Details

analyze204.0ms (8.1%)

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%	18.7%	6.3%	6
74.9%	18.7%	6.3%	7
74.9%	15.6%	9.5%	8
74.9%	15.6%	9.5%	9
74.9%	14%	11%	10
74.9%	14%	11%	11
74.9%	13.3%	11.8%	12
74.9%	13.3%	11.8%	13
74.9%	12.9%	12.2%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample2.0s (79.9%)

Results

669.0ms	1302×	body	1024	valid
639.0ms	5937×	body	128	valid
283.0ms	656×	body	1024	invalid
196.0ms	700×	body	512	valid
86.0ms	332×	body	512	invalid
59.0ms	311×	body	256	valid
32.0ms	199×	body	128	invalid
32.0ms	174×	body	256	invalid
5.0ms	6×	body	2048	valid

Compiler

Compiled 16 to 12 computations (25% saved)

preprocess14.0ms (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) (cos.f64 im))
(*.f64 (exp.f64 im) (cos.f64 re))

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify8.0ms (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) (cos.f64 im))

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

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series4.0ms (0.2%)

Counts

1 → 8

Calls

6 calls:

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

rewrite29.0ms (1.2%)

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) (cos.f64 im))

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

Outputs

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

simplify23.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

767×	`fma-neg_binary64`
720×	`fma-def_binary64`
541×	`cancel-sign-sub-inv_binary64`
293×	`distribute-rgt-neg-in_binary64`
237×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	38	166
1	107	160
2	307	142
3	1089	122
4	3080	119

Stop Event

1×	node limit

Counts

21 → 27

Calls

Call 1

Inputs
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(+.f64 (cos.f64 im) (+.f64 (.f64 (cos.f64 im) re) (.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2)))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (cos.f64 im) (+.f64 (.f64 (cos.f64 im) re) (.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2))))))
(exp.f64 re)
(-.f64 (exp.f64 re) (.f64 1/2 (.f64 (exp.f64 re) (pow.f64 im 2))))
(-.f64 (+.f64 (exp.f64 re) (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)))) (.f64 1/2 (.f64 (exp.f64 re) (pow.f64 im 2))))
(-.f64 (+.f64 (exp.f64 re) (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)))) (+.f64 (.f64 1/720 (.f64 (exp.f64 re) (pow.f64 im 6))) (.f64 1/2 (.f64 (exp.f64 re) (pow.f64 im 2)))))

