562	483
11	7944	483

Stop Event

1×	node limit

Counts

167 → 153

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

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

localize8.0ms (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)
1.0ms	im	@	0	(+.f64 (*.f64 re im) im)
0.0ms	im	@	-inf	(+.f64 (*.f64 re im) im)
0.0ms	re	@	0	(+.f64 (*.f64 re im) im)
0.0ms	re	@	inf	(+.f64 (*.f64 re im) im)

rewrite51.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

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

Outputs

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

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

61 → 46

Calls

Call 1

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

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

localize3.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 im)
✓	0.1b	(*.f64 (sin.f64 im) (+.f64 re 1))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite59.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

Outputs

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

simplify141.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

48 → 37

Calls

Call 1

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

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

localize51.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 re re) (+.f64 (*.f64 re 1/6) 1/2)) (+.f64 re 1))
✓	0.1b	(.f64 (.f64 re re) (+.f64 (*.f64 re 1/6) 1/2))
✓	0.3b	(*.f64 re 1/6)
✓	1.7b	(.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)) (+.f64 re 1)))

Compiler

Compiled 61 to 37 computations (39.3% saved)

series16.0ms (0.2%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	im	@	0	(.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)) (+.f64 re 1)))
2.0ms	im	@	inf	(.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)) (+.f64 re 1)))
1.0ms	re	@	inf	(.f64 (.f64 re re) (+.f64 (*.f64 re 1/6) 1/2))
1.0ms	re	@	inf	(.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)) (+.f64 re 1)))
1.0ms	im	@	-inf	(.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)) (+.f64 re 1)))

rewrite170.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

827×	`fma-def_binary64`
753×	`log-prod_binary64`
437×	`fma-neg_binary64`
272×	`log1p-udef_binary64`
269×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	50
1	321	50
2	4603	50

Stop Event

1×	node limit

Counts

4 → 232

Calls

Call 1

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

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

simplify215.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	58	984
1	176	892
2	542	781
3	3003	751
4	3600	751
5	4091	751
6	4676	751
7	4812	751
8	4948	751
9	5606	751
10	5838	751
11	6147	751
12	7803	751

Stop Event

1×	node limit

Counts

292 → 270

Calls

Call 1

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

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

eval292.0ms (3.3%)

Compiler: Compiled 10198 to 6020 computations (41% saved)

prune167.0ms (1.9%)

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	547	5	552
Fresh	1	1	2
Picked	0	1	1
Done	0	9	9
Total	548	16	564

Error

Counts

564 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.3b	(+.f64 (*.f64 re im) im)
▶	24.0b	(pow.f64 (cbrt.f64 (sin.f64 im)) 3)
✓	20.6b	(*.f64 (exp.f64 re) (-.f64 (+.f64 1 (sin.f64 im)) 1))
✓	23.0b	(.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)) (+.f64 re 1)))
✓	33.1b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
▶	41.3b	(*.f64 (+.f64 re 1) im)
✓	23.1b	(sin.f64 im)
▶	61.6b	(*.f64 re im)
▶	38.6b	(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)
	41.1b	im
✓	23.0b	(*.f64 (sin.f64 im) (+.f64 re 1))
▶	41.4b	(.f64 im (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	19.4b	(*.f64 (exp.f64 re) im)
✓	38.8b	(exp.f64 re)
✓	23.0b	(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))

Compiler

Compiled 178 to 131 computations (26.4% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 im)
✓	0.6b	(cbrt.f64 (sin.f64 im))
✓	0.7b	(pow.f64 (cbrt.f64 (sin.f64 im)) 3)

Compiler

Compiled 14 to 7 computations (50% saved)

series12.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	im	@	inf	(pow.f64 (cbrt.f64 (sin.f64 im)) 3)
4.0ms	im	@	-inf	(pow.f64 (cbrt.f64 (sin.f64 im)) 3)
2.0ms	im	@	0	(pow.f64 (cbrt.f64 (sin.f64 im)) 3)
1.0ms	im	@	0	(cbrt.f64 (sin.f64 im))
0.0ms	im	@	inf	(cbrt.f64 (sin.f64 im))

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

442×	`pow1_binary64`
434×	`add-sqr-sqrt_binary64`
419×	`*-un-lft-identity_binary64`
418×	`add-log-exp_binary64`
418×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	126	8
2	1180	8

