Details

analyze211.0ms (7.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
74.9%	21.9%	3.2%	6
74.9%	20.3%	4.8%	7
74.9%	18%	7.1%	8
74.9%	16.8%	8.3%	9
74.9%	15.4%	9.7%	10
74.9%	14.7%	10.3%	11
74.9%	14%	11.1%	12
74.9%	13.6%	11.4%	13
74.9%	13.3%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.2s (74.4%)

Results

706.0ms	1310×	body	1024	valid
679.0ms	5936×	body	128	valid
315.0ms	640×	body	1024	invalid
203.0ms	705×	body	512	valid
107.0ms	330×	body	512	invalid
62.0ms	302×	body	256	valid
37.0ms	181×	body	256	invalid
31.0ms	235×	body	128	invalid
3.0ms	3×	body	2048	valid

Compiler

Compiled 16 to 12 computations (25% saved)

preprocess13.0ms (0.5%)

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 7 to 5 computations (28.6% saved)

simplify10.0ms (0.3%)

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))

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

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.2%)

Counts

1 → 8

Calls

6 calls:

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

rewrite30.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`pow1_binary64`
483×	`add-log-exp_binary64`
483×	`log1p-expm1-u_binary64`
483×	`expm1-log1p-u_binary64`
471×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	113	8
2	1324	8

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

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

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

simplify30.0ms (1%)

Algorithm

1×	egg-herbie

Rules

867×	`fma-def_binary64`
496×	`associate-l_binary64`
401×	`associate-r_binary64`
338×	`cancel-sign-sub-inv_binary64`
241×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	168
1	125	160
2	363	139
3	1249	119
4	4517	119

Stop Event

1×	node limit

Counts

21 → 28

Calls

Call 1

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

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

prune14.0ms (0.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Error

Counts

29 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
▶	1.0b	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)

Compiler

Compiled 333 to 175 computations (47.4% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	0.5b	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
✓	0.7b	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

series222.0ms (7.6%)

Counts

2 → 40

Calls

12 calls:

Time	Variable		Point	Expression
28.0ms	re	@	inf	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
28.0ms	re	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
27.0ms	im	@	inf	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)
26.0ms	re	@	inf	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
26.0ms	im	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)

rewrite40.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

706×	`pow1_binary64`
657×	`add-log-exp_binary64`
657×	`log1p-expm1-u_binary64`
657×	`expm1-log1p-u_binary64`
79×	`add-sqr-sqrt_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 → 56

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)

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

Outputs

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

simplify34.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-neg_binary64`
364×	`fma-def_binary64`
346×	`unswap-sqr_binary64`
312×	`distribute-rgt-out_binary64`
300×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	652
1	196	644
2	651	624
3	2898	609

Stop Event

1×	node limit

Counts

96 → 72

Calls

Call 1

Inputs
(pow.f64 (sin.f64 im) 1/3)
(+.f64 (.f64 1/3 (.f64 re (pow.f64 (pow.f64 (sin.f64 im) 7) 1/9))) (pow.f64 (sin.f64 im) 1/3))
(-.f64 (+.f64 (.f64 1/3 (.f64 re (pow.f64 (pow.f64 (sin.f64 im) 7) 1/9))) (+.f64 (.f64 1/6 (.f64 (pow.f64 re 2) (pow.f64 (sin.f64 im) 1/3))) (pow.f64 (sin.f64 im) 1/3))) (.f64 1/9 (.f64 (pow.f64 re 2) (pow.f64 (pow.f64 (sin.f64 im) 11) 1/9))))
(-.f64 (+.f64 (.f64 5/81 (.f64 (pow.f64 re 3) (pow.f64 (pow.f64 (sin.f64 im) 5) 1/3))) (+.f64 (.f64 1/3 (.f64 re (pow.f64 (pow.f64 (sin.f64 im) 7) 1/9))) (+.f64 (.f64 1/18 (.f64 (pow.f64 re 3) (pow.f64 (sin.f64 im) 1/3))) (+.f64 (.f64 1/6 (.f64 (pow.f64 re 2) (pow.f64 (sin.f64 im) 1/3))) (pow.f64 (sin.f64 im) 1/3))))) (+.f64 (.f64 1/9 (.f64 (pow.f64 re 2) (pow.f64 (pow.f64 (sin.f64 im) 11) 1/9))) (.f64 1/9 (.f64 (pow.f64 re 3) (pow.f64 (pow.f64 (sin.f64 im) 7) 1/9)))))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(sin.f64 im)
(+.f64 (*.f64 re (pow.f64 (pow.f64 (sin.f64 im) 13) 1/9)) (sin.f64 im))
(+.f64 (.f64 re (pow.f64 (pow.f64 (sin.f64 im) 13) 1/9)) (+.f64 (.f64 1/2 (*.f64 (pow.f64 re 2) (sin.f64 im))) (sin.f64 im)))
(+.f64 (.f64 re (pow.f64 (pow.f64 (sin.f64 im) 13) 1/9)) (+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (.f64 1/6 (*.f64 (pow.f64 re 3) (sin.f64 im))) (sin.f64 im))))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (exp.f64 re) (sin.f64 im))

