Details

analyze64.0ms (0.7%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.7s (29.1%)

Results

1.1s	6210×	body	256	valid
796.0ms	1368×	body	1024	valid
450.0ms	681×	body	1024	infinite
278.0ms	675×	body	512	valid
70.0ms	309×	body	512	infinite
62.0ms	476×	body	256	infinite
2.0ms	3×	body	2048	valid

Bogosity

preprocess19.0ms (0.2%)

Algorithm

2×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
	0.0b	(sin.f64 im)
✓	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))
1.0ms	re	@	-inf	(*.f64 (exp.f64 re) (sin.f64 im))
1.0ms	im	@	inf	(*.f64 (exp.f64 re) (sin.f64 im))

rewrite113.0ms (1.2%)

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)))))))

simplify99.0ms (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)

prune12.0ms (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
▶	0.9b	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
▶	23.1b	(sin.f64 im)
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 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))))
▶	19.4b	(*.f64 (exp.f64 re) im)

Compiler

Compiled 85 to 65 computations (23.5% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

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

series51.0ms (0.5%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
35.0ms	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)
3.0ms	re	@	inf	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
3.0ms	im	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
2.0ms	re	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)

rewrite178.0ms (1.9%)

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))))))

simplify112.0ms (1.2%)

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)))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(sin.f64 im)
	0.0b	(sin.f64 im)

Compiler

Compiled 5 to 3 computations (40% saved)

rewrite0.0ms (0%)

Counts: 0 → 0

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) im)
✓	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	@	-inf	(*.f64 (exp.f64 re) im)
0.0ms	im	@	0	(*.f64 (exp.f64 re) im)

rewrite43.0ms (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)))))))

simplify127.0ms (1.3%)

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 8 expressions with local error:

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

rewrite131.0ms (1.4%)

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))))))))

simplify132.0ms (1.4%)

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))

localize20.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

series109.0ms (1.2%)

Counts

3 → 23

Calls

15 calls:

Time	Variable		Point	Expression
50.0ms	im	@	inf	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
43.0ms	im	@	-inf	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
6.0ms	re	@	0	(+.f64 re (log.f64 (sin.f64 im)))
2.0ms	im	@	0	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
1.0ms	re	@	0	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))

rewrite99.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

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

Outputs

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

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

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

simplify82.0ms (0.9%)

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)))))

eval166.0ms (1.8%)

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

prune115.0ms (1.2%)

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

Compiler

Compiled 155 to 113 computations (27.1% saved)

localize34.0ms (0.4%)

Local error

Found 6 expressions with local error:

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

series8.0ms (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)))))
1.0ms	re	@	-inf	(.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)))))

rewrite103.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	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)))))

simplify151.0ms (1.6%)

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)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 12 to 4 computations (66.7% saved)

series5.0ms (0.1%)

Counts

1 → 21

Calls

6 calls:

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

rewrite65.0ms (0.7%)

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)))))

simplify145.0ms (1.5%)

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 4 expressions with local error:

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

Compiler

Compiled 16 to 9 computations (43.8% saved)

series4.0ms (0%)

Counts

1 → 16

Calls

6 calls:

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

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`pow1_binary64`
684×	`add-log-exp_binary64`
684×	`log1p-expm1-u_binary64`
684×	`expm1-log1p-u_binary64`
669×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	145	9
2	1890	9

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

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

simplify107.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1175×	`distribute-rgt-in_binary64`
848×	`distribute-lft-in_binary64`
730×	`fma-def_binary64`
426×	`unswap-sqr_binary64`
374×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	220
1	77	202
2	241	182
3	910	168
4	3152	168
5	4811	168
6	5256	168
7	5964	168
8	6065	168
9	6205	168
10	6399	168

Stop Event

1×	node limit

Counts

42 → 38

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

localize30.0ms (0.3%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 73 to 49 computations (32.9% saved)

series9.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

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

rewrite89.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`log-prod_binary64`
664×	`fma-def_binary64`
306×	`fma-neg_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	51
1	316	43
2	4510	41

