Details

analyze243.0ms (2.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
75%	74.9%	25%	0.1%	0%	0%	0%	4
75%	74.9%	25%	0.1%	0%	0%	0%	5
80%	74.9%	18.7%	0.1%	6.2%	0%	0%	6
80%	74.9%	18.7%	0.1%	6.2%	0%	0%	7
82.8%	74.9%	15.6%	0.1%	9.4%	0%	0%	8
82.8%	74.9%	15.6%	0.1%	9.4%	0%	0%	9
84.2%	74.9%	14%	0.1%	10.9%	0%	0%	10
84.2%	74.9%	14%	0.1%	10.9%	0%	0%	11
85%	74.9%	13.3%	0.1%	11.7%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample3.4s (37.1%)

Results

1.3s	6119×	body	256	valid
1.1s	1423×	body	1024	valid
484.0ms	711×	body	1024	infinite
306.0ms	708×	body	512	valid
132.0ms	442×	body	256	infinite
119.0ms	326×	body	512	infinite
8.0ms	6×	body	2048	valid

Bogosity

preprocess9.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	13	30
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 9 to 7 computations (22.2% saved)

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	9	15

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))

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

100.0%

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))

Compiler

Compiled 13 to 5 computations (61.5% saved)

series10.0ms (0.1%)

Counts

1 → 8

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	im	@	-inf	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	re	@	inf	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	im	@	0	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	im	@	inf	(*.f64 (exp.f64 re) (cos.f64 im))
1.0ms	re	@	-inf	(*.f64 (exp.f64 re) (cos.f64 im))

rewrite91.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1418×	`add-sqr-sqrt`
1408×	`*-un-lft-identity`
1294×	`add-cube-cbrt`
1274×	`add-cbrt-cube`
1258×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	152	15
2	1762	15

Stop Event

1×	node limit

Counts

1 → 12

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

simplify130.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1626×	`fma-def`
874×	`*-commutative`
798×	`associate--l+`
706×	`associate-r`
628×	`distribute-lft-out`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	68	620
1	177	544
2	544	456
3	2211	416
4	4744	408
5	6545	408

Stop Event

1×	node limit

Counts

20 → 44

Calls

Call 1

Inputs
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(exp.f64 re)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (exp.f64 re)))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (+.f64 (exp.f64 re) (.f64 -1/720 (.f64 (exp.f64 re) (pow.f64 im 6))))))
(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))) 1)
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 1)
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) 2)
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) 3)
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 2))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(exp.f64 (*.f64 (+.f64 re (log.f64 (cos.f64 im))) 1))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

Outputs
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 re 1))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))
(.f64 (cos.f64 im) (+.f64 1 (fma.f64 1/2 (.f64 re re) re)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(fma.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)) (fma.f64 1/2 (.f64 (cos.f64 im) (*.f64 re re)) (fma.f64 (cos.f64 im) re (cos.f64 im))))
(fma.f64 (cos.f64 im) (.f64 re (.f64 re 1/2)) (.f64 (cos.f64 im) (+.f64 (.f64 1/6 (pow.f64 re 3)) (+.f64 re 1))))
(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
(.f64 (cos.f64 im) (+.f64 (fma.f64 1/2 (.f64 re re) re) (fma.f64 1/6 (pow.f64 re 3) 1)))
(exp.f64 re)
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (exp.f64 re))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (exp.f64 re))
(.f64 (+.f64 (.f64 -1/2 (*.f64 im im)) 1) (exp.f64 re))
(.f64 (exp.f64 re) (fma.f64 im (.f64 im -1/2) 1))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.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)) (fma.f64 1/24 (*.f64 (exp.f64 re) (pow.f64 im 4)) (exp.f64 re)))
(+.f64 (exp.f64 re) (.f64 (exp.f64 re) (+.f64 (.f64 -1/2 (.f64 im im)) (.f64 1/24 (pow.f64 im 4)))))
(fma.f64 (exp.f64 re) (fma.f64 im (.f64 im -1/2) (.f64 1/24 (pow.f64 im 4))) (exp.f64 re))
(+.f64 (.f64 -1/2 (.f64 (exp.f64 re) (pow.f64 im 2))) (+.f64 (.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4))) (+.f64 (exp.f64 re) (.f64 -1/720 (.f64 (exp.f64 re) (pow.f64 im 6))))))
(fma.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)) (.f64 -1/720 (*.f64 (exp.f64 re) (pow.f64 im 6)))))
(fma.f64 -1/2 (.f64 (exp.f64 re) (.f64 im im)) (fma.f64 1/24 (.f64 (exp.f64 re) (pow.f64 im 4)) (fma.f64 -1/720 (.f64 (exp.f64 re) (pow.f64 im 6)) (exp.f64 re))))
(+.f64 (fma.f64 (exp.f64 re) (.f64 -1/720 (pow.f64 im 6)) (exp.f64 re)) (.f64 (exp.f64 re) (+.f64 (.f64 -1/2 (.f64 im im)) (*.f64 1/24 (pow.f64 im 4)))))
(fma.f64 (exp.f64 re) (fma.f64 im (.f64 im -1/2) (.f64 1/24 (pow.f64 im 4))) (*.f64 (exp.f64 re) (fma.f64 -1/720 (pow.f64 im 6) 1)))
(.f64 (exp.f64 re) (+.f64 (fma.f64 im (.f64 im -1/2) 1) (fma.f64 -1/720 (pow.f64 im 6) (*.f64 1/24 (pow.f64 im 4)))))
(.f64 (exp.f64 re) (+.f64 (fma.f64 -1/720 (pow.f64 im 6) (.f64 1/24 (pow.f64 im 4))) (fma.f64 im (*.f64 im -1/2) 1)))
(-.f64 (+.f64 1 (*.f64 (exp.f64 re) (cos.f64 im))) 1)
(+.f64 (+.f64 1 (*.f64 (cos.f64 im) (exp.f64 re))) -1)
(+.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 1)
(+.f64 (+.f64 1 (*.f64 (cos.f64 im) (exp.f64 re))) -1)
(+.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) 2)
(+.f64 (+.f64 1 (*.f64 (cos.f64 im) (exp.f64 re))) -1)
(+.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 re) (cos.f64 im))) 3)
(+.f64 (+.f64 1 (*.f64 (cos.f64 im) (exp.f64 re))) -1)
(+.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(*.f64 (cos.f64 im) (exp.f64 re))
(pow.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 (cos.f64 im) (exp.f64 re))) -1)
(+.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(*.f64 (cos.f64 im) (exp.f64 re))
(sqrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 2))
(+.f64 (+.f64 1 (*.f64 (cos.f64 im) (exp.f64 re))) -1)
(+.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(*.f64 (cos.f64 im) (exp.f64 re))
(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))
(+.f64 (+.f64 1 (*.f64 (cos.f64 im) (exp.f64 re))) -1)
(+.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(*.f64 (cos.f64 im) (exp.f64 re))
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
(+.f64 (+.f64 1 (*.f64 (cos.f64 im) (exp.f64 re))) -1)
(+.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(*.f64 (cos.f64 im) (exp.f64 re))
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(+.f64 (+.f64 1 (*.f64 (cos.f64 im) (exp.f64 re))) -1)
(+.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
(+.f64 (+.f64 1 (*.f64 (cos.f64 im) (exp.f64 re))) -1)
(+.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(*.f64 (cos.f64 im) (exp.f64 re))
(exp.f64 (*.f64 (+.f64 re (log.f64 (cos.f64 im))) 1))
(+.f64 (+.f64 1 (*.f64 (cos.f64 im) (exp.f64 re))) -1)
(+.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(*.f64 (cos.f64 im) (exp.f64 re))
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 re) (cos.f64 im))))
(+.f64 (+.f64 1 (*.f64 (cos.f64 im) (exp.f64 re))) -1)
(+.f64 (*.f64 (cos.f64 im) (exp.f64 re)) 0)
(*.f64 (cos.f64 im) (exp.f64 re))

eval15.0ms (0.2%)

Compiler: Compiled 569 to 279 computations (51% saved)

prune72.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	39	5	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	6	45

Error

100.0%

Counts

45 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
▶	65.2%	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
▶	65.1%	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))
▶	65.1%	(*.f64 (cos.f64 im) (+.f64 re 1))
▶	71.2%	(exp.f64 re)
▶	65.0%	(cos.f64 im)

Compiler

Compiled 103 to 75 computations (27.2% saved)

localize5.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	99.9%	(*.f64 (cos.f64 im) (+.f64 re 1))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite108.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`add-sqr-sqrt`
1810×	`*-un-lft-identity`
1682×	`add-cube-cbrt`
1658×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	184	17
2	2292	17

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

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

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

Outputs

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

simplify91.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1458×	`associate-+r+`
1380×	`associate-+l+`
1198×	`associate-r`
1008×	`associate-l`
574×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1146
1	253	1114
2	851	1060
3	4158	1042