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (sin.f64 im)) 3)
(cbrt.f64 (sin.f64 im))

Outputs

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

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

simplify164.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1290×	`sqr-pow_binary64`
676×	`cube-prod_binary64`
666×	`pow-sqr_binary64`
559×	`fabs-mul_binary64`
373×	`unpow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	88
1	22	64
2	30	64
3	41	64
4	65	64
5	153	64
6	517	64
7	1181	64
8	1273	64
9	1411	64
10	1574	64
11	1812	64
12	2139	64
13	2567	64
14	3075	64
15	3679	64
16	4404	64
17	4727	64
18	5011	64
19	5235	64
20	5415	64
21	5497	64
22	6440	64
23	7417	64
24	7883	64

Stop Event

1×	node limit

Counts

55 → 42

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (sin.f64 im))
(*.f64 (pow.f64 1 1/3) (sin.f64 im))
(*.f64 (pow.f64 1 1/3) (sin.f64 im))
(*.f64 (pow.f64 1 1/3) (sin.f64 im))
(*.f64 (sin.f64 im) (pow.f64 1 1/3))
(*.f64 (sin.f64 im) (pow.f64 1 1/3))
(*.f64 (sin.f64 im) (pow.f64 1 1/3))
(*.f64 (sin.f64 im) (pow.f64 1 1/3))
(pow.f64 (sin.f64 im) 1/3)
(pow.f64 (sin.f64 im) 1/3)
(pow.f64 (sin.f64 im) 1/3)
(pow.f64 (sin.f64 im) 1/3)
(pow.f64 (sin.f64 im) 1/3)
(pow.f64 (sin.f64 im) 1/3)
(pow.f64 (sin.f64 im) 1/3)
(pow.f64 (sin.f64 im) 1/3)

Outputs
(*.f64 (pow.f64 1 1/3) (sin.f64 im))
(*.f64 1 (sin.f64 im))
(sin.f64 im)
(*.f64 (pow.f64 1 1/3) (sin.f64 im))
(*.f64 1 (sin.f64 im))
(sin.f64 im)
(*.f64 (pow.f64 1 1/3) (sin.f64 im))
(*.f64 1 (sin.f64 im))
(sin.f64 im)
(*.f64 (pow.f64 1 1/3) (sin.f64 im))
(*.f64 1 (sin.f64 im))
(sin.f64 im)
(*.f64 (sin.f64 im) (pow.f64 1 1/3))
(*.f64 1 (sin.f64 im))
(sin.f64 im)
(*.f64 (sin.f64 im) (pow.f64 1 1/3))
(*.f64 1 (sin.f64 im))
(sin.f64 im)
(*.f64 (sin.f64 im) (pow.f64 1 1/3))
(*.f64 1 (sin.f64 im))
(sin.f64 im)
(*.f64 (sin.f64 im) (pow.f64 1 1/3))
(*.f64 1 (sin.f64 im))
(sin.f64 im)
(pow.f64 (sin.f64 im) 1/3)
(cbrt.f64 (sin.f64 im))
(pow.f64 (sin.f64 im) 1/3)
(cbrt.f64 (sin.f64 im))
(pow.f64 (sin.f64 im) 1/3)
(cbrt.f64 (sin.f64 im))
(pow.f64 (sin.f64 im) 1/3)
(cbrt.f64 (sin.f64 im))
(pow.f64 (sin.f64 im) 1/3)
(cbrt.f64 (sin.f64 im))
(pow.f64 (sin.f64 im) 1/3)
(cbrt.f64 (sin.f64 im))
(pow.f64 (sin.f64 im) 1/3)
(cbrt.f64 (sin.f64 im))
(pow.f64 (sin.f64 im) 1/3)
(cbrt.f64 (sin.f64 im))

localize3.0ms (0%)

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

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite45.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

595×	`pow1_binary64`
552×	`log1p-expm1-u_binary64`
552×	`expm1-log1p-u_binary64`
551×	`add-log-exp_binary64`
540×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	122	7
2	1526	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	114
1	16	114
2	23	114
3	29	114
4	42	114
5	46	114
6	48	114

Stop Event

1×

saturated

Counts

43 → 24

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 41 to 26 computations (36.6% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`log-prod_binary64`
503×	`fma-def_binary64`
407×	`pow-prod-down_binary64`
280×	`pow2_binary64`
232×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	220	14
2	3087	12