Outputs
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(*.f64 (+.f64 re 1) (cos.f64 im))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(+.f64 (cos.f64 im) (+.f64 (.f64 (cos.f64 im) re) (.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2)))))
(+.f64 (cos.f64 im) (fma.f64 (cos.f64 im) re (.f64 1/2 (.f64 (cos.f64 im) (*.f64 re re)))))
(+.f64 (cos.f64 im) (fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (*.f64 (cos.f64 im) re)))
(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))
(.f64 (cos.f64 im) (fma.f64 re (.f64 re 1/2) (+.f64 re 1)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (cos.f64 im) (+.f64 (.f64 (cos.f64 im) re) (.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2))))))
(fma.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)) (+.f64 (cos.f64 im) (fma.f64 (cos.f64 im) re (.f64 1/2 (.f64 (cos.f64 im) (.f64 re re))))))
(+.f64 (fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (.f64 (cos.f64 im) re)) (fma.f64 (.f64 (cos.f64 im) 1/6) (pow.f64 re 3) (cos.f64 im)))
(fma.f64 (cos.f64 im) (.f64 1/6 (pow.f64 re 3)) (.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 re (.f64 re 1/2)))))
(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 1/2 (.f64 re 1/6)))))
(exp.f64 re)
(-.f64 (exp.f64 re) (.f64 1/2 (.f64 (exp.f64 re) (pow.f64 im 2))))
(+.f64 (exp.f64 re) (.f64 -1/2 (.f64 (exp.f64 re) (*.f64 im im))))
(+.f64 (exp.f64 re) (.f64 (.f64 (exp.f64 re) (*.f64 im im)) -1/2))
(.f64 (+.f64 (.f64 (*.f64 im im) -1/2) 1) (exp.f64 re))
(.f64 (exp.f64 re) (fma.f64 (.f64 im im) -1/2 1))
(-.f64 (+.f64 (exp.f64 re) (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)))) (.f64 1/2 (.f64 (exp.f64 re) (pow.f64 im 2))))
(+.f64 (exp.f64 re) (-.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (.f64 1/2 (.f64 (exp.f64 re) (*.f64 im im)))))
(+.f64 (exp.f64 re) (fma.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)) (.f64 (.f64 (exp.f64 re) (.f64 im im)) -1/2)))
(+.f64 (exp.f64 re) (.f64 (exp.f64 re) (-.f64 (.f64 1/24 (pow.f64 im 4)) (.f64 im (.f64 im 1/2)))))
(.f64 (exp.f64 re) (-.f64 (fma.f64 1/24 (pow.f64 im 4) 1) (.f64 1/2 (*.f64 im im))))
(.f64 (exp.f64 re) (+.f64 (fma.f64 1/24 (pow.f64 im 4) 1) (.f64 (*.f64 im im) -1/2)))
(-.f64 (+.f64 (exp.f64 re) (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)))) (+.f64 (.f64 1/720 (.f64 (exp.f64 re) (pow.f64 im 6))) (.f64 1/2 (.f64 (exp.f64 re) (pow.f64 im 2)))))
(-.f64 (+.f64 (exp.f64 re) (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)))) (fma.f64 1/720 (.f64 (exp.f64 re) (pow.f64 im 6)) (.f64 1/2 (.f64 (exp.f64 re) (.f64 im im)))))
(-.f64 (fma.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)) (exp.f64 re)) (fma.f64 1/2 (.f64 (exp.f64 re) (.f64 im im)) (.f64 (exp.f64 re) (*.f64 (pow.f64 im 6) 1/720))))
(-.f64 (fma.f64 (exp.f64 re) (.f64 1/24 (pow.f64 im 4)) (exp.f64 re)) (.f64 (exp.f64 re) (+.f64 (.f64 im (.f64 im 1/2)) (*.f64 1/720 (pow.f64 im 6)))))
(fma.f64 (exp.f64 re) (fma.f64 1/24 (pow.f64 im 4) (.f64 (pow.f64 im 6) -1/720)) (.f64 (exp.f64 re) (fma.f64 (*.f64 im im) -1/2 1)))
(.f64 (exp.f64 re) (-.f64 (fma.f64 1/24 (pow.f64 im 4) 1) (fma.f64 1/720 (pow.f64 im 6) (.f64 1/2 (*.f64 im im)))))

prune14.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	26	1	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	2	28

Error

Counts

28 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
▶	0.2b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))

Compiler

Compiled 322 to 174 computations (46% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	0.2b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
✓	0.2b	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)

series8.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	re	@	-inf	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
1.0ms	im	@	0	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
1.0ms	re	@	0	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
1.0ms	re	@	inf	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)
1.0ms	im	@	inf	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)

rewrite41.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

713×	`pow1_binary64`
664×	`add-log-exp_binary64`
664×	`log1p-expm1-u_binary64`
664×	`expm1-log1p-u_binary64`
81×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	184	19
2	1902	19

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

Outputs

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

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

simplify36.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

648×	`fma-neg_binary64`
484×	`associate-l_binary64`
450×	`associate-r_binary64`
391×	`fma-def_binary64`
386×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	746
1	206	728
2	759	678
3	3375	666