Outputs
(pow.f64 (sin.f64 im) 1/3)
(cbrt.f64 (sin.f64 im))
(+.f64 (.f64 1/3 (.f64 re (pow.f64 (pow.f64 (sin.f64 im) 7) 1/9))) (pow.f64 (sin.f64 im) 1/3))
(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 re (.f64 1/3 (.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 (.f64 1/3 (.f64 re (pow.f64 (pow.f64 (sin.f64 im) 7) 1/9))) (+.f64 (.f64 1/6 (.f64 (pow.f64 re 2) (pow.f64 (sin.f64 im) 1/3))) (pow.f64 (sin.f64 im) 1/3))) (.f64 1/9 (.f64 (pow.f64 re 2) (pow.f64 (pow.f64 (sin.f64 im) 11) 1/9))))
(+.f64 (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))) (fma.f64 1/6 (.f64 (cbrt.f64 (sin.f64 im)) (.f64 re re)) (cbrt.f64 (sin.f64 im)))) (.f64 -1/9 (.f64 (.f64 re re) (.f64 (pow.f64 (pow.f64 (sin.f64 im) 11) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 11) 1/18)))))
(+.f64 (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))) (.f64 (+.f64 (.f64 1/6 (.f64 re re)) 1) (cbrt.f64 (sin.f64 im)))) (.f64 (.f64 (.f64 re re) (*.f64 (pow.f64 (pow.f64 (sin.f64 im) 11) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 11) 1/18))) -1/9))
(fma.f64 re (.f64 1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18))) (fma.f64 (fma.f64 1/6 (.f64 re re) 1) (cbrt.f64 (sin.f64 im)) (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 11) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 11) 1/18)) (.f64 (*.f64 re re) -1/9))))
(fma.f64 (fma.f64 1/6 (.f64 re re) 1) (cbrt.f64 (sin.f64 im)) (.f64 re (-.f64 (.f64 1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18))) (.f64 1/9 (.f64 re (*.f64 (pow.f64 (pow.f64 (sin.f64 im) 11) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 11) 1/18)))))))
(-.f64 (+.f64 (.f64 5/81 (.f64 (pow.f64 re 3) (pow.f64 (pow.f64 (sin.f64 im) 5) 1/3))) (+.f64 (.f64 1/3 (.f64 re (pow.f64 (pow.f64 (sin.f64 im) 7) 1/9))) (+.f64 (.f64 1/18 (.f64 (pow.f64 re 3) (pow.f64 (sin.f64 im) 1/3))) (+.f64 (.f64 1/6 (.f64 (pow.f64 re 2) (pow.f64 (sin.f64 im) 1/3))) (pow.f64 (sin.f64 im) 1/3))))) (+.f64 (.f64 1/9 (.f64 (pow.f64 re 2) (pow.f64 (pow.f64 (sin.f64 im) 11) 1/9))) (.f64 1/9 (.f64 (pow.f64 re 3) (pow.f64 (pow.f64 (sin.f64 im) 7) 1/9)))))
(-.f64 (fma.f64 5/81 (.f64 (pow.f64 re 3) (cbrt.f64 (pow.f64 (sin.f64 im) 5))) (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))) (fma.f64 1/18 (.f64 (cbrt.f64 (sin.f64 im)) (pow.f64 re 3)) (fma.f64 1/6 (.f64 (cbrt.f64 (sin.f64 im)) (.f64 re re)) (cbrt.f64 (sin.f64 im)))))) (.f64 1/9 (+.f64 (.f64 (.f64 re re) (.f64 (pow.f64 (pow.f64 (sin.f64 im) 11) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 11) 1/18))) (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18)) (pow.f64 re 3)))))
(+.f64 (fma.f64 5/81 (.f64 (pow.f64 re 3) (cbrt.f64 (pow.f64 (sin.f64 im) 5))) (+.f64 (.f64 (cbrt.f64 (sin.f64 im)) (+.f64 (.f64 (pow.f64 re 3) 1/18) (.f64 1/6 (.f64 re re)))) (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))))) (.f64 -1/9 (fma.f64 (.f64 re re) (.f64 (pow.f64 (pow.f64 (sin.f64 im) 11) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 11) 1/18)) (.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18)) (pow.f64 re 3)))))