Stop Event

1×	node limit

Counts

4 → 164

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 im) (.f64 (.f64 (sin.f64 im) (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 im) (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1))) (sin.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 1 re) (sin.f64 im)) (.f64 (.f64 (fma.f64 re 1/6 1/2) (.f64 re re)) (sin.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sin.f64 im) (+.f64 1 re)) (.f64 (sin.f64 im) (.f64 (fma.f64 re 1/6 1/2) (.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (fma.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1) 1))) (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (fma.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1) 1))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (fma.f64 re (fma.f64 re (fma.f64 re 1/6 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 (fma.f64 re 1/6 1/2) 1) 1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 im)) (fma.f64 re (fma.f64 re (fma.f64 re 1/6 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 (fma.f64 re 1/6 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) (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1))) 3)) (+.f64 (pow.f64 (sin.f64 im) 2) (-.f64 (.f64 (.f64 (sin.f64 im) (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1))) (.f64 (sin.f64 im) (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1)))) (.f64 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 im) 2) (.f64 (.f64 (sin.f64 im) (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1))) (.f64 (sin.f64 im) (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1))))) (-.f64 (sin.f64 im) (.f64 (sin.f64 im) (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1 (pow.f64 (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1)) 3)) (sin.f64 im)) (fma.f64 (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1)) (fma.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1 (pow.f64 (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1)) 2)) (sin.f64 im)) (-.f64 1 (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (sin.f64 im) (+.f64 1 (pow.f64 (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1)) 3))) (fma.f64 (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1)) (fma.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1) -1) 1))))) 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1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sin.f64 im) (fma.f64 re (fma.f64 re (fma.f64 re 1/6 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) (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (sin.f64 im) (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1)))) (exp.f64 (sin.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (sin.f64 im) (.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1)))) (+.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 (fma.f64 re 1/6 1/2) 1) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (sin.f64 im) 3) (pow.f64 (fma.f64 re (fma.f64 re (fma.f64 re 1/6 1/2) 1) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 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(2) ((x fma.f64 (.f64 1/2 (sqrt.f64 re)) (sqrt.f64 re) (.f64 1/6 (.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 re (cbrt.f64 (.f64 (.f64 re re) 1/36))) (cbrt.f64 (.f64 re 1/6)) (.f64 re 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 re (sqrt.f64 (.f64 re 1/6))) (sqrt.f64 (.f64 re 1/6)) (.f64 re 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 re 1/6) (cbrt.f64 (.f64 re re))) (cbrt.f64 re) (.f64 re 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 re 1/6) (sqrt.f64 re)) (sqrt.f64 re) (.f64 re 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 re 1/6 1/2) (.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 re 1/2) re) (.f64 (.f64 1/6 (.f64 re re)) re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 re re)) (.f64 (.f64 re 1/6) (.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 re 1/6) (.f64 re re)) (.f64 1/2 (.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 re (.f64 re 1/2)) (.f64 re (.f64 1/6 (.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 re re) 1/2) (.f64 (.f64 re re) (.f64 re 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 re re) (.f64 re 1/6)) (.f64 (.f64 re re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 re) (.f64 re (fma.f64 re 1/6 1/2)))) (cbrt.f64 (pow.f64 (exp.f64 re) (.f64 re (fma.f64 re 1/6 1/2)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 re) (.f64 re (fma.f64 re 1/6 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 re) (.f64 re (fma.f64 re 1/6 1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 re) (.f64 re (fma.f64 re 1/6 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 re 1/6 1/2) (.f64 re re)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 re re) (fma.f64 1/216 (pow.f64 re 3) 1/8)) (fma.f64 (.f64 re 1/6) (fma.f64 re 1/6 -1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 re re) (-.f64 1/4 (.f64 (.f64 re re) 1/36))) (+.f64 1/2 (.f64 -1/6 re)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (fma.f64 re 1/6 1/2) (.f64 re re)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (fma.f64 re 1/6 1/2) (.f64 re re))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 re (sqrt.f64 (fma.f64 re 1/6 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (fma.f64 re 1/6 1/2) (.f64 re re)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (fma.f64 re 1/6 1/2) (.f64 re re)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 re) (.f64 re (fma.f64 re 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 re 1/6 1/2) (.f64 re re)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (fma.f64 re 1/6 1/2) (.f64 re re)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (fma.f64 re 1/6 1/2) (.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (fma.f64 re 1/6 1/2) (.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (fma.f64 re 1/6 1/2) (.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (fma.f64 re 1/6 1/2) (.f64 re re))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 re (.f64 re 1/2) (.f64 re (.f64 1/6 (.f64 re re))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 (.f64 re re) (.f64 (.f64 re 1/6) (.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 re 1/6) (.f64 re re) (.f64 1/2 (.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 re re) 1/2 (.f64 (.f64 re re) (.f64 re 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 re re) (.f64 re 1/6) (.f64 (.f64 re re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 re 1/2) re (.f64 (.f64 1/6 (*.f64 re re)) re))))))

simplify108.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1317×	`distribute-rgt-in_binary64`
1069×	`distribute-lft-in_binary64`
863×	`associate-+l+_binary64`
444×	`unswap-sqr_binary64`
428×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	959
1	153	888
2	486	752
3	2350	720
4	3160	720
5	3550	720
6	4364	720
7	4491	720
8	4631	720

Stop Event

1×	node limit

Counts

224 → 199

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

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

eval173.0ms (1.8%)

Compiler: Compiled 8434 to 4988 computations (40.9% saved)

prune79.0ms (0.8%)

Pruning

16 alts after pruning (6 fresh and 10 done)