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

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

Outputs

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

simplify158.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1091×	`fma-def_binary64`
751×	`sqr-pow_binary64`
551×	`fabs-mul_binary64`
535×	`cube-prod_binary64`
365×	`pow-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	306
1	49	304
2	94	264
3	199	264
4	493	264
5	1417	264
6	2364	264
7	3141	264
8	3297	264
9	3463	264
10	3658	264
11	3919	264
12	4255	264
13	4637	264
14	5109	264
15	5705	264
16	6418	264
17	7277	264
18	7703	264

Stop Event

1×	node limit

Counts

87 → 74

Calls

Call 1

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

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

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 im)
	0.1b	(*.f64 (sin.f64 im) (+.f64 re 1))
✓	0.3b	(+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1)))
✓	2.8b	(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)

Compiler

Compiled 34 to 21 computations (38.2% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite76.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 192

Calls

Call 1

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

Outputs

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

simplify136.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

240 → 215

Calls

Call 1

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

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

eval265.0ms (3%)

Compiler: Compiled 7266 to 4510 computations (37.9% saved)

prune291.0ms (3.3%)

Pruning

19 alts after pruning (4 fresh and 15 done)

	Pruned	Kept	Total
New	509	4	513
Fresh	1	0	1
Picked	0	1	1
Done	0	14	14
Total	510	19	529

Error

Counts

529 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	41.3b	(+.f64 (*.f64 re im) im)
✓	24.0b	(pow.f64 (cbrt.f64 (sin.f64 im)) 3)
	40.2b	(-.f64 1 1)
✓	38.8b	(exp.f64 re)
✓	20.6b	(*.f64 (exp.f64 re) (-.f64 (+.f64 1 (sin.f64 im)) 1))
✓	23.0b	(.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)) (+.f64 re 1)))
✓	33.1b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
✓	41.3b	(*.f64 (+.f64 re 1) im)
	41.4b	(+.f64 (.f64 (+.f64 1 re) im) (.f64 (.f64 re (.f64 re 1/2)) im))
✓	23.1b	(sin.f64 im)
✓	61.6b	(*.f64 re im)
✓	23.0b	(*.f64 (sin.f64 im) (+.f64 re 1))
✓	41.4b	(.f64 im (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	19.4b	(*.f64 (exp.f64 re) im)
	41.1b	im
✓	38.6b	(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 re 1))) 1)
✓	23.0b	(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
	61.7b	(.f64 1/2 (.f64 re (*.f64 re im)))

Compiler

Compiled 163 to 119 computations (27% saved)

regimes101.0ms (1.2%)

Counts

22 → 1

Calls

Call 1

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

24.0ms	re
23.0ms	(sin.f64 im)
22.0ms	im
16.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
6.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 158 to 88 computations (44.3% saved)

regimes353.0ms (4%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

6 calls:

181.0ms	(sin.f64 im)
74.0ms	im
47.0ms	re
32.0ms	(sin.f64 im)
5.0ms	(exp.f64 re)

Results

Error	Segments	Branch
1.0b	2	`re`
8.3b	7	`im`
1.0b	2	`(exp.f64 re)`
1.0b	2	`(exp.f64 re)`
10.1b	3	`(sin.f64 im)`
10.1b	3	`(sin.f64 im)`

Compiler

Compiled 126 to 74 computations (41.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.937093470706671e-7	0.0010285056176157778

Compiler

Compiled 12 to 9 computations (25% saved)

regimes132.0ms (1.5%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

6 calls:

55.0ms	im
25.0ms	(sin.f64 im)
24.0ms	(sin.f64 im)
16.0ms	re
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
1.1b	2	`re`
8.3b	7	`im`
1.1b	2	`(exp.f64 re)`
1.1b	2	`(exp.f64 re)`
10.1b	3	`(sin.f64 im)`
10.1b	3	`(sin.f64 im)`

Compiler

Compiled 110 to 64 computations (41.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.937093470706671e-7	0.0010285056176157778

Compiler

Compiled 12 to 9 computations (25% saved)

regimes161.0ms (1.8%)

Counts

15 → 2

Calls

Call 1

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

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

Calls

6 calls:

54.0ms	im
53.0ms	(sin.f64 im)
24.0ms	(sin.f64 im)
16.0ms	re
5.0ms	(exp.f64 re)