Stop Event

1×	node limit

Counts

48 → 59

Calls

Call 1

Inputs
(+.f64 1 re)
(+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2))))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 (.f64 -1/720 (.f64 (+.f64 1 re) (pow.f64 im 6))) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) re)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (cos.f64 im) re)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(+.f64 (.f64 (.f64 (cos.f64 im) re) 1) (cos.f64 im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re 1)))) 1)
(/.f64 (*.f64 (cos.f64 im) (fma.f64 re re -1)) (+.f64 re -1))
(/.f64 (*.f64 (cos.f64 im) (+.f64 1 (pow.f64 re 3))) (fma.f64 re re (-.f64 1 re)))
(/.f64 (*.f64 (fma.f64 re re -1) (cos.f64 im)) (+.f64 re -1))
(/.f64 (*.f64 (+.f64 1 (pow.f64 re 3)) (cos.f64 im)) (fma.f64 re re (-.f64 1 re)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 im) re) (.f64 (cos.f64 im) re)) (pow.f64 (cos.f64 im) 2)) (-.f64 (.f64 (cos.f64 im) re) (cos.f64 im)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) re) 3) (pow.f64 (cos.f64 im) 3)) (+.f64 (.f64 (.f64 (cos.f64 im) re) (.f64 (cos.f64 im) re)) (-.f64 (pow.f64 (cos.f64 im) 2) (.f64 (.f64 (cos.f64 im) re) (cos.f64 im)))))
(pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 re 1)) (cos.f64 im)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re 1)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re 1))))
(exp.f64 (+.f64 (log1p.f64 re) (log.f64 (cos.f64 im))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 re) (log.f64 (cos.f64 im))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re 1))))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))

Outputs
(+.f64 1 re)
(+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))
(+.f64 (+.f64 1 re) (.f64 -1/2 (.f64 (+.f64 1 re) (*.f64 im im))))
(+.f64 1 (fma.f64 -1/2 (.f64 (+.f64 1 re) (.f64 im im)) re))
(fma.f64 (*.f64 im im) (fma.f64 re -1/2 -1/2) (+.f64 1 re))
(+.f64 re (fma.f64 (*.f64 im im) (fma.f64 re -1/2 -1/2) 1))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2))))))
(fma.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4)) (+.f64 (+.f64 1 re) (.f64 -1/2 (.f64 (+.f64 1 re) (.f64 im im)))))
(+.f64 (fma.f64 -1/2 (.f64 (+.f64 1 re) (.f64 im im)) re) (fma.f64 1/24 (*.f64 (+.f64 1 re) (pow.f64 im 4)) 1))
(+.f64 (fma.f64 (*.f64 im im) (fma.f64 re -1/2 -1/2) re) (fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) 1))
(.f64 (+.f64 1 re) (+.f64 (.f64 -1/2 (.f64 im im)) (+.f64 1 (.f64 1/24 (pow.f64 im 4)))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4))) (+.f64 (.f64 -1/720 (.f64 (+.f64 1 re) (pow.f64 im 6))) (+.f64 1 (+.f64 re (.f64 -1/2 (.f64 (+.f64 1 re) (pow.f64 im 2)))))))
(fma.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4)) (fma.f64 -1/720 (.f64 (+.f64 1 re) (pow.f64 im 6)) (+.f64 (+.f64 1 re) (.f64 -1/2 (.f64 (+.f64 1 re) (*.f64 im im))))))
(fma.f64 1/24 (.f64 (+.f64 1 re) (pow.f64 im 4)) (+.f64 (fma.f64 -1/2 (.f64 (+.f64 1 re) (.f64 im im)) re) (fma.f64 -1/720 (.f64 (+.f64 1 re) (pow.f64 im 6)) 1)))
(+.f64 (fma.f64 (pow.f64 im 4) (fma.f64 re 1/24 1/24) 1) (fma.f64 (pow.f64 im 6) (fma.f64 re -1/720 -1/720) (fma.f64 (*.f64 im im) (fma.f64 re -1/2 -1/2) re)))
(fma.f64 (pow.f64 im 6) (fma.f64 re -1/720 -1/720) (.f64 (+.f64 1 re) (+.f64 (.f64 -1/2 (.f64 im im)) (+.f64 1 (.f64 1/24 (pow.f64 im 4))))))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (cos.f64 im) (+.f64 1 re))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (cos.f64 im) re)
(*.f64 re (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(*.f64 (cos.f64 im) re)
(*.f64 re (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (cos.f64 im) (*.f64 (cos.f64 im) re))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(+.f64 (.f64 (.f64 (cos.f64 im) re) 1) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re 1)))) 1)
(*.f64 (+.f64 1 re) (cos.f64 im))
(/.f64 (*.f64 (cos.f64 im) (fma.f64 re re -1)) (+.f64 re -1))
(/.f64 (cos.f64 im) (/.f64 (+.f64 re -1) (fma.f64 re re -1)))
(*.f64 (cos.f64 im) (/.f64 (fma.f64 re re -1) (+.f64 re -1)))
(/.f64 (*.f64 (cos.f64 im) (+.f64 1 (pow.f64 re 3))) (fma.f64 re re (-.f64 1 re)))
(/.f64 (cos.f64 im) (/.f64 (fma.f64 re re (-.f64 1 re)) (+.f64 1 (pow.f64 re 3))))
(*.f64 (/.f64 (cos.f64 im) (fma.f64 re re (-.f64 1 re))) (+.f64 1 (pow.f64 re 3)))
(*.f64 (cos.f64 im) (/.f64 (+.f64 1 (pow.f64 re 3)) (-.f64 (fma.f64 re re 1) re)))
(/.f64 (*.f64 (fma.f64 re re -1) (cos.f64 im)) (+.f64 re -1))
(/.f64 (cos.f64 im) (/.f64 (+.f64 re -1) (fma.f64 re re -1)))
(*.f64 (cos.f64 im) (/.f64 (fma.f64 re re -1) (+.f64 re -1)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 re 3)) (cos.f64 im)) (fma.f64 re re (-.f64 1 re)))
(/.f64 (cos.f64 im) (/.f64 (fma.f64 re re (-.f64 1 re)) (+.f64 1 (pow.f64 re 3))))
(*.f64 (/.f64 (cos.f64 im) (fma.f64 re re (-.f64 1 re))) (+.f64 1 (pow.f64 re 3)))
(*.f64 (cos.f64 im) (/.f64 (+.f64 1 (pow.f64 re 3)) (-.f64 (fma.f64 re re 1) re)))
(/.f64 (-.f64 (.f64 (.f64 (cos.f64 im) re) (.f64 (cos.f64 im) re)) (pow.f64 (cos.f64 im) 2)) (-.f64 (.f64 (cos.f64 im) re) (cos.f64 im)))
(/.f64 (-.f64 (.f64 (pow.f64 (cos.f64 im) 2) (.f64 re re)) (pow.f64 (cos.f64 im) 2)) (-.f64 (*.f64 re (cos.f64 im)) (cos.f64 im)))
(/.f64 (.f64 (cos.f64 im) (-.f64 (.f64 re (*.f64 re (cos.f64 im))) (cos.f64 im))) (fma.f64 re (cos.f64 im) (neg.f64 (cos.f64 im))))
(/.f64 (.f64 (pow.f64 (cos.f64 im) 2) (fma.f64 re re -1)) (.f64 (cos.f64 im) (+.f64 re -1)))
(/.f64 (pow.f64 (cos.f64 im) 2) (/.f64 (*.f64 (cos.f64 im) (+.f64 re -1)) (fma.f64 re re -1)))
(/.f64 (+.f64 (pow.f64 (.f64 (cos.f64 im) re) 3) (pow.f64 (cos.f64 im) 3)) (+.f64 (.f64 (.f64 (cos.f64 im) re) (.f64 (cos.f64 im) re)) (-.f64 (pow.f64 (cos.f64 im) 2) (.f64 (.f64 (cos.f64 im) re) (cos.f64 im)))))
(/.f64 (+.f64 (pow.f64 (.f64 re (cos.f64 im)) 3) (pow.f64 (cos.f64 im) 3)) (+.f64 (.f64 (pow.f64 (cos.f64 im) 2) (.f64 re re)) (-.f64 (pow.f64 (cos.f64 im) 2) (.f64 (cos.f64 im) (*.f64 re (cos.f64 im))))))
(/.f64 (+.f64 (pow.f64 (.f64 re (cos.f64 im)) 3) (pow.f64 (cos.f64 im) 3)) (fma.f64 (pow.f64 (cos.f64 im) 2) (.f64 re re) (.f64 (cos.f64 im) (-.f64 (cos.f64 im) (.f64 re (cos.f64 im))))))
(/.f64 (.f64 (+.f64 1 (pow.f64 re 3)) (pow.f64 (cos.f64 im) 3)) (+.f64 (pow.f64 (cos.f64 im) 2) (.f64 (*.f64 re (pow.f64 (cos.f64 im) 2)) (+.f64 re -1))))
(/.f64 (+.f64 1 (pow.f64 re 3)) (/.f64 (*.f64 (pow.f64 (cos.f64 im) 2) (-.f64 (fma.f64 re re 1) re)) (pow.f64 (cos.f64 im) 3)))
(pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1)
(*.f64 (+.f64 1 re) (cos.f64 im))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1))) 2)
(*.f64 (+.f64 1 re) (cos.f64 im))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 im) (+.f64 re 1))) 3)
(*.f64 (+.f64 1 re) (cos.f64 im))
(pow.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 3) 1/3)
(*.f64 (+.f64 1 re) (cos.f64 im))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 2))
(*.f64 (+.f64 1 re) (cos.f64 im))
(log.f64 (pow.f64 (exp.f64 (+.f64 re 1)) (cos.f64 im)))
(*.f64 (+.f64 1 re) (cos.f64 im))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re 1)))))
(*.f64 (+.f64 1 re) (cos.f64 im))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 3))
(*.f64 (+.f64 1 re) (cos.f64 im))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 im) (+.f64 re 1))))
(*.f64 (+.f64 1 re) (cos.f64 im))
(exp.f64 (+.f64 (log1p.f64 re) (log.f64 (cos.f64 im))))
(*.f64 (cos.f64 im) (exp.f64 (log1p.f64 re)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 re) (log.f64 (cos.f64 im))) 1))
(exp.f64 (+.f64 (log1p.f64 re) (log.f64 (cos.f64 im))))
(*.f64 (cos.f64 im) (exp.f64 (log1p.f64 re)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 im) (+.f64 re 1))))
(*.f64 (+.f64 1 re) (cos.f64 im))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(*.f64 (+.f64 1 re) (cos.f64 im))

localize27.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	100.0%	(+.f64 (+.f64 re 1) (.f64 re (.f64 re 1/2)))
✓	100.0%	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))

