Details

analyze241.0ms (7.8%)

Algorithm

1×

Search

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

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.3s (75.5%)

Results

790.0ms	5864×	body	128	valid
707.0ms	1360×	body	1024	valid
300.0ms	691×	body	1024	invalid
263.0ms	715×	body	512	valid
102.0ms	343×	body	512	invalid
73.0ms	313×	body	256	valid
44.0ms	189×	body	256	invalid
30.0ms	246×	body	128	invalid
3.0ms	4×	body	2048	valid
1.0ms	1×	body	2048	invalid

preprocess18.0ms (0.6%)

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)

simplify6.0ms (0.2%)

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))

prune2.0ms (0.1%)

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))

series6.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	im	@	-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))

rewrite32.0ms (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))))))))

simplify36.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

812×	`fma-def_binary64`
778×	`distribute-lft-out_binary64`
569×	`unswap-sqr_binary64`
400×	`associate-l_binary64`
288×	`associate-r_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	296
1	122	294
2	312	274
3	911	250
4	2806	249
5	3670	249

Stop Event

1×	node limit

Counts

37 → 29

Calls

Call 1

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

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

prune20.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	27	2	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	3	30

Error

Counts

30 → 3

Alt Table

Status	Error	Program
▶	19.2b	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
	21.6b	(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 359 to 191 computations (46.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))
✓	0.3b	(+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im)))
✓	1.7b	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)

series5.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

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

rewrite48.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`log1p-expm1-u_binary64`
844×	`expm1-log1p-u_binary64`
98×	`add-sqr-sqrt_binary64`
95×	`*-un-lft-identity_binary64`
95×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	189	17
2	2467	17

Stop Event

1×	node limit

Counts

2 → 87

Calls

Call 1

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

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

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

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

simplify48.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

786×	`distribute-lft-out_binary64`
569×	`unswap-sqr_binary64`
402×	`associate-l_binary64`
291×	`associate-r_binary64`
290×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	620
1	157	578
2	416	544
3	1197	521
4	2462	521
5	3326	521

Stop Event

1×	node limit

Counts

135 → 118

Calls

Call 1

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

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

prune93.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	147	3	150

Error

Counts

150 → 3

Alt Table

Status	Error	Program
✓	19.2b	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
▶	21.6b	(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 2174 to 1153 computations (47% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series5.0ms (0.2%)

Counts

2 → 11

Calls

12 calls:

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

rewrite48.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`pow1_binary64`
666×	`add-log-exp_binary64`
666×	`log1p-expm1-u_binary64`
666×	`expm1-log1p-u_binary64`
69×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	17
1	128	15
2	1786	15

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify37.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

455×	`associate-+l+_binary64`
386×	`distribute-lft-out_binary64`
376×	`*-commutative_binary64`
315×	`associate-l_binary64`
308×	`associate-+r+_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	185
1	119	185
2	302	174
3	1129	171
4	3190	165
5	4331	165

Stop Event

1×	node limit

Counts

62 → 69

Calls

Call 1

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

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

prune34.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	69	3	72

Error

Counts

72 → 3

Alt Table

Status	Error	Program
✓	19.2b	(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (sin.f64 im))) 1)
✓	21.6b	(+.f64 (sin.f64 im) (*.f64 (sin.f64 im) re))
✓	0.0b	(*.f64 (exp.f64 re) (sin.f64 im))

Compiler

Compiled 961 to 502 computations (47.8% saved)

regimes31.0ms (1%)

Accuracy

Total -41.0b remaining (-319773%)

Threshold costs -41.0b (-319773%)

Counts

11 → 1

Compiler

Compiled 81 to 40 computations (50.6% 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))

end32.0ms (1%)

Stop Event

1×

done

Compiler

Compiled 35 to 16 computations (54.3% saved)

Details

analyze241.0ms (7.8%)

sample2.3s (75.5%)

preprocess18.0ms (0.6%)

simplify6.0ms (0.2%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

series6.0ms (0.2%)

rewrite32.0ms (1%)

simplify36.0ms (1.2%)

prune20.0ms (0.6%)

localize7.0ms (0.2%)

series5.0ms (0.2%)

rewrite48.0ms (1.6%)

simplify48.0ms (1.5%)

prune93.0ms (3%)

localize5.0ms (0.1%)

series5.0ms (0.2%)

rewrite48.0ms (1.6%)

simplify37.0ms (1.2%)

prune34.0ms (1.1%)

regimes31.0ms (1%)

simplify2.0ms (0.1%)

end32.0ms (1%)

Profiling