	Pruned	Kept	Total
New	478	4	482
Fresh	0	2	2
Picked	0	1	1
Done	0	9	9
Total	478	16	494

Error

Counts

494 → 16

Alt Table

Click to see full alt table

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

Compiler

Compiled 178 to 131 computations (26.4% saved)

localize8.0ms (0.1%)

Local error

Found 6 expressions with local error:

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

series9.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

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

rewrite63.0ms (0.7%)

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))))))))

simplify192.0ms (2%)

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))

localize7.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

31 → 23

Calls

Call 1

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

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

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	2.6b	(.f64 im (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
	0.0b	(+.f64 re (.f64 re (.f64 re 1/2)))
	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	im	@	0	(.f64 im (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
1.0ms	im	@	inf	(.f64 im (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
1.0ms	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)))))
0.0ms	re	@	-inf	(.f64 im (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))

rewrite63.0ms (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)) (cbrt.f64 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)) (*.f64 (cbrt.f64 im) (fma.f64 re (*.f64 re 1/2) re)) im)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 im im)) (*.f64 (cbrt.f64 im) 1) (*.f64 im (fma.f64 re (*.f64 re 1/2) re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 im im)) (*.f64 (cbrt.f64 im) 1) (*.f64 (*.f64 im (fma.f64 re (*.f64 re 1/2) re)) 1))))) (#(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)) im) im)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 im (fma.f64 re (*.f64 re 1/2) re)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 im) (sqrt.f64 im) (*.f64 (*.f64 im (fma.f64 re (*.f64 re 1/2) re)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) (fma.f64 re (*.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)))))

simplify159.0ms (1.7%)

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)

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

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

Compiler

Compiled 34 to 21 computations (38.2% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

779×	`prod-diff_binary64`
609×	`fma-def_binary64`
420×	`log-prod_binary64`
260×	`fma-neg_binary64`
242×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	206	19
2	3052	19

Stop Event

1×	node limit

Counts

2 → 190

Calls

Call 1

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

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

simplify132.0ms (1.4%)

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

238 → 213

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)

eval293.0ms (3.1%)

Compiler: Compiled 7256 to 4504 computations (37.9% saved)

prune94.0ms (1%)

Pruning

20 alts after pruning (5 fresh and 15 done)

	Pruned	Kept	Total
New	507	4	511
Fresh	0	1	1
Picked	0	1	1
Done	0	14	14
Total	507	20	527

Error

Counts

527 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	20.6b	(*.f64 (exp.f64 re) (-.f64 (+.f64 1 (sin.f64 im)) 1))
	41.4b	(+.f64 (.f64 im (+.f64 1 re)) (.f64 im (.f64 re (.f64 re 1/2))))
✓	61.6b	(*.f64 re im)
✓	41.3b	(+.f64 (*.f64 re im) im)
✓	38.8b	(exp.f64 re)
✓	24.0b	(pow.f64 (cbrt.f64 (sin.f64 im)) 3)
	40.2b	(-.f64 1 1)
✓	41.4b	(.f64 im (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
	41.1b	im
✓	23.0b	(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (.f64 re (+.f64 1/2 (.f64 re 1/6)))))))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	23.0b	(.f64 (sin.f64 im) (+.f64 1 (+.f64 re (.f64 re (*.f64 re 1/2)))))
	41.5b	(/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re))
✓	23.0b	(*.f64 (sin.f64 im) (+.f64 1 re))
✓	33.1b	(exp.f64 (+.f64 re (log.f64 (sin.f64 im))))
✓	19.4b	(*.f64 (exp.f64 re) im)
✓	41.3b	(*.f64 (+.f64 1 re) im)
✓	38.6b	(-.f64 (+.f64 1 (*.f64 (sin.f64 im) (+.f64 1 re))) 1)
✓	23.1b	(sin.f64 im)
	61.7b	(.f64 1/2 (.f64 re (*.f64 re im)))

Compiler

Compiled 176 to 128 computations (27.3% saved)

regimes104.0ms (1.1%)

Counts

21 → 1

Calls

Call 1

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

62.0ms	im
12.0ms	(sin.f64 im)
11.0ms	re
9.0ms	(*.f64 (exp.f64 re) (sin.f64 im))
3.0ms	(exp.f64 re)

Results

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

Compiler

Compiled 167 to 95 computations (43.1% saved)

regimes194.0ms (2.1%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

6 calls:

86.0ms	im
52.0ms	(sin.f64 im)
23.0ms	(sin.f64 im)
17.0ms	re
7.0ms	(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 135 to 81 computations (40% 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)

regimes194.0ms (2%)

Counts

15 → 2

Calls

Call 1

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

75.0ms	im
52.0ms	re
30.0ms	(sin.f64 im)
23.0ms	(sin.f64 im)
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 119 to 71 computations (40.3% 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)

regimes389.0ms (4.1%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

6 calls:

242.0ms	im
70.0ms	(sin.f64 im)
31.0ms	re
22.0ms	(sin.f64 im)
11.0ms	(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 107 to 64 computations (40.2% 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)

regimes282.0ms (3%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

5 calls:

109.0ms	(sin.f64 im)
85.0ms	(sin.f64 im)
60.0ms	im
14.0ms	re
8.0ms	(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 87 to 51 computations (41.4% 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)

regimes211.0ms (2.2%)

Counts

11 → 2

Calls

Call 1

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

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

Calls

4 calls:

136.0ms	im
30.0ms	(exp.f64 re)
26.0ms	(sin.f64 im)
16.0ms	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 79 to 47 computations (40.5% 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)

regimes73.0ms (0.8%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

4 calls:

38.0ms	re
22.0ms	im
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 77 to 46 computations (40.3% 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)

regimes131.0ms (1.4%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

2 calls:

107.0ms	re
21.0ms	im

Results

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

Compiler

Compiled 67 to 39 computations (41.8% saved)

bsearch49.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
49.0ms	-447.9841648370633	-15.45690701229933

Compiler

Compiled 12 to 9 computations (25% saved)

regimes111.0ms (1.2%)

Counts

8 → 2

Calls

Call 1

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

43.0ms	im
11.0ms	re

Results

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

Compiler

Compiled 54 to 31 computations (42.6% saved)

bsearch74.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
74.0ms	-447.9841648370633	-15.45690701229933

Compiler

Compiled 12 to 9 computations (25% saved)

regimes31.0ms (0.3%)

Counts

7 → 2

Calls

Call 1

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

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

Calls

2 calls:

20.0ms	im
9.0ms	re

Results

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

Compiler

Compiled 43 to 24 computations (44.2% saved)

bsearch107.0ms (1.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
107.0ms	-0.006433300444698604	-6.810119770609936e-6

Compiler

Compiled 12 to 9 computations (25% saved)

regimes76.0ms (0.8%)

Counts

6 → 2

Calls

Call 1

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

65.0ms	im
9.0ms	re

Results

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

Compiler

Compiled 32 to 17 computations (46.9% saved)

bsearch47.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
47.0ms	-0.006433300444698604	-6.810119770609936e-6

Compiler

Compiled 12 to 9 computations (25% saved)

regimes36.0ms (0.4%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

2 calls:

19.0ms	re
16.0ms	im

Results

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

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch49.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
49.0ms	-0.006433300444698604	-6.810119770609936e-6

Compiler

Compiled 12 to 9 computations (25% saved)

regimes22.0ms (0.2%)

Accuracy

Total -42.1b remaining (-211.9%)

Threshold costs -42.1b (-211.9%)

Counts

3 → 2

Calls

Call 1

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

Outputs
(-.f64 1 1)
im

Calls

2 calls:

14.0ms	im
7.0ms	re

Results

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

bsearch64.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
64.0ms	-447.9841648370633	-15.45690701229933

Compiler

Compiled 12 to 9 computations (25% saved)

simplify37.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary64`
12×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	271
1	92	271
2	100	271
3	104	271
4	106	271

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 1 (+.f64 re (.f64 re (.f64 re (+.f64 1/2 (*.f64 re 1/6))))))))
(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 1 re)))
(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 im (+.f64 1 re)) (.f64 im (.f64 re (.f64 re 1/2)))))
(if (<=.f64 re -3940510386382971/8796093022208) (-.f64 1 1) (+.f64 (.f64 im (+.f64 1 re)) (.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 -1854272607072453/288230376151711744) (-.f64 1 1) (/.f64 (.f64 (-.f64 1 (.f64 re re)) im) (-.f64 1 re)))
(if (<=.f64 re -1854272607072453/288230376151711744) (-.f64 1 1) (+.f64 (*.f64 re im) im))
(if (<=.f64 re -1854272607072453/288230376151711744) (-.f64 1 1) (*.f64 (+.f64 1 re) 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 1 (+.f64 re (.f64 re (.f64 re (+.f64 1/2 (*.f64 re 1/6))))))))
(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 1 re)))
(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 im (+.f64 1 re)) (.f64 im (.f64 re (.f64 re 1/2)))))
(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 im (+.f64 1 re)) (.f64 im (.f64 re (.f64 re 1/2)))))
(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 (-.f64 1 (.f64 re re)) im) (-.f64 1 re)))
(if (<=.f64 re -1854272607072453/288230376151711744) 0 (/.f64 (.f64 im (-.f64 1 (.f64 re re))) (-.f64 1 re)))
(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 1 re) 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 211 to 143 computations (32.2% saved)

soundness0.0ms (0%)

end282.0ms (3%)

Compiler: Compiled 185 to 103 computations (44.3% saved)