Compiler

Compiled 40 to 25 computations (37.5% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite179.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1398×	`associate-*r/`
1260×	`associate-*l/`
1224×	`distribute-lft-in`
440×	`associate-+l+`
288×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	279	52
2	3737	52

Stop Event

1×	node limit

Counts

2 → 184

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 im) (+.f64 (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) (*.f64 re (*.f64 re 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 im) (+.f64 (*.f64 re (cos.f64 im)) (*.f64 (cos.f64 im) (*.f64 re (*.f64 re 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 im) (*.f64 (cos.f64 im) (+.f64 re (*.f64 re (*.f64 re 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) (*.f64 (cos.f64 im) (*.f64 re (*.f64 re 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) (*.f64 re (*.f64 re 1/2))) (*.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) (+.f64 1 (*.f64 re (*.f64 re 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) re) (*.f64 (cos.f64 im) (*.f64 (+.f64 1 (*.f64 re (*.f64 re 1/2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 re 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(*.f64 (cos.f64 im) re)) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 im) (*.f64 re (*.f64 re 1/2))) (*.f64 re (cos.f64 im))) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (cos.f64 im) re)) (*.f64 1 (*.f64 (cos.f64 im) (+.f64 1 (*.f64 re (*.f64 re 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 re (cos.f64 im))) (*.f64 1 (*.f64 (+.f64 1 (*.f64 re (*.f64 re 1/2))) (cos.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 im) (+.f64 re (*.f64 re (*.f64 re 1/2)))) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (cos.f64 im) (+.f64 re 1)) 1)) (*.f64 1 (*.f64 (*.f64 (cos.f64 im) (*.f64 re (*.f64 re 1/2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 im) (fma.f64 re (*.f64 re 1/2) (+.f64 re 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 im) (/.f64 1 (fma.f64 re (*.f64 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simplify433.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1032×	`associate-+r+`
998×	`+-commutative`
960×	`associate-r`
794×	`associate-/l*`
770×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	490	13200
1	1414	12690
2	6919	12690

Stop Event

1×	node limit

Counts

220 → 281

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 (+.f64 (.f64 -1/2 (.f64 (+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 re)) (pow.f64 im 2))) re)))
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(/.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 re 1) 2) 3) (pow.f64 (pow.f64 (.f64 re (.f64 re 1/2)) 2) 3)) (/.f64 1 (-.f64 (+.f64 re 1) (.f64 re (.f64 re 1/2))))) (+.f64 (.f64 (pow.f64 (+.f64 re 1) 2) (pow.f64 (+.f64 re 1) 2)) (+.f64 (.f64 (pow.f64 (.f64 re (.f64 re 1/2)) 2) (pow.f64 (.f64 re (.f64 re 1/2)) 2)) (.f64 (pow.f64 (+.f64 re 1) 2) (pow.f64 (.f64 re (.f64 re 1/2)) 2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (+.f64 re 1) 3) (pow.f64 (+.f64 re 1) 3)) (.f64 (pow.f64 (.f64 re (.f64 re 1/2)) 3) (pow.f64 (.f64 re (.f64 re 1/2)) 3))) (/.f64 1 (+.f64 (pow.f64 (+.f64 re 1) 2) (.f64 (.f64 re (.f64 re 1/2)) (-.f64 (.f64 re (.f64 re 1/2)) (+.f64 re 1)))))) (-.f64 (pow.f64 (+.f64 re 1) 3) (pow.f64 (.f64 re (.f64 re 1/2)) 3)))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 re 1) 3) 3) (pow.f64 (pow.f64 (.f64 re (.f64 re 1/2)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 re 1) 2) (.f64 (.f64 re (.f64 re 1/2)) (-.f64 (.f64 re (.f64 re 1/2)) (+.f64 re 1)))))) (+.f64 (.f64 (pow.f64 (+.f64 re 1) 3) (pow.f64 (+.f64 re 1) 3)) (-.f64 (.f64 (pow.f64 (.f64 re (.f64 re 1/2)) 3) (pow.f64 (.f64 re (.f64 re 1/2)) 3)) (.f64 (pow.f64 (+.f64 re 1) 3) (pow.f64 (.f64 re (*.f64 re 1/2)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 re 1) 2) (pow.f64 (.f64 re (.f64 re 1/2)) 2)) 1) (-.f64 (+.f64 re 1) (.f64 re (.f64 re 1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 re 1) 2) (pow.f64 (.f64 re (.f64 re 1/2)) 2)) (sqrt.f64 (-.f64 (+.f64 re 1) (.f64 re (.f64 re 1/2))))) (sqrt.f64 (-.f64 (+.f64 re 1) (.f64 re (.f64 re 1/2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 re 1) 2) (pow.f64 (.f64 re (.f64 re 1/2)) 2)) (.f64 (cbrt.f64 (-.f64 (+.f64 re 1) (.f64 re (.f64 re 1/2)))) (cbrt.f64 (-.f64 (+.f64 re 1) (.f64 re (.f64 re 1/2)))))) (cbrt.f64 (-.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 re 1) 2) (pow.f64 (.f64 re (.f64 re 1/2)) 2)) (+.f64 (.f64 re (sqrt.f64 1/2)) (sqrt.f64 (+.f64 re 1)))) (-.f64 (sqrt.f64 (+.f64 re 1)) (.f64 re (sqrt.f64 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 re 1) 3) (pow.f64 (.f64 re (.f64 re 1/2)) 3)) 1) (+.f64 (pow.f64 (+.f64 re 1) 2) (.f64 (.f64 re (.f64 re 1/2)) (-.f64 (.f64 re (*.f64 re 1/2)) (+.f64 re 1)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 re 1) 3) (pow.f64 (.f64 re (.f64 re 1/2)) 3)) (sqrt.f64 (+.f64 (pow.f64 (+.f64 re 1) 2) (.f64 (.f64 re (.f64 re 1/2)) (-.f64 (.f64 re (.f64 re 1/2)) (+.f64 re 1)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 re 1) 2) (.f64 (.f64 re (.f64 re 1/2)) (-.f64 (.f64 re (.f64 re 1/2)) (+.f64 re 1))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 re 1) 3) (pow.f64 (.f64 re (.f64 re 1/2)) 3)) (.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 re 1) 2) (.f64 (.f64 re (.f64 re 1/2)) (-.f64 (.f64 re (.f64 re 1/2)) (+.f64 re 1))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 re 1) 2) (.f64 (.f64 re (.f64 re 1/2)) (-.f64 (.f64 re (.f64 re 1/2)) (+.f64 re 1))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 re 1) 2) (.f64 (.f64 re (.f64 re 1/2)) (-.f64 (.f64 re (.f64 re 1/2)) (+.f64 re 1))))))
(pow.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)) 1)
(pow.f64 (sqrt.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1))) 2)
(pow.f64 (cbrt.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1))) 3)
(pow.f64 (pow.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)) 2))
(log.f64 (exp.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)))))
(cbrt.f64 (pow.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1))))
(exp.f64 (log.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1))))
(exp.f64 (.f64 (log.f64 (fma.f64 re (.f64 re 1/2) (+.f64 re 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 re (*.f64 re 1/2) (+.f64 re 1))))
(fma.f64 re (*.f64 re 1/2) (+.f64 re 1))
(fma.f64 1 re (+.f64 1 (.f64 re (.f64 re 1/2))))
(fma.f64 1 (+.f64 re 1) (.f64 re (.f64 re 1/2)))
(fma.f64 1 (.f64 re (.f64 re 1/2)) (+.f64 re 1))
(fma.f64 (*.f64 re 1/2) re (+.f64 re 1))
(fma.f64 (.f64 re (sqrt.f64 1/2)) (.f64 re (sqrt.f64 1/2)) (+.f64 re 1))
(fma.f64 (sqrt.f64 (+.f64 re 1)) (sqrt.f64 (+.f64 re 1)) (.f64 re (.f64 re 1/2)))
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (+.f64 1 (.f64 re (.f64 re 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 re (.f64 re 1/2))) 2) (cbrt.f64 (.f64 re (.f64 re 1/2))) (+.f64 re 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 re 1)) 2) (cbrt.f64 (+.f64 re 1)) (.f64 re (.f64 re 1/2)))
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (+.f64 1 (.f64 re (.f64 re 1/2))))
(fma.f64 (*.f64 re re) 1/2 (+.f64 re 1))

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

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	100.0%	(+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (*.f64 re 1/6) 1/2)))
✓	100.0%	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
✓	99.9%	(.f64 (.f64 re re) (+.f64 (*.f64 re 1/6) 1/2))
✓	99.5%	(*.f64 re 1/6)