Results

Error	Segments	Branch
1.3b	2	`re`
8.4b	7	`im`
1.3b	2	`(exp.f64 re)`
1.3b	2	`(exp.f64 re)`
10.2b	3	`(sin.f64 im)`
10.2b	3	`(sin.f64 im)`

Compiler

Compiled 98 to 57 computations (41.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.937093470706671e-7	0.0010285056176157778

Compiler

Compiled 12 to 9 computations (25% saved)

regimes181.0ms (2.1%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

5 calls:

91.0ms	im
45.0ms	(sin.f64 im)
23.0ms	(sin.f64 im)
14.0ms	re
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
1.8b	2	`re`
8.7b	7	`im`
1.8b	2	`(exp.f64 re)`
10.4b	3	`(sin.f64 im)`
10.4b	3	`(sin.f64 im)`

Compiler

Compiled 78 to 44 computations (43.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9999931899034182	1.0

Compiler

Compiled 12 to 9 computations (25% saved)

regimes214.0ms (2.4%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

4 calls:

141.0ms	im
52.0ms	(sin.f64 im)
14.0ms	re
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
2.0b	2	`re`
19.0b	7	`im`
2.0b	2	`(exp.f64 re)`
21.1b	3	`(sin.f64 im)`

Compiler

Compiled 70 to 40 computations (42.9% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.7729959240866607e-195	1.937093470706671e-7

Compiler

Compiled 12 to 9 computations (25% saved)

regimes91.0ms (1%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

4 calls:

67.0ms	im
13.0ms	re
4.0ms	(exp.f64 re)
4.0ms	(exp.f64 re)

Results

Error	Segments	Branch
19.5b	2	`re`
27.9b	3	`im`
19.5b	2	`(exp.f64 re)`
19.5b	2	`(exp.f64 re)`

Compiler

Compiled 68 to 39 computations (42.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9935873489276724	0.9999931899034182

Compiler

Compiled 12 to 9 computations (25% saved)

regimes72.0ms (0.8%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

2 calls:

46.0ms	re
24.0ms	im

Results

Error	Segments	Branch
19.6b	2	`re`
29.7b	3	`im`

Compiler

Compiled 58 to 32 computations (44.8% saved)

bsearch44.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
44.0ms	-447.9841648370633	-15.45690701229933

Compiler

Compiled 12 to 9 computations (25% saved)

regimes92.0ms (1%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

78.0ms	im
12.0ms	re

Results

Error	Segments	Branch
19.6b	2	`re`
29.7b	3	`im`

Compiler

Compiled 45 to 24 computations (46.7% saved)

bsearch45.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
45.0ms	-447.9841648370633	-15.45690701229933

Compiler

Compiled 12 to 9 computations (25% saved)

regimes33.0ms (0.4%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	im
11.0ms	re

Results

Error	Segments	Branch
19.8b	2	`re`
29.7b	3	`im`

Compiler

Compiled 34 to 17 computations (50% saved)

bsearch48.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
48.0ms	-0.006433300444698604	-6.810119770609936e-6

Compiler

Compiled 12 to 9 computations (25% saved)

regimes30.0ms (0.3%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	im
10.0ms	re

Results

Error	Segments	Branch
19.8b	2	`re`
29.7b	3	`im`

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch74.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
74.0ms	-0.006433300444698604	-6.810119770609936e-6

Compiler

Compiled 12 to 9 computations (25% saved)

regimes47.0ms (0.5%)

Counts

5 → 2

Calls

Call 1

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

Outputs
(-.f64 1 1)
im

Calls

2 calls:

37.0ms	im
9.0ms	re

Results

Error	Segments	Branch
19.9b	2	`re`
29.7b	3	`im`

Compiler

Compiled 17 to 10 computations (41.2% saved)

bsearch50.0ms (0.6%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
50.0ms	-447.9841648370633	-15.45690701229933

Compiler

Compiled 12 to 9 computations (25% saved)

regimes41.0ms (0.5%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

3 → 1

Calls

Call 1

Inputs
im
im
im

Outputs
im

Calls

2 calls:

36.0ms	re
4.0ms	im

Results

Error	Segments	Branch
41.1b	1	`re`
41.1b	1	`im`

Compiler

Compiled 11 to 6 computations (45.5% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
7×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	248
1	78	248