(fma.f64 -1/9 (.f64 (.f64 re re) (+.f64 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 11) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 11) 1/18)) (.f64 re (.f64 (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18))))) (fma.f64 re (.f64 1/3 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 7) 1/18))) (fma.f64 5/81 (.f64 (pow.f64 re 3) (cbrt.f64 (pow.f64 (sin.f64 im) 5))) (.f64 (cbrt.f64 (sin.f64 im)) (+.f64 (fma.f64 1/6 (.f64 re re) 1) (*.f64 (pow.f64 re 3) 1/18))))))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 (.f64 re re) (+.f64 (.f64 re 1/18) 1/6)) 1) (cbrt.f64 (sin.f64 im))) (.f64 (.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 re) (.f64 1/9 (pow.f64 re 3))))) (.f64 (.f64 re re) (-.f64 (.f64 1/9 (.f64 (pow.f64 (pow.f64 (sin.f64 im) 11) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 11) 1/18))) (.f64 5/81 (.f64 re (cbrt.f64 (pow.f64 (sin.f64 im) 5)))))))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(pow.f64 (*.f64 (exp.f64 re) (sin.f64 im)) 1/3)
(cbrt.f64 (*.f64 (sin.f64 im) (exp.f64 re)))
(sin.f64 im)
(+.f64 (*.f64 re (pow.f64 (pow.f64 (sin.f64 im) 13) 1/9)) (sin.f64 im))
(fma.f64 re (*.f64 (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18)) (sin.f64 im))
(+.f64 (.f64 re (pow.f64 (pow.f64 (sin.f64 im) 13) 1/9)) (+.f64 (.f64 1/2 (*.f64 (pow.f64 re 2) (sin.f64 im))) (sin.f64 im)))
(fma.f64 re (.f64 (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18)) (fma.f64 1/2 (.f64 (sin.f64 im) (*.f64 re re)) (sin.f64 im)))
(fma.f64 re (.f64 (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18)) (.f64 (+.f64 (.f64 (.f64 1/2 re) re) 1) (sin.f64 im)))
(fma.f64 re (.f64 (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18)) (.f64 (sin.f64 im) (fma.f64 (*.f64 re re) 1/2 1)))
(+.f64 (.f64 re (pow.f64 (pow.f64 (sin.f64 im) 13) 1/9)) (+.f64 (.f64 1/2 (.f64 (pow.f64 re 2) (sin.f64 im))) (+.f64 (.f64 1/6 (*.f64 (pow.f64 re 3) (sin.f64 im))) (sin.f64 im))))
(fma.f64 re (.f64 (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18)) (fma.f64 1/2 (.f64 (sin.f64 im) (.f64 re re)) (fma.f64 1/6 (.f64 (sin.f64 im) (pow.f64 re 3)) (sin.f64 im))))
(+.f64 (.f64 (sin.f64 im) (+.f64 (.f64 (.f64 1/2 re) re) (.f64 1/6 (pow.f64 re 3)))) (fma.f64 re (*.f64 (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18)) (sin.f64 im)))
(fma.f64 (sin.f64 im) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6))) (fma.f64 re (.f64 (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18) (pow.f64 (pow.f64 (sin.f64 im) 13) 1/18)) (sin.f64 im)))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (sin.f64 im))
(*.f64 (sin.f64 im) (exp.f64 re))

prune45.0ms (1.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	100	2	102

Error

Counts

102 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	1.0b	(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) 3)

Compiler

Compiled 1536 to 762 computations (50.4% saved)

regimes35.0ms (1.2%)

Accuracy

Total 0.0b remaining (8.4%)

Threshold costs 0.0b (8.4%)

Counts

5 → 1

Compiler

Compiled 207 to 150 computations (27.5% saved)

simplify2.0ms (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

Calls

Call 1

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

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

end41.0ms (1.4%)

Stop Event

1×

done

Compiler

Compiled 31 to 23 computations (25.8% saved)

Details

analyze211.0ms (7.3%)

sample2.2s (74.4%)

preprocess13.0ms (0.5%)

simplify10.0ms (0.3%)

prune1.0ms (0%)

localize4.0ms (0.1%)

series7.0ms (0.2%)

rewrite30.0ms (1%)

simplify30.0ms (1%)

prune14.0ms (0.5%)

localize6.0ms (0.2%)

series222.0ms (7.6%)

rewrite40.0ms (1.4%)

simplify34.0ms (1.2%)

prune45.0ms (1.5%)

regimes35.0ms (1.2%)

simplify2.0ms (0.1%)

end41.0ms (1.4%)

Profiling