Compiler

Compiled 61 to 37 computations (39.3% saved)

series8.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	re	@	inf	(.f64 (.f64 re re) (+.f64 (*.f64 re 1/6) 1/2))
1.0ms	im	@	inf	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
1.0ms	im	@	0	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
0.0ms	im	@	-inf	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
0.0ms	re	@	0	(.f64 (.f64 re re) (+.f64 (*.f64 re 1/6) 1/2))

rewrite308.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`associate-+l+`
458×	`associate-/r*`
372×	`add-sqr-sqrt`
358×	`pow1`
358×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	104
1	359	96
2	4964	96

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 re 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 re 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 re 1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 re 1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/216 (pow.f64 re 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 re re) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) re))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 re 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 1/216 (pow.f64 re 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 re 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 re 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 re 1/6)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 re 1/6)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/6 (pow.f64 re 3)) (.f64 (.f64 re re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 re re) 1/2) (.f64 1/6 (pow.f64 re 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 1/6 (pow.f64 re 3))) (-.f64 (.f64 (.f64 re re) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/6 (pow.f64 re 3)) 1) (.f64 (.f64 (.f64 re re) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 re re) 1/2) 1) (.f64 (.f64 1/6 (pow.f64 re 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 re re) (/.f64 1 (fma.f64 re 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 re re) 1/36) -1/4) (/.f64 (fma.f64 re 1/6 -1/2) (.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (.f64 1/216 (pow.f64 re 3))) (/.f64 (+.f64 1/4 (.f64 (.f64 re 1/6) (fma.f64 re 1/6 -1/2))) (.f64 re re)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 re re) (+.f64 (.f64 (.f64 re re) 1/36) -1/4)) (fma.f64 re 1/6 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 re re) (+.f64 1/8 (.f64 1/216 (pow.f64 re 3)))) (+.f64 1/4 (.f64 (.f64 re 1/6) (fma.f64 re 1/6 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 (.f64 re re) 1/36) -1/4) (.f64 re re)) (fma.f64 re 1/6 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 1/8 (.f64 1/216 (pow.f64 re 3))) (.f64 re re)) (+.f64 1/4 (.f64 (.f64 re 1/6) (fma.f64 re 1/6 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 1/6 (pow.f64 re 3)) (.f64 1/6 (pow.f64 re 3))) (.f64 (.f64 (.f64 re re) 1/2) (.f64 (.f64 re 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((x /.f64 (/.f64 (.f64 (+.f64 (.f64 (.f64 re re) 1/36) -1/4) (.f64 re re)) (.f64 (cbrt.f64 (fma.f64 re 1/6 -1/2)) (cbrt.f64 (fma.f64 re 1/6 -1/2)))) (cbrt.f64 (fma.f64 re 1/6 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 1/8 (.f64 1/216 (pow.f64 re 3))) (.f64 re re)) 1) (+.f64 1/4 (.f64 (.f64 re 1/6) (fma.f64 re 1/6 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 1/8 (.f64 1/216 (pow.f64 re 3))) (.f64 re re)) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 re 1/6) (fma.f64 re 1/6 -1/2))))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 re 1/6) (fma.f64 re 1/6 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (+.f64 1/8 (.f64 1/216 (pow.f64 re 3))) (.f64 re re)) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (.f64 re 1/6) (fma.f64 re 1/6 -1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 re 1/6) (fma.f64 re 1/6 -1/2)))))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 re 1/6) (fma.f64 re 1/6 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 re (.f64 re 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(#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 re 1/6) (.f64 re re) (.f64 (.f64 re re) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 re re) (.f64 re 1/6) (.f64 (*.f64 re re) 1/2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 im) (+.f64 (.f64 (cos.f64 im) re) (.f64 re (.f64 (.f64 re (fma.f64 re 1/6 1/2)) (cos.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 im) (+.f64 (.f64 re (cos.f64 im)) (.f64 re (.f64 (.f64 re (fma.f64 re 1/6 1/2)) (cos.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) (+.f64 re 1)) (.f64 re (.f64 (.f64 re (fma.f64 re 1/6 1/2)) (cos.f64 im))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 re (.f64 (.f64 re (fma.f64 re 1/6 1/2)) (cos.f64 im))) (.f64 (cos.f64 im) (+.f64 re 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) re) (.f64 (cos.f64 im) (+.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) re) (+.f64 (cos.f64 im) (.f64 re (.f64 (.f64 re (fma.f64 re 1/6 1/2)) (cos.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) (+.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) 1)) (.f64 (cos.f64 im) re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (cos.f64 im) (.f64 1/6 (pow.f64 re 3))) (+.f64 (.f64 (cos.f64 im) (.f64 (.f64 re re) 1/2)) (.f64 (cos.f64 im) (+.f64 re 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 re (cos.f64 im)) (.f64 (+.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) 1) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 re (cos.f64 im)) (+.f64 (cos.f64 im) (.f64 re (.f64 (.f64 re (fma.f64 re 1/6 1/2)) (cos.f64 im)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) 1) (cos.f64 im)) (.f64 re (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (cos.f64 im) (+.f64 re 1)) 1) (.f64 (.f64 re (.f64 (.f64 re (fma.f64 re 1/6 1/2)) (cos.f64 im))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 re (.f64 (.f64 re (fma.f64 re 1/6 1/2)) (cos.f64 im))) 1) (.f64 (.f64 (cos.f64 im) (+.f64 re 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/6 (pow.f64 re 3)) (cos.f64 im)) (+.f64 (.f64 (.f64 (.f64 re re) 1/2) (cos.f64 im)) (.f64 (cos.f64 im) (+.f64 re 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (cos.f64 im) (+.f64 re 1)) (.f64 (cos.f64 im) (.f64 1/6 (pow.f64 re 3)))) (.f64 (cos.f64 im) (.f64 (.f64 re re) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 (cos.f64 im) (+.f64 re 1)) (.f64 (.f64 1/6 (pow.f64 re 3)) (cos.f64 im))) (.f64 (.f64 (.f64 re re) 1/2) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 re (.f64 (.f64 re (fma.f64 re 1/6 1/2)) (cos.f64 im))) (cos.f64 im)) (.f64 (cos.f64 im) re))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 re (.f64 (.f64 re (fma.f64 re 1/6 1/2)) (cos.f64 im))) (cos.f64 im)) (.f64 re (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 re (.f64 (.f64 re (fma.f64 re 1/6 1/2)) (cos.f64 im))) (.f64 (cos.f64 im) re)) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 re (.f64 (.f64 re (fma.f64 re 1/6 1/2)) (cos.f64 im))) (.f64 re (cos.f64 im))) (cos.f64 im))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (cos.f64 im) (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 im) (/.f64 1 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 re 1) 2) (.f64 (pow.f64 re 4) (pow.f64 (fma.f64 re 1/6 1/2) 2))) (/.f64 (-.f64 (+.f64 re 1) (.f64 re (.f64 re (fma.f64 re 1/6 1/2)))) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 re 1) 3) (pow.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) 3)) (/.f64 (+.f64 (.f64 (pow.f64 re 4) (pow.f64 (fma.f64 re 1/6 1/2) 2)) (.f64 (+.f64 re 1) (-.f64 (+.f64 re 1) (.f64 re (.f64 re (fma.f64 re 1/6 1/2)))))) (cos.f64 im)))))) (#(struct:change #<rule egg-rr> 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simplify361.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

950×	`associate-r`
892×	`fma-def`
850×	`associate-l`
576×	`associate-/l*`
524×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	529	13697
1	1595	12665

Stop Event

1×	node limit

Counts

247 → 303

Calls

Call 1

Inputs
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/2 (pow.f64 re 2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(*.f64 1/6 (pow.f64 re 3))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(*.f64 1/6 (pow.f64 re 3))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2))))
(+.f64 (.f64 -1/2 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 2))) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 4))) (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 2))) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2))))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 4))) (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 2))) (+.f64 (.f64 -1/720 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 6))) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(cos.f64 im)
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1
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(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 re 1) 2) (.f64 (pow.f64 re 4) (pow.f64 (fma.f64 re 1/6 1/2) 2))) (+.f64 (.f64 re (sqrt.f64 (fma.f64 re 1/6 1/2))) (sqrt.f64 (+.f64 re 1)))) (-.f64 (sqrt.f64 (+.f64 re 1)) (*.f64 re (sqrt.f64 (fma.f64 re 1/6 1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 re 1) 3) (pow.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) 3)) 1) (+.f64 (.f64 (pow.f64 re 4) (pow.f64 (fma.f64 re 1/6 1/2) 2)) (.f64 (+.f64 re 1) (-.f64 (+.f64 re 1) (.f64 re (.f64 re (fma.f64 re 1/6 1/2)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 re 1) 3) (pow.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 re 4) (pow.f64 (fma.f64 re 1/6 1/2) 2)) (.f64 (+.f64 re 1) (-.f64 (+.f64 re 1) (.f64 re (.f64 re (fma.f64 re 1/6 1/2)))))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 re 4) (pow.f64 (fma.f64 re 1/6 1/2) 2)) (.f64 (+.f64 re 1) (-.f64 (+.f64 re 1) (.f64 re (.f64 re (fma.f64 re 1/6 1/2))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 re 1) 3) (pow.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 re 4) (pow.f64 (fma.f64 re 1/6 1/2) 2)) (.f64 (+.f64 re 1) (-.f64 (+.f64 re 1) (.f64 re (.f64 re (fma.f64 re 1/6 1/2))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 re 4) (pow.f64 (fma.f64 re 1/6 1/2) 2)) (.f64 (+.f64 re 1) (-.f64 (+.f64 re 1) (.f64 re (.f64 re (fma.f64 re 1/6 1/2))))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 re 4) (pow.f64 (fma.f64 re 1/6 1/2) 2)) (.f64 (+.f64 re 1) (-.f64 (+.f64 re 1) (.f64 re (*.f64 re (fma.f64 re 1/6 1/2))))))))
(pow.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1)) 1)
(pow.f64 (sqrt.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1))) 2)
(pow.f64 (cbrt.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1))) 3)
(pow.f64 (pow.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1)) 2))
(log.f64 (exp.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1)))))
(cbrt.f64 (pow.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1)) 3))
(expm1.f64 (log1p.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1))))
(exp.f64 (log.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1))))
(exp.f64 (.f64 (log.f64 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1))) 1))
(log1p.f64 (expm1.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1))))
(fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1))
(fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) (+.f64 re 1))
(fma.f64 (fma.f64 re 1/6 1/2) (*.f64 re re) (+.f64 re 1))
(fma.f64 1 re (+.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) 1))
(fma.f64 1 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) (+.f64 re 1))
(fma.f64 1 (+.f64 re 1) (.f64 re (.f64 re (fma.f64 re 1/6 1/2))))
(fma.f64 (.f64 re (sqrt.f64 (fma.f64 re 1/6 1/2))) (.f64 re (sqrt.f64 (fma.f64 re 1/6 1/2))) (+.f64 re 1))
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (+.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) 1))
(fma.f64 (sqrt.f64 (+.f64 re 1)) (sqrt.f64 (+.f64 re 1)) (.f64 re (.f64 re (fma.f64 re 1/6 1/2))))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2)))) 2) (cbrt.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2)))) (+.f64 re 1))
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (+.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 re 1)) 2) (cbrt.f64 (+.f64 re 1)) (.f64 re (.f64 re (fma.f64 re 1/6 1/2))))