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 944473296573929/4722366482869645213696) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (*.f64 re 1/6) 1/2)) (+.f64 re 1))))
(if (<=.f64 (exp.f64 re) 944473296573929/4722366482869645213696) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (.f64 re 1/2))))))
(if (<=.f64 (exp.f64 re) 944473296573929/4722366482869645213696) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 1) (*.f64 (exp.f64 re) im) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 6575169876935467/1315033975387093376810247470720032166387584950705793464874570225767183038574270205528416634069397112806745742214044554428254858062545950965781953692662970212488805917782111149547915939471080679317823312933945344) (exp.f64 re) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 8962163258467287/9007199254740992) (exp.f64 re) (+.f64 (.f64 (+.f64 1 re) im) (.f64 (.f64 re (.f64 re 1/2)) im)))
(if (<=.f64 re -3940510386382971/8796093022208) (-.f64 1 1) (+.f64 (.f64 (+.f64 1 re) im) (.f64 (.f64 re (.f64 re 1/2)) im)))
(if (<=.f64 re -3940510386382971/8796093022208) (-.f64 1 1) (.f64 im (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2))))))
(if (<=.f64 re -1854272607072453/288230376151711744) (-.f64 1 1) (+.f64 (*.f64 re im) im))
(if (<=.f64 re -1854272607072453/288230376151711744) (-.f64 1 1) (*.f64 (+.f64 re 1) im))
(if (<=.f64 re -3940510386382971/8796093022208) (-.f64 1 1) im)
im

Outputs
(*.f64 (exp.f64 re) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 944473296573929/4722366482869645213696) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 (.f64 (.f64 re re) (+.f64 (*.f64 re 1/6) 1/2)) (+.f64 re 1))))
(if (<=.f64 (exp.f64 re) 944473296573929/4722366482869645213696) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (.f64 re 1/2))))))
(if (<=.f64 (exp.f64 re) 944473296573929/4722366482869645213696) (.f64 (exp.f64 re) im) (.f64 (sin.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 1) (*.f64 (exp.f64 re) im) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 6575169876935467/1315033975387093376810247470720032166387584950705793464874570225767183038574270205528416634069397112806745742214044554428254858062545950965781953692662970212488805917782111149547915939471080679317823312933945344) (exp.f64 re) (sin.f64 im))
(if (<=.f64 (exp.f64 re) 8962163258467287/9007199254740992) (exp.f64 re) (+.f64 (.f64 (+.f64 1 re) im) (.f64 (.f64 re (.f64 re 1/2)) im)))
(if (<=.f64 (exp.f64 re) 8962163258467287/9007199254740992) (exp.f64 re) (+.f64 (.f64 im (+.f64 re 1)) (.f64 im (.f64 re (.f64 re 1/2)))))
(if (<=.f64 re -3940510386382971/8796093022208) (-.f64 1 1) (+.f64 (.f64 (+.f64 1 re) im) (.f64 (.f64 re (.f64 re 1/2)) im)))
(if (<=.f64 re -3940510386382971/8796093022208) 0 (+.f64 (.f64 im (+.f64 re 1)) (.f64 im (.f64 re (.f64 re 1/2)))))
(if (<=.f64 re -3940510386382971/8796093022208) (-.f64 1 1) (.f64 im (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2))))))
(if (<=.f64 re -3940510386382971/8796093022208) 0 (.f64 im (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2))))))
(if (<=.f64 re -1854272607072453/288230376151711744) (-.f64 1 1) (+.f64 (*.f64 re im) im))
(if (<=.f64 re -1854272607072453/288230376151711744) 0 (+.f64 im (*.f64 re im)))
(if (<=.f64 re -1854272607072453/288230376151711744) (-.f64 1 1) (*.f64 (+.f64 re 1) im))
(if (<=.f64 re -1854272607072453/288230376151711744) 0 (*.f64 im (+.f64 re 1)))
(if (<=.f64 re -3940510386382971/8796093022208) (-.f64 1 1) im)
(if (<=.f64 re -3940510386382971/8796093022208) 0 im)
im

Compiler

Compiled 193 to 130 computations (32.6% saved)

soundness0.0ms (0%)

end166.0ms (1.9%)

Compiler: Compiled 169 to 92 computations (45.6% saved)