Stop Event

1×	node limit

Counts

104 → 84

Calls

Call 1

Inputs
(pow.f64 (cos.f64 im) 3)
(+.f64 (.f64 3 (.f64 (pow.f64 (cos.f64 im) 3) re)) (pow.f64 (cos.f64 im) 3))
(+.f64 (.f64 3 (.f64 (pow.f64 (cos.f64 im) 3) re)) (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 9/2 (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 2)))))
(+.f64 (.f64 3 (.f64 (pow.f64 (cos.f64 im) 3) re)) (+.f64 (pow.f64 (cos.f64 im) 3) (+.f64 (.f64 9/2 (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3))) (.f64 9/2 (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 2))))))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(pow.f64 (exp.f64 re) 3)
(-.f64 (pow.f64 (exp.f64 re) 3) (.f64 3/2 (.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 im 2))))
(-.f64 (+.f64 (.f64 7/8 (.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 im 4))) (pow.f64 (exp.f64 re) 3)) (.f64 3/2 (.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 im 2))))
(-.f64 (+.f64 (.f64 7/8 (.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 im 4))) (pow.f64 (exp.f64 re) 3)) (+.f64 (.f64 3/2 (.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 im 2))) (.f64 61/240 (.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 im 6)))))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(+.f64 (cos.f64 im) (+.f64 (.f64 (cos.f64 im) re) (.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2)))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (cos.f64 im) (+.f64 (.f64 (cos.f64 im) re) (.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2))))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(exp.f64 re)
(-.f64 (exp.f64 re) (.f64 1/2 (.f64 (exp.f64 re) (pow.f64 im 2))))
(-.f64 (+.f64 (exp.f64 re) (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)))) (.f64 1/2 (.f64 (exp.f64 re) (pow.f64 im 2))))
(-.f64 (+.f64 (exp.f64 re) (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)))) (+.f64 (.f64 1/720 (.f64 (exp.f64 re) (pow.f64 im 6))) (.f64 1/2 (.f64 (exp.f64 re) (pow.f64 im 2)))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (exp.f64 re) (cos.f64 im))