Outputs
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/6 re)
(*.f64 1/2 (pow.f64 re 2))
(.f64 re (.f64 re 1/2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/6 (pow.f64 re 3) (.f64 re (.f64 re 1/2)))
(.f64 (.f64 re re) (fma.f64 1/6 re 1/2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/6 (pow.f64 re 3) (.f64 re (.f64 re 1/2)))
(.f64 (.f64 re re) (fma.f64 1/6 re 1/2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/6 (pow.f64 re 3) (.f64 re (.f64 re 1/2)))
(.f64 (.f64 re re) (fma.f64 1/6 re 1/2))
(*.f64 1/6 (pow.f64 re 3))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/6 (pow.f64 re 3) (.f64 re (.f64 re 1/2)))
(.f64 (.f64 re re) (fma.f64 1/6 re 1/2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/6 (pow.f64 re 3) (.f64 re (.f64 re 1/2)))
(.f64 (.f64 re re) (fma.f64 1/6 re 1/2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/6 (pow.f64 re 3) (.f64 re (.f64 re 1/2)))
(.f64 (.f64 re re) (fma.f64 1/6 re 1/2))
(*.f64 1/6 (pow.f64 re 3))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/6 (pow.f64 re 3) (.f64 re (.f64 re 1/2)))
(.f64 (.f64 re re) (fma.f64 1/6 re 1/2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/6 (pow.f64 re 3) (.f64 re (.f64 re 1/2)))
(.f64 (.f64 re re) (fma.f64 1/6 re 1/2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/6 (pow.f64 re 3) (.f64 re (.f64 re 1/2)))
(.f64 (.f64 re re) (fma.f64 1/6 re 1/2))
(+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2))))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(+.f64 (.f64 -1/2 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 2))) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))))
(fma.f64 -1/2 (.f64 (+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2))))) (.f64 im im)) (+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2))))))
(fma.f64 -1/2 (.f64 im (.f64 im (+.f64 re (fma.f64 (.f64 re re) (fma.f64 1/6 re 1/2) 1)))) (+.f64 re (fma.f64 (.f64 re re) (fma.f64 1/6 re 1/2) 1)))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 4))) (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 2))) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2))))))
(fma.f64 1/24 (.f64 (+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2))))) (pow.f64 im 4)) (fma.f64 -1/2 (.f64 (+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2))))) (.f64 im im)) (+.f64 1 (+.f64 re (.f64 re (*.f64 re (fma.f64 1/6 re 1/2)))))))
(fma.f64 1/24 (.f64 (pow.f64 im 4) (+.f64 re (fma.f64 (.f64 re re) (fma.f64 1/6 re 1/2) 1))) (fma.f64 -1/2 (.f64 im (.f64 im (+.f64 re (fma.f64 (.f64 re re) (fma.f64 1/6 re 1/2) 1)))) (+.f64 re (fma.f64 (.f64 re re) (fma.f64 1/6 re 1/2) 1))))
(+.f64 (.f64 1/24 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 4))) (+.f64 (.f64 -1/2 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 2))) (+.f64 (.f64 -1/720 (.f64 (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))) (pow.f64 im 6))) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (.f64 1/6 re) 1/2)))))))
(fma.f64 1/24 (.f64 (+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2))))) (pow.f64 im 4)) (fma.f64 -1/2 (.f64 (+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2))))) (.f64 im im)) (fma.f64 -1/720 (.f64 (+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2))))) (pow.f64 im 6)) (+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2))))))))
(fma.f64 1/24 (.f64 (pow.f64 im 4) (+.f64 re (fma.f64 (.f64 re re) (fma.f64 1/6 re 1/2) 1))) (fma.f64 -1/2 (.f64 im (.f64 im (+.f64 re (fma.f64 (.f64 re re) (fma.f64 1/6 re 1/2) 1)))) (+.f64 (.f64 re (fma.f64 re (fma.f64 1/6 re 1/2) 1)) (fma.f64 (.f64 -1/720 (+.f64 re (fma.f64 (.f64 re re) (fma.f64 1/6 re 1/2) 1))) (pow.f64 im 6) 1))))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (+.f64 1 (+.f64 re (.f64 re (*.f64 re (fma.f64 1/6 re 1/2))))) (cos.f64 im))
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 1/6 re 1/2) 1) (cos.f64 im)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (+.f64 1 (+.f64 re (.f64 re (*.f64 re (fma.f64 1/6 re 1/2))))) (cos.f64 im))
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 1/6 re 1/2) 1) (cos.f64 im)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (+.f64 1 (+.f64 re (.f64 re (*.f64 re (fma.f64 1/6 re 1/2))))) (cos.f64 im))
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 1/6 re 1/2) 1) (cos.f64 im)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (+.f64 1 (+.f64 re (.f64 re (*.f64 re (fma.f64 1/6 re 1/2))))) (cos.f64 im))
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 1/6 re 1/2) 1) (cos.f64 im)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (+.f64 1 (+.f64 re (.f64 re (*.f64 re (fma.f64 1/6 re 1/2))))) (cos.f64 im))
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 1/6 re 1/2) 1) (cos.f64 im)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (+.f64 1 (+.f64 re (.f64 re (*.f64 re (fma.f64 1/6 re 1/2))))) (cos.f64 im))
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 1/6 re 1/2) 1) (cos.f64 im)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (+.f64 1 (+.f64 re (.f64 re (*.f64 re (fma.f64 1/6 re 1/2))))) (cos.f64 im))
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 1/6 re 1/2) 1) (cos.f64 im)) (cos.f64 im))
(.f64 (cos.f64 im) (+.f64 1 (+.f64 re (.f64 (pow.f64 re 2) (+.f64 (*.f64 1/6 re) 1/2)))))
(.f64 (+.f64 1 (+.f64 re (.f64 re (*.f64 re (fma.f64 1/6 re 1/2))))) (cos.f64 im))
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 1/6 re 1/2) 1) (cos.f64 im)) (cos.f64 im))
(cos.f64 im)
(+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))
(fma.f64 (cos.f64 im) re (cos.f64 im))
(fma.f64 re (cos.f64 im) (cos.f64 im))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im)))
(fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (fma.f64 (cos.f64 im) re (cos.f64 im)))
(.f64 (cos.f64 im) (+.f64 re (fma.f64 re (.f64 re 1/2) 1)))
(+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(.f64 (+.f64 1 (+.f64 re (.f64 re (*.f64 re (fma.f64 1/6 re 1/2))))) (cos.f64 im))
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 1/6 re 1/2) 1) (cos.f64 im)) (cos.f64 im))
(.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)))
(.f64 1/6 (.f64 (pow.f64 re 3) (cos.f64 im)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))))
(fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (.f64 1/6 (.f64 (pow.f64 re 3) (cos.f64 im))))
(.f64 (.f64 re (*.f64 re (cos.f64 im))) (fma.f64 1/6 re 1/2))
(+.f64 (.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) re)))
(fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (fma.f64 1/6 (.f64 (pow.f64 re 3) (cos.f64 im)) (.f64 re (cos.f64 im))))
(.f64 re (.f64 (fma.f64 re (fma.f64 1/6 re 1/2) 1) (cos.f64 im)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(.f64 (+.f64 1 (+.f64 re (.f64 re (*.f64 re (fma.f64 1/6 re 1/2))))) (cos.f64 im))
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 1/6 re 1/2) 1) (cos.f64 im)) (cos.f64 im))
(.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3)))
(.f64 1/6 (.f64 (pow.f64 re 3) (cos.f64 im)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))))
(fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (.f64 1/6 (.f64 (pow.f64 re 3) (cos.f64 im))))
(.f64 (.f64 re (*.f64 re (cos.f64 im))) (fma.f64 1/6 re 1/2))
(+.f64 (.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) re)))
(fma.f64 1/2 (.f64 (cos.f64 im) (.f64 re re)) (fma.f64 1/6 (.f64 (pow.f64 re 3) (cos.f64 im)) (.f64 re (cos.f64 im))))
(.f64 re (.f64 (fma.f64 re (fma.f64 1/6 re 1/2) 1) (cos.f64 im)))
(+.f64 (.f64 1/2 (.f64 (cos.f64 im) (pow.f64 re 2))) (+.f64 (.f64 1/6 (.f64 (cos.f64 im) (pow.f64 re 3))) (+.f64 (*.f64 (cos.f64 im) re) (cos.f64 im))))
(.f64 (+.f64 1 (+.f64 re (.f64 re (*.f64 re (fma.f64 1/6 re 1/2))))) (cos.f64 im))
(fma.f64 re (*.f64 (fma.f64 re (fma.f64 1/6 re 1/2) 1) (cos.f64 im)) (cos.f64 im))
1
(+.f64 1 re)
(+.f64 re 1)
(+.f64 (*.f64 1/2 (pow.f64 re 2)) (+.f64 1 re))
(fma.f64 1/2 (*.f64 re re) (+.f64 re 1))
(+.f64 re (fma.f64 re (*.f64 re 1/2) 1))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 (.f64 1/6 (pow.f64 re 3)) (+.f64 1 re)))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(*.f64 1/6 (pow.f64 re 3))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/6 (pow.f64 re 3) (.f64 re (.f64 re 1/2)))
(.f64 (.f64 re re) (fma.f64 1/6 re 1/2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 (.f64 1/6 (pow.f64 re 3)) re))
(fma.f64 1/2 (*.f64 re re) (fma.f64 1/6 (pow.f64 re 3) re))
(*.f64 re (fma.f64 re (fma.f64 1/6 re 1/2) 1))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 re 3)) re)))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(*.f64 1/6 (pow.f64 re 3))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (.f64 1/6 (pow.f64 re 3)))
(fma.f64 1/6 (pow.f64 re 3) (.f64 re (.f64 re 1/2)))
(.f64 (.f64 re re) (fma.f64 1/6 re 1/2))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 (.f64 1/6 (pow.f64 re 3)) re))
(fma.f64 1/2 (*.f64 re re) (fma.f64 1/6 (pow.f64 re 3) re))
(*.f64 re (fma.f64 re (fma.f64 1/6 re 1/2) 1))
(+.f64 (.f64 1/2 (pow.f64 re 2)) (+.f64 1 (+.f64 (.f64 1/6 (pow.f64 re 3)) re)))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re 1/6))) 1)
(*.f64 1/6 re)
(pow.f64 (*.f64 re 1/6) 1)
(*.f64 1/6 re)
(pow.f64 (sqrt.f64 (*.f64 re 1/6)) 2)
(*.f64 1/6 re)
(pow.f64 (cbrt.f64 (*.f64 re 1/6)) 3)
(*.f64 1/6 re)
(pow.f64 (*.f64 1/216 (pow.f64 re 3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 re 3) 1/216))
(sqrt.f64 (.f64 (.f64 re re) 1/36))
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(sqrt.f64 (pow.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1)) 2))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) (+.f64 re 1)) 2))
(fabs.f64 (+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1)))
(log.f64 (exp.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1))))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1)))))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(cbrt.f64 (pow.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1)) 3))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(expm1.f64 (log1p.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1))))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(exp.f64 (log.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1))))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(exp.f64 (.f64 (log.f64 (fma.f64 re (.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1))) 1))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(log1p.f64 (expm1.f64 (fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1))))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(fma.f64 re (*.f64 re (fma.f64 re 1/6 1/2)) (+.f64 re 1))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(fma.f64 (*.f64 re re) (fma.f64 re 1/6 1/2) (+.f64 re 1))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(fma.f64 (fma.f64 re 1/6 1/2) (*.f64 re re) (+.f64 re 1))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(fma.f64 1 re (+.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) 1))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(fma.f64 1 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) (+.f64 re 1))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(fma.f64 1 (+.f64 re 1) (.f64 re (.f64 re (fma.f64 re 1/6 1/2))))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(fma.f64 (.f64 re (sqrt.f64 (fma.f64 re 1/6 1/2))) (.f64 re (sqrt.f64 (fma.f64 re 1/6 1/2))) (+.f64 re 1))
(+.f64 (pow.f64 (*.f64 re (sqrt.f64 (fma.f64 1/6 re 1/2))) 2) (+.f64 re 1))
(fma.f64 (sqrt.f64 re) (sqrt.f64 re) (+.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) 1))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(fma.f64 (sqrt.f64 (+.f64 re 1)) (sqrt.f64 (+.f64 re 1)) (.f64 re (.f64 re (fma.f64 re 1/6 1/2))))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2)))) 2) (cbrt.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2)))) (+.f64 re 1))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(fma.f64 (pow.f64 (cbrt.f64 re) 2) (cbrt.f64 re) (+.f64 (.f64 re (.f64 re (fma.f64 re 1/6 1/2))) 1))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 re 1)) 2) (cbrt.f64 (+.f64 re 1)) (.f64 re (.f64 re (fma.f64 re 1/6 1/2))))
(+.f64 1 (+.f64 re (.f64 re (.f64 re (fma.f64 1/6 re 1/2)))))
(+.f64 re (fma.f64 (*.f64 re re) (fma.f64 1/6 re 1/2) 1))

eval942.0ms (10.2%)

Compiler: Compiled 20158 to 13457 computations (33.2% saved)

prune664.0ms (7.2%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	641	2	643
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	641	8	649

Error

100.0%

Counts

649 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.9%	(+.f64 (+.f64 1 re) (.f64 -1/2 (.f64 (+.f64 1 re) (*.f64 im im))))
▶	36.9%	(+.f64 1 re)
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	65.2%	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
✓	65.1%	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))
✓	65.1%	(*.f64 (cos.f64 im) (+.f64 re 1))
✓	71.2%	(exp.f64 re)
✓	65.0%	(cos.f64 im)

Compiler

Compiled 75 to 55 computations (26.7% saved)

localize5.0ms (0.1%)

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

localize27.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	97.9%	(.f64 (+.f64 1 re) (.f64 im im))

Compiler

Compiled 41 to 23 computations (43.9% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite99.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`add-sqr-sqrt`
1588×	`*-un-lft-identity`
1480×	`add-cube-cbrt`
1462×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	163	19
2	2058	19

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify119.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1290×	`associate-r`
1120×	`associate-l`
688×	`associate--r+`
570×	`associate-*l/`
518×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	69	939
1	180	931
2	624	771
3	3666	771
4	6693	771

Stop Event

1×	node limit

Counts

45 → 39

Calls

Call 1

Inputs
(pow.f64 im 2)
(+.f64 (*.f64 re (pow.f64 im 2)) (pow.f64 im 2))
(+.f64 (*.f64 re (pow.f64 im 2)) (pow.f64 im 2))
(+.f64 (*.f64 re (pow.f64 im 2)) (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(+.f64 (*.f64 re (pow.f64 im 2)) (pow.f64 im 2))
(+.f64 (*.f64 re (pow.f64 im 2)) (pow.f64 im 2))
(+.f64 (*.f64 re (pow.f64 im 2)) (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(+.f64 (*.f64 re (pow.f64 im 2)) (pow.f64 im 2))
(+.f64 (*.f64 re (pow.f64 im 2)) (pow.f64 im 2))
(+.f64 (*.f64 re (pow.f64 im 2)) (pow.f64 im 2))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(+.f64 (.f64 im im) (.f64 (*.f64 im im) re))
(+.f64 (.f64 im im) (.f64 re (*.f64 im im)))
(+.f64 (.f64 (.f64 im im) re) (*.f64 im im))
(+.f64 (.f64 re (.f64 im im)) (*.f64 im im))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 1 re) (.f64 im im)))) 1)
(/.f64 (.f64 (.f64 im im) (-.f64 1 (*.f64 re re))) (-.f64 1 re))
(/.f64 (.f64 (.f64 im im) (+.f64 1 (pow.f64 re 3))) (+.f64 1 (-.f64 (*.f64 re re) re)))
(/.f64 (.f64 (-.f64 1 (.f64 re re)) (*.f64 im im)) (-.f64 1 re))
(/.f64 (.f64 (+.f64 1 (pow.f64 re 3)) (.f64 im im)) (+.f64 1 (-.f64 (*.f64 re re) re)))
(pow.f64 (.f64 (+.f64 1 re) (.f64 im im)) 1)
(pow.f64 (*.f64 im (sqrt.f64 (+.f64 1 re))) 2)
(pow.f64 (cbrt.f64 (.f64 (+.f64 1 re) (.f64 im im))) 3)
(pow.f64 (pow.f64 (.f64 (+.f64 1 re) (.f64 im im)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (+.f64 1 re) 2) (pow.f64 im 4)))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 re)) (*.f64 im im)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 1 re) (.f64 im im)))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 1 re) (.f64 im im)) 3))
(expm1.f64 (log1p.f64 (.f64 (+.f64 1 re) (.f64 im im))))
(exp.f64 (+.f64 (log1p.f64 re) (*.f64 2 (log.f64 im))))
(exp.f64 (.f64 (+.f64 (log1p.f64 re) (.f64 2 (log.f64 im))) 1))
(log1p.f64 (expm1.f64 (.f64 (+.f64 1 re) (.f64 im im))))