Outputs
(pow.f64 (cos.f64 im) 3)
(+.f64 (.f64 3 (.f64 (pow.f64 (cos.f64 im) 3) re)) (pow.f64 (cos.f64 im) 3))
(fma.f64 3 (*.f64 (pow.f64 (cos.f64 im) 3) re) (pow.f64 (cos.f64 im) 3))
(.f64 (+.f64 (.f64 3 re) 1) (pow.f64 (cos.f64 im) 3))
(+.f64 (.f64 3 (.f64 (pow.f64 (cos.f64 im) 3) re)) (+.f64 (pow.f64 (cos.f64 im) 3) (.f64 9/2 (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 2)))))
(+.f64 (fma.f64 3 (.f64 (pow.f64 (cos.f64 im) 3) re) (pow.f64 (cos.f64 im) 3)) (.f64 (.f64 9/2 (pow.f64 (cos.f64 im) 3)) (.f64 re re)))
(fma.f64 3 (.f64 (pow.f64 (cos.f64 im) 3) re) (fma.f64 9/2 (.f64 (pow.f64 (cos.f64 im) 3) (*.f64 re re)) (pow.f64 (cos.f64 im) 3)))
(+.f64 (pow.f64 (cos.f64 im) 3) (.f64 (pow.f64 (cos.f64 im) 3) (+.f64 (.f64 re (.f64 re 9/2)) (.f64 3 re))))
(+.f64 (.f64 3 (.f64 (pow.f64 (cos.f64 im) 3) re)) (+.f64 (pow.f64 (cos.f64 im) 3) (+.f64 (.f64 9/2 (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3))) (.f64 9/2 (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 2))))))
(+.f64 (fma.f64 3 (.f64 (pow.f64 (cos.f64 im) 3) re) (pow.f64 (cos.f64 im) 3)) (.f64 9/2 (+.f64 (.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 re 3)) (.f64 (pow.f64 (cos.f64 im) 3) (*.f64 re re)))))
(fma.f64 3 (.f64 (pow.f64 (cos.f64 im) 3) re) (fma.f64 9/2 (.f64 (pow.f64 (cos.f64 im) 3) (+.f64 (pow.f64 re 3) (*.f64 re re))) (pow.f64 (cos.f64 im) 3)))
(fma.f64 9/2 (.f64 (pow.f64 (cos.f64 im) 3) (fma.f64 re re (pow.f64 re 3))) (.f64 (+.f64 (*.f64 3 re) 1) (pow.f64 (cos.f64 im) 3)))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(pow.f64 (exp.f64 re) 3)
(-.f64 (pow.f64 (exp.f64 re) 3) (.f64 3/2 (.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 im 2))))
(+.f64 (pow.f64 (exp.f64 re) 3) (.f64 -3/2 (.f64 (pow.f64 (exp.f64 re) 3) (*.f64 im im))))
(+.f64 (pow.f64 (exp.f64 re) 3) (.f64 (.f64 (pow.f64 (exp.f64 re) 3) (*.f64 im im)) -3/2))
(.f64 (+.f64 (.f64 (*.f64 im im) -3/2) 1) (pow.f64 (exp.f64 re) 3))
(-.f64 (+.f64 (.f64 7/8 (.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 im 4))) (pow.f64 (exp.f64 re) 3)) (.f64 3/2 (.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 im 2))))
(+.f64 (fma.f64 7/8 (.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 im 4)) (pow.f64 (exp.f64 re) 3)) (.f64 -3/2 (.f64 (pow.f64 (exp.f64 re) 3) (.f64 im im))))
(-.f64 (fma.f64 (.f64 (pow.f64 (exp.f64 re) 3) 7/8) (pow.f64 im 4) (pow.f64 (exp.f64 re) 3)) (.f64 (pow.f64 (exp.f64 re) 3) (.f64 (.f64 im im) 3/2)))
(+.f64 (pow.f64 (exp.f64 re) 3) (.f64 (pow.f64 (exp.f64 re) 3) (-.f64 (.f64 7/8 (pow.f64 im 4)) (.f64 im (.f64 im 3/2)))))
(+.f64 (pow.f64 (exp.f64 re) 3) (.f64 (pow.f64 (exp.f64 re) 3) (fma.f64 7/8 (pow.f64 im 4) (.f64 (*.f64 im im) -3/2))))
(-.f64 (+.f64 (.f64 7/8 (.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 im 4))) (pow.f64 (exp.f64 re) 3)) (+.f64 (.f64 3/2 (.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 im 2))) (.f64 61/240 (.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 im 6)))))
(-.f64 (fma.f64 7/8 (.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 im 4)) (pow.f64 (exp.f64 re) 3)) (fma.f64 3/2 (.f64 (pow.f64 (exp.f64 re) 3) (.f64 im im)) (.f64 61/240 (*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 im 6)))))
(-.f64 (fma.f64 (.f64 (pow.f64 (exp.f64 re) 3) 7/8) (pow.f64 im 4) (pow.f64 (exp.f64 re) 3)) (fma.f64 3/2 (.f64 (pow.f64 (exp.f64 re) 3) (.f64 im im)) (.f64 (pow.f64 (exp.f64 re) 3) (*.f64 (pow.f64 im 6) 61/240))))
(-.f64 (.f64 (+.f64 (.f64 7/8 (pow.f64 im 4)) 1) (pow.f64 (exp.f64 re) 3)) (.f64 (pow.f64 (exp.f64 re) 3) (+.f64 (.f64 im (.f64 im 3/2)) (.f64 61/240 (pow.f64 im 6)))))
(fma.f64 (+.f64 (.f64 7/8 (pow.f64 im 4)) 1) (pow.f64 (exp.f64 re) 3) (.f64 (pow.f64 (exp.f64 re) 3) (fma.f64 (.f64 im im) -3/2 (.f64 (pow.f64 im 6) -61/240))))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(*.f64 (pow.f64 (exp.f64 re) 3) (pow.f64 (cos.f64 im) 3))
(*.f64 (pow.f64 (cos.f64 im) 3) (pow.f64 (exp.f64 re) 3))