Outputs
(pow.f64 im 2)
(*.f64 im im)
(+.f64 (*.f64 re (pow.f64 im 2)) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(+.f64 (*.f64 re (pow.f64 im 2)) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(+.f64 (*.f64 re (pow.f64 im 2)) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 im re))
(+.f64 (*.f64 re (pow.f64 im 2)) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(+.f64 (*.f64 re (pow.f64 im 2)) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(+.f64 (*.f64 re (pow.f64 im 2)) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 im re))
(+.f64 (*.f64 re (pow.f64 im 2)) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(+.f64 (*.f64 re (pow.f64 im 2)) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(+.f64 (*.f64 re (pow.f64 im 2)) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(*.f64 (+.f64 1 re) (pow.f64 im 2))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(+.f64 (.f64 im im) (.f64 (*.f64 im im) re))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(+.f64 (.f64 im im) (.f64 re (*.f64 im im)))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(+.f64 (.f64 (.f64 im im) re) (*.f64 im im))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(+.f64 (.f64 re (.f64 im im)) (*.f64 im im))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 1 re) (.f64 im im)))) 1)
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(/.f64 (.f64 (.f64 im im) (-.f64 1 (*.f64 re re))) (-.f64 1 re))
(/.f64 (.f64 im im) (/.f64 (-.f64 1 re) (-.f64 1 (.f64 re re))))
(.f64 (/.f64 (.f64 im im) (-.f64 1 re)) (-.f64 1 (*.f64 re re)))
(.f64 (.f64 im im) (/.f64 (-.f64 1 (*.f64 re re)) (-.f64 1 re)))
(.f64 im (.f64 (/.f64 im (-.f64 1 re)) (-.f64 1 (*.f64 re re))))
(/.f64 (.f64 (.f64 im im) (+.f64 1 (pow.f64 re 3))) (+.f64 1 (-.f64 (*.f64 re re) re)))
(/.f64 (.f64 im im) (/.f64 (+.f64 1 (-.f64 (.f64 re re) re)) (+.f64 1 (pow.f64 re 3))))
(/.f64 im (/.f64 (+.f64 1 (-.f64 (.f64 re re) re)) (.f64 im (+.f64 1 (pow.f64 re 3)))))
(*.f64 (/.f64 im (-.f64 (fma.f64 re re 1) re)) (fma.f64 im (pow.f64 re 3) im))
(/.f64 (.f64 (-.f64 1 (.f64 re re)) (*.f64 im im)) (-.f64 1 re))
(/.f64 (.f64 im im) (/.f64 (-.f64 1 re) (-.f64 1 (.f64 re re))))
(.f64 (/.f64 (.f64 im im) (-.f64 1 re)) (-.f64 1 (*.f64 re re)))
(.f64 (.f64 im im) (/.f64 (-.f64 1 (*.f64 re re)) (-.f64 1 re)))
(.f64 im (.f64 (/.f64 im (-.f64 1 re)) (-.f64 1 (*.f64 re re))))
(/.f64 (.f64 (+.f64 1 (pow.f64 re 3)) (.f64 im im)) (+.f64 1 (-.f64 (*.f64 re re) re)))
(/.f64 (.f64 im im) (/.f64 (+.f64 1 (-.f64 (.f64 re re) re)) (+.f64 1 (pow.f64 re 3))))
(/.f64 im (/.f64 (+.f64 1 (-.f64 (.f64 re re) re)) (.f64 im (+.f64 1 (pow.f64 re 3)))))
(*.f64 (/.f64 im (-.f64 (fma.f64 re re 1) re)) (fma.f64 im (pow.f64 re 3) im))
(pow.f64 (.f64 (+.f64 1 re) (.f64 im im)) 1)
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(pow.f64 (*.f64 im (sqrt.f64 (+.f64 1 re))) 2)
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(pow.f64 (cbrt.f64 (.f64 (+.f64 1 re) (.f64 im im))) 3)
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(pow.f64 (pow.f64 (.f64 (+.f64 1 re) (.f64 im im)) 3) 1/3)
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(sqrt.f64 (*.f64 (pow.f64 (+.f64 1 re) 2) (pow.f64 im 4)))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(log.f64 (pow.f64 (exp.f64 (+.f64 1 re)) (*.f64 im im)))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (+.f64 1 re) (.f64 im im)))))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(cbrt.f64 (pow.f64 (.f64 (+.f64 1 re) (.f64 im im)) 3))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(expm1.f64 (log1p.f64 (.f64 (+.f64 1 re) (.f64 im im))))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))
(exp.f64 (+.f64 (log1p.f64 re) (*.f64 2 (log.f64 im))))
(.f64 (.f64 im im) (exp.f64 (log1p.f64 re)))
(exp.f64 (.f64 (+.f64 (log1p.f64 re) (.f64 2 (log.f64 im))) 1))
(exp.f64 (+.f64 (log1p.f64 re) (*.f64 2 (log.f64 im))))
(.f64 (.f64 im im) (exp.f64 (log1p.f64 re)))
(log1p.f64 (expm1.f64 (.f64 (+.f64 1 re) (.f64 im im))))
(.f64 (+.f64 re 1) (.f64 im im))
(.f64 im (+.f64 im (.f64 im re)))
(*.f64 im (fma.f64 im re im))

eval21.0ms (0.2%)

Compiler: Compiled 622 to 390 computations (37.3% saved)

prune17.0ms (0.2%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	1	0	1
Done	0	7	7
Total	37	10	47

Error

100.0%

Counts

47 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.0%	(+.f64 (+.f64 1 re) (.f64 -1/2 (.f64 re (*.f64 im im))))
▶	34.2%	(+.f64 (+.f64 1 re) (.f64 -1/2 (.f64 im (*.f64 im re))))
▶	33.0%	(+.f64 (+.f64 1 re) (.f64 -1/2 (.f64 im im)))
✓	36.9%	(+.f64 1 re)
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	65.2%	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
✓	65.1%	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))
✓	65.1%	(*.f64 (cos.f64 im) (+.f64 re 1))
✓	71.2%	(exp.f64 re)
✓	65.0%	(cos.f64 im)

Compiler

Compiled 97 to 70 computations (27.8% saved)

localize16.0ms (0.2%)

Compiler: Compiled 26 to 14 computations (46.2% saved)

localize24.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	99.8%	(.f64 im (.f64 im re))

Compiler

Compiled 35 to 15 computations (57.1% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1146×	`add-sqr-sqrt`
1136×	`*-un-lft-identity`
1068×	`pow1`
1048×	`add-cube-cbrt`
1028×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	119	13
2	1441	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 im (.f64 im re))

Outputs

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

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1654×	`distribute-rgt-in`
1626×	`distribute-lft-in`
1322×	`log-prod`
820×	`associate-+r+`
808×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	455
1	88	455
2	339	455
3	2029	455

Stop Event

1×	node limit

Counts

35 → 13

Calls

Call 1

Inputs
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(-.f64 (+.f64 1 (.f64 im (.f64 im re))) 1)
(pow.f64 (.f64 im (.f64 im re)) 1)
(pow.f64 (*.f64 im (sqrt.f64 re)) 2)
(pow.f64 (cbrt.f64 (.f64 im (.f64 im re))) 3)
(pow.f64 (pow.f64 (.f64 im (.f64 im re)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 im (.f64 im re)) 2))
(log.f64 (pow.f64 (exp.f64 im) (*.f64 im re)))
(cbrt.f64 (pow.f64 (.f64 im (.f64 im re)) 3))
(expm1.f64 (log1p.f64 (.f64 im (.f64 im re))))
(exp.f64 (log.f64 (.f64 im (.f64 im re))))
(log1p.f64 (expm1.f64 (.f64 im (.f64 im re))))

Outputs
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(-.f64 (+.f64 1 (.f64 im (.f64 im re))) 1)
(.f64 re (.f64 im im))
(pow.f64 (.f64 im (.f64 im re)) 1)
(.f64 re (.f64 im im))
(pow.f64 (*.f64 im (sqrt.f64 re)) 2)
(.f64 re (.f64 im im))
(pow.f64 (cbrt.f64 (.f64 im (.f64 im re))) 3)
(.f64 re (.f64 im im))
(pow.f64 (pow.f64 (.f64 im (.f64 im re)) 3) 1/3)
(.f64 re (.f64 im im))
(sqrt.f64 (pow.f64 (.f64 im (.f64 im re)) 2))
(.f64 re (.f64 im im))
(log.f64 (pow.f64 (exp.f64 im) (*.f64 im re)))
(.f64 re (.f64 im im))
(cbrt.f64 (pow.f64 (.f64 im (.f64 im re)) 3))
(.f64 re (.f64 im im))
(expm1.f64 (log1p.f64 (.f64 im (.f64 im re))))
(.f64 re (.f64 im im))
(exp.f64 (log.f64 (.f64 im (.f64 im re))))
(.f64 re (.f64 im im))
(log1p.f64 (expm1.f64 (.f64 im (.f64 im re))))
(.f64 re (.f64 im im))

localize18.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	91.5%	(.f64 re (.f64 im im))

Compiler

Compiled 35 to 15 computations (57.1% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`add-sqr-sqrt`
1110×	`*-un-lft-identity`
1042×	`pow1`
1026×	`add-cube-cbrt`
1010×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	120	13
2	1473	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 re (.f64 im im))

Outputs

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

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1474×	`distribute-rgt-in`
1446×	`distribute-lft-in`
1184×	`log-prod`
740×	`associate-r`
696×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	455
1	94	455
2	354	455
3	1919	455

Stop Event

1×	node limit

Counts

35 → 14

Calls

Call 1

Inputs
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(*.f64 re (pow.f64 im 2))
(-.f64 (+.f64 1 (.f64 re (.f64 im im))) 1)
(pow.f64 (.f64 re (.f64 im im)) 1)
(pow.f64 (*.f64 im (sqrt.f64 re)) 2)
(pow.f64 (cbrt.f64 (.f64 re (.f64 im im))) 3)
(pow.f64 (pow.f64 (.f64 re (.f64 im im)) 3) 1/3)
(sqrt.f64 (.f64 (.f64 re re) (pow.f64 im 4)))
(log.f64 (pow.f64 (exp.f64 re) (*.f64 im im)))
(cbrt.f64 (pow.f64 (.f64 re (.f64 im im)) 3))
(expm1.f64 (log1p.f64 (.f64 re (.f64 im im))))
(exp.f64 (log.f64 (.f64 re (.f64 im im))))
(log1p.f64 (expm1.f64 (.f64 re (.f64 im im))))

Outputs
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(*.f64 re (pow.f64 im 2))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(-.f64 (+.f64 1 (.f64 re (.f64 im im))) 1)
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(pow.f64 (.f64 re (.f64 im im)) 1)
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(pow.f64 (*.f64 im (sqrt.f64 re)) 2)
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(pow.f64 (cbrt.f64 (.f64 re (.f64 im im))) 3)
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(pow.f64 (pow.f64 (.f64 re (.f64 im im)) 3) 1/3)
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(sqrt.f64 (.f64 (.f64 re re) (pow.f64 im 4)))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(log.f64 (pow.f64 (exp.f64 re) (*.f64 im im)))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(cbrt.f64 (pow.f64 (.f64 re (.f64 im im)) 3))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(expm1.f64 (log1p.f64 (.f64 re (.f64 im im))))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(exp.f64 (log.f64 (.f64 re (.f64 im im))))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))
(log1p.f64 (expm1.f64 (.f64 re (.f64 im im))))
(.f64 re (.f64 im im))
(.f64 im (.f64 re im))

eval10.0ms (0.1%)

Compiler: Compiled 355 to 213 computations (40% saved)

prune12.0ms (0.1%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	27	10	37

Error

100.0%

Counts

37 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.0%	(+.f64 (+.f64 1 re) (.f64 -1/2 (.f64 re (*.f64 im im))))
✓	34.2%	(+.f64 (+.f64 1 re) (.f64 -1/2 (.f64 im (*.f64 im re))))
✓	33.0%	(+.f64 (+.f64 1 re) (.f64 -1/2 (.f64 im im)))
✓	36.9%	(+.f64 1 re)
✓	100.0%	(*.f64 (exp.f64 re) (cos.f64 im))
✓	65.2%	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2))))
✓	65.1%	(.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2))))
✓	65.1%	(*.f64 (cos.f64 im) (+.f64 re 1))
✓	71.2%	(exp.f64 re)
✓	65.0%	(cos.f64 im)

Compiler

Compiled 97 to 70 computations (27.8% saved)

regimes68.0ms (0.7%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

25.0ms	(cos.f64 im)
14.0ms	im
13.0ms	re
8.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	(exp.f64 re)

Results

Error	Segments	Branch
100.0%	1	`re`
100.0%	1	`im`
100.0%	1	`(*.f64 (exp.f64 re) (cos.f64 im))`
100.0%	1	`(exp.f64 re)`
100.0%	1	`(cos.f64 im)`

Compiler

Compiled 113 to 69 computations (38.9% saved)

regimes271.0ms (2.9%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

4 calls:

105.0ms	im
95.0ms	(cos.f64 im)
61.0ms	re
5.0ms	(exp.f64 re)

Results

Error	Segments	Branch
98.6%	2	`re`
86.2%	5	`im`
98.6%	2	`(exp.f64 re)`
86.9%	6	`(cos.f64 im)`

Compiler

Compiled 101 to 63 computations (37.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9889269205694848	0.9988372584498164

Compiler

Compiled 12 to 9 computations (25% saved)

regimes348.0ms (3.8%)

Counts

9 → 2

Calls

Call 1

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

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

Calls

4 calls:

174.0ms	im
140.0ms	(cos.f64 im)
23.0ms	re
7.0ms	(exp.f64 re)

Results

Error	Segments	Branch
98.5%	2	`re`
86.2%	5	`im`
98.5%	2	`(exp.f64 re)`
86.8%	6	`(cos.f64 im)`

Compiler

Compiled 85 to 53 computations (37.6% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9889269205694848	0.9988372584498164

Compiler

Compiled 12 to 9 computations (25% saved)

regimes231.0ms (2.5%)

Counts

8 → 2

Calls

Call 1

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

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

Calls

4 calls:

119.0ms	im
85.0ms	(cos.f64 im)
17.0ms	re
7.0ms	(exp.f64 re)

Results

Error	Segments	Branch
98.2%	2	`re`
86.1%	5	`im`
98.2%	2	`(exp.f64 re)`
86.8%	6	`(cos.f64 im)`

Compiler

Compiled 73 to 46 computations (37% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9889269205694848	0.9988372584498164

Compiler

Compiled 12 to 9 computations (25% saved)

regimes195.0ms (2.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

4 calls:

104.0ms	(cos.f64 im)
50.0ms	im
30.0ms	re
9.0ms	(exp.f64 re)

Results

Error	Segments	Branch
99.4%	3	`re`
86.1%	5	`im`
99.4%	3	`(exp.f64 re)`
86.8%	6	`(cos.f64 im)`

Compiler

Compiled 67 to 43 computations (35.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	1.0	1.00000000002075
0.0ms	0.9889269205694848	0.9988372584498164

Compiler

Compiled 12 to 9 computations (25% saved)

regimes32.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(cos.f64 im)

Calls

3 calls:

13.0ms	im
9.0ms	re
8.0ms	(cos.f64 im)

Results

Error	Segments	Branch
65.0%	1	`re`
65.0%	1	`im`
65.0%	1	`(cos.f64 im)`

Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes22.0ms (0.2%)

Accuracy

Total -2.8b remaining (-6.8%)

Threshold costs -2.80b (-6.8%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(+.f64 1 re)

Calls

2 calls:

11.0ms	im
8.0ms	re

Results

Error	Segments	Branch
36.9%	1	`re`
36.9%	1	`im`

Compiler

Compiled 55 to 35 computations (36.4% saved)

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-commutative`
8×	`+-commutative`
2×	`1-exp`
2×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	221
1	53	221

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)))))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2)))))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (exp.f64 re) (if (<=.f64 (exp.f64 re) 1) (cos.f64 im) (exp.f64 re)))
(cos.f64 im)
(+.f64 1 re)

Outputs
(*.f64 (exp.f64 re) (cos.f64 im))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 (.f64 re re) (+.f64 (.f64 re 1/6) 1/2)))))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (exp.f64 re) (.f64 (cos.f64 im) (+.f64 (+.f64 re 1) (.f64 re (*.f64 re 1/2)))))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (exp.f64 re) (*.f64 (cos.f64 im) (+.f64 re 1)))
(if (<=.f64 (exp.f64 re) 4458563631096791/4503599627370496) (exp.f64 re) (if (<=.f64 (exp.f64 re) 1) (cos.f64 im) (exp.f64 re)))
(cos.f64 im)
(+.f64 1 re)
(+.f64 re 1)

Compiler

Compiled 95 to 63 computations (33.7% saved)

soundness0.0ms (0%)

end128.0ms (1.4%)

Compiler: Compiled 83 to 42 computations (49.4% saved)

Details

analyze243.0ms (2.6%)

sample3.4s (37.1%)

preprocess9.0ms (0.1%)

simplify48.0ms (0.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize11.0ms (0.1%)

series10.0ms (0.1%)

rewrite91.0ms (1%)

simplify130.0ms (1.4%)

eval15.0ms (0.2%)

prune72.0ms (0.8%)

localize5.0ms (0.1%)

localize5.0ms (0.1%)

localize13.0ms (0.1%)

series4.0ms (0%)

rewrite108.0ms (1.2%)

simplify91.0ms (1%)

localize27.0ms (0.3%)

series3.0ms (0%)

rewrite179.0ms (1.9%)

simplify433.0ms (4.7%)

localize38.0ms (0.4%)

series8.0ms (0.1%)

rewrite308.0ms (3.3%)

simplify361.0ms (3.9%)

eval942.0ms (10.2%)

prune664.0ms (7.2%)

localize5.0ms (0.1%)

localize27.0ms (0.3%)

series3.0ms (0%)

rewrite99.0ms (1.1%)

simplify119.0ms (1.3%)

eval21.0ms (0.2%)

prune17.0ms (0.2%)

localize16.0ms (0.2%)

localize24.0ms (0.3%)

series3.0ms (0%)

rewrite81.0ms (0.9%)

simplify66.0ms (0.7%)

localize18.0ms (0.2%)

series4.0ms (0%)

rewrite81.0ms (0.9%)

simplify55.0ms (0.6%)

eval10.0ms (0.1%)

prune12.0ms (0.1%)

regimes68.0ms (0.7%)

regimes271.0ms (2.9%)

bsearch0.0ms (0%)

regimes348.0ms (3.8%)

bsearch0.0ms (0%)

regimes231.0ms (2.5%)

bsearch0.0ms (0%)

regimes195.0ms (2.1%)

bsearch1.0ms (0%)

regimes32.0ms (0.3%)

regimes22.0ms (0.2%)

simplify13.0ms (0.1%)

soundness0.0ms (0%)

end128.0ms (1.4%)

Profiling