(cos.f64 im)
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(+.f64 (cos.f64 im) (+.f64 (.f64 (cos.f64 im) re) (.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2)))))
(+.f64 (cos.f64 im) (fma.f64 (cos.f64 im) re (.f64 (.f64 1/2 (cos.f64 im)) (*.f64 re re))))
(+.f64 (cos.f64 im) (fma.f64 (.f64 (cos.f64 im) 1/2) (.f64 re re) (*.f64 (cos.f64 im) re)))
(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (cos.f64 im) (+.f64 (.f64 (cos.f64 im) re) (.f64 1/2 (*.f64 (cos.f64 im) (pow.f64 re 2))))))
(fma.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)) (+.f64 (cos.f64 im) (fma.f64 (cos.f64 im) re (.f64 (.f64 1/2 (cos.f64 im)) (.f64 re re)))))
(+.f64 (fma.f64 (.f64 (cos.f64 im) 1/2) (.f64 re re) (.f64 (cos.f64 im) re)) (fma.f64 (.f64 (cos.f64 im) 1/6) (pow.f64 re 3) (cos.f64 im)))
(fma.f64 (cos.f64 im) (.f64 (pow.f64 re 3) 1/6) (.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 re (.f64 re 1/2)))))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 re)
(-.f64 (exp.f64 re) (.f64 1/2 (.f64 (exp.f64 re) (pow.f64 im 2))))
(-.f64 (exp.f64 re) (.f64 (.f64 1/2 (exp.f64 re)) (*.f64 im im)))
(-.f64 (exp.f64 re) (.f64 (exp.f64 re) (.f64 (*.f64 im im) 1/2)))
(.f64 (+.f64 (.f64 (*.f64 im im) -1/2) 1) (exp.f64 re))
(fma.f64 (.f64 (.f64 im im) -1/2) (exp.f64 re) (exp.f64 re))
(-.f64 (+.f64 (exp.f64 re) (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)))) (.f64 1/2 (.f64 (exp.f64 re) (pow.f64 im 2))))
(+.f64 (exp.f64 re) (-.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (.f64 (.f64 1/2 (exp.f64 re)) (*.f64 im im))))
(+.f64 (fma.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)) (exp.f64 re)) (.f64 (.f64 -1/2 (exp.f64 re)) (.f64 im im)))
(+.f64 (exp.f64 re) (.f64 (exp.f64 re) (+.f64 (.f64 (pow.f64 im 4) 1/24) (.f64 (.f64 im im) -1/2))))
(+.f64 (exp.f64 re) (.f64 (exp.f64 re) (fma.f64 (pow.f64 im 4) 1/24 (.f64 (*.f64 im im) -1/2))))
(-.f64 (+.f64 (exp.f64 re) (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)))) (+.f64 (.f64 1/720 (.f64 (exp.f64 re) (pow.f64 im 6))) (.f64 1/2 (.f64 (exp.f64 re) (pow.f64 im 2)))))
(-.f64 (+.f64 (exp.f64 re) (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)))) (fma.f64 1/720 (.f64 (exp.f64 re) (pow.f64 im 6)) (.f64 (.f64 1/2 (exp.f64 re)) (.f64 im im))))
(-.f64 (fma.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)) (exp.f64 re)) (fma.f64 1/2 (.f64 im (.f64 im (exp.f64 re))) (.f64 (exp.f64 re) (*.f64 (pow.f64 im 6) 1/720))))
(-.f64 (.f64 (+.f64 (.f64 (pow.f64 im 4) 1/24) 1) (exp.f64 re)) (.f64 (exp.f64 re) (+.f64 (.f64 im (.f64 im 1/2)) (.f64 (pow.f64 im 6) 1/720))))
(fma.f64 (exp.f64 re) (fma.f64 (pow.f64 im 4) 1/24 (.f64 (pow.f64 im 6) -1/720)) (fma.f64 (.f64 (*.f64 im im) -1/2) (exp.f64 re) (exp.f64 re)))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))
(*.f64 (exp.f64 re) (cos.f64 im))
(*.f64 (cos.f64 im) (exp.f64 re))

prune51.0ms (2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	111	2	113

Error

Counts

113 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
✓	0.2b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))

Compiler

Compiled 1541 to 764 computations (50.4% saved)

regimes21.0ms (0.8%)

Accuracy

Total 0.0b remaining (17.2%)

Threshold costs 0.0b (17.2%)

Counts

6 → 1

Compiler

Compiled 54 to 29 computations (46.3% 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) (cos.f64 im))

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

end39.0ms (1.6%)

Stop Event

1×

done

Compiler

Compiled 31 to 23 computations (25.8% saved)

Details

analyze204.0ms (8.1%)

sample2.0s (79.9%)

preprocess14.0ms (0.6%)

simplify8.0ms (0.3%)

prune1.0ms (0%)

localize4.0ms (0.2%)

series4.0ms (0.2%)

rewrite29.0ms (1.2%)

simplify23.0ms (0.9%)

prune14.0ms (0.6%)

localize6.0ms (0.2%)

series8.0ms (0.3%)

rewrite41.0ms (1.6%)

simplify36.0ms (1.4%)

prune51.0ms (2%)

regimes21.0ms (0.8%)

simplify2.0ms (0.1%)

end39.0ms (1.6%)